Тест по алгебре за полугодие в 7 классе

I вариант

 

Алгебра

1. Из предложенных четырех пар чисел (a;b) выделите ту, которая является недопустимой для алгебраического выражения.

 

А) a=1, b=1;     Б) a=3, b= - 6;     В) a=0, b=3;     Г) a= - 5, b= - 10.

 

2. У Васи a карандашей, у Коли b карандашей, у Вити c карандашей. Когда Вася и Коля сложили свои карандаши вместе, оказалось, что их в 3 раза больше, чем у Вити. Составьте математическую модель этой ситуации.

А) a+b=c-3;     Б) a+b-3=c;     В) a+b=3c;     Г) 3(a+b)=c.

 

3. Укажите наибольшее целое число, принадлежащее промежутку (-∞; 9,2].

А) 9;     Б) 0;      В) 10;     Г) 8.

 

4. Какая из точек принадлежит графику линейного уравнения 3х-2у+4=0?

А) А(-1;1);                   В) С(0;2);      

Б) В(0;-2);                    Г) D(1;3).

 

5. Найдите наибольшее значение линейной функции у=2х-1 на отрезке

[-2;0].                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             А) 3;     Б) 1;     В) 0;      Г) -1.

 

6. На рисунке изображен график линейной функции у=kх+m. Какие знаки имеют коэффициенты k и m?

А) k > 0, m > 0;      Б) k > 0, m < 0;     В) k < 0, m > 0;     Г) k < 0, m < 0.

 Написать ответ в №7и №8

7. Найдите значение выражения  10х-20у  при  х=1, у=2.

 

8. Решите систему уравнений

     2х+11у=15

    10х-11у=9.

 

Написать подробное решение в №9

9. В трех коробках лежат 160 карандашей. Известно, что во второй коробке их в 3 раза больше, чем в первой, а в третьей – в 4 раза больше, чем во второй. Сколько карандашей во второй коробке?

 

Геометрия

10. Выберите верные утверждения:

1) Равные углы смежные;

2) Через любые две точки проходит только одна прямая;

3) Углы равностороннего треугольника равны;

4) Треугольник равнобедренный, если его высота совпадает с медианой.

 А) 1,2,4;     Б) 2,3,4;      В) 1,4;     Г) 1,2,3,4.

 

11. Луч ОС является биссектрисой угла АОВ. Найдите АОС, если

АОВ=86.

А) 43;        Б) 172;         В) 86;       Г) 45.

 

12. Точка М является серединой отрезка АВ. Найдите АВ, если АМ=3 см.

А) 8 см;         Б) 6 см;               В) 5 см;          Г) 9 см.

 

Написать ответ в №13

13. В равнобедренном треугольнике боковая сторона равна 7 см, а периметр равен 17 см. Вычислите основание треугольника.

 

Написать подробное решение в №14

14. В треугольниках АВС и MNK  AB=MN, BC=NK, В=N. Найдите сторону МК и А, если АС=5см, М=43.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Тест за полугодие в 7 классе

II вариант

 

Алгебра

1. Из предложенных четырех пар чисел (a;b) выделите ту, которая является недопустимой для алгебраического выражения.

 

А) a=1, b=1;     Б) a=3, b= - 9;     В) a= - 1, b= - 3;     Г) a=0, b=3.

 

2. У Тани х кукол, у Оли у кукол, у Маши z кукол. Когда Таня и Маша сложили свои куклы вместе, оказалось, что их в 2 раза больше, чем  у Оли. Составьте математическую модель этой ситуации.

А) х+z=у-2;     Б) х+z=2у;     В) z+х-2=у;     Г) 2(х+z)=у.

 

3. Сколько целых чисел принадлежит промежутку (2;8)?

А) 7;     Б) 10;      В) 6;     Г) 5.

 

4. Какая из точек принадлежит графику линейного уравнения 2х-3у+7=0?

А) А(-1;1);                   В) С(0;2);      

Б) В(0;-2);                    Г) D(1;3).

 

5. Найдите наименьшее значение линейной функции у=1-3х на отрезке [1;3].                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             А) -8;     Б) 1;     В) 10;      Г) -2.

 

6. На рисунке изображен график линейной функции у=kх+m. Какие знаки имеют коэффициенты k и m?

А) k > 0, m > 0;      Б) k > 0, m < 0;     В) k < 0, m > 0;     Г) k < 0, m < 0.

 

Написать ответ в №7и №8

7. Найдите значение выражения  -15а+11b  при  а=2, b=3.

 

8. Решите систему уравнений

Написать подробное решение в №9

9. На трех полках 120 книг. Известно, что на второй полке их в 3 раза больше, чем на третьей и в 2 раза меньше, чем на первой. Сколько книг находится на второй полке?

 

Геометрия

10. Выберите верные утверждения:

1) Вертикальные углы равны;

2) Две прямые имеют более одной точки пересечения;

3) Сумма смежных углов равна 180.;

4) В равнобедренном треугольнике высота, проведенная к основанию, не является медианой.    

 А) 1,2,4;     Б) 1,3;      В) 1,4;     Г) 1,2,3.

 

11. Луч ОВ является биссектрисой угла АОС. Найдите АОС, если

АОВ=48.

А) 48;        Б) 24;         В) 96;       Г) 45.

 

12. Точка А является серединой отрезка МN. Найдите АN, если МN=8 см.

А) 8 см;            Б) 4 см;             В) 16 см;          Г) 20 см.

 

Написать ответ в №13

13. В равнобедренном треугольнике основание  равно 4 см, а периметр равен 20 см. Вычислите боковые стороны треугольника.

 

Написать подробное решение в №14

14. В треугольниках АВС и MNK  AB=MN, А=М, В=N. Найдите сторону МК и С, если АС=6см, К=76.