Cumulative test, lessons 11 to 14

Lesson 11     Equations in one unknown
Lesson 12     Equations in two unknowns
Lesson 13     Quadratic equations
Lesson 14     Inequations in one unknown

This summative assessment will allow you to measure your level of comprehension of the mathematical notions presented in Lessons 11 to 14.

Before proceeding to answer the questions, ensure that you have a pencil and some paper handy.

You may now begin the first question or review the lessons, if you wish.

For each question, click on the box corresponding to your answer, and then click on the 'Submit Answer' button.

1- Solve: 8x - 2(3 - 8x) = 18 + 8(1 + x)
x = -2 x = 2 Neither of these answers is correct.


2- Solve: 3ax-5b = bx+c où a,b,c R
x = x = Neither of these answers is correct.
     


3- Solve: =
x = -17 x = -17/13 x = 17


4- Solve:
2x + 3y = 8
-4x + 2y = 0
x = 1 and y = 2 x = -1 and y = 2 x = 1 and y = -2
     


5- Solve:
3x - y = -3
x = y +3
x = 0 and y = -3 x = -3 and y = -6 x = 3 and y = -6
     


6- Find the value of y which satisfies the following system of equations;
ax + 2y = 2
x - by = 3 a, b R
y = It is impossible to solve this system if you do not know the values of a and b. I need help.
     


7- Solve: -x2 + 8x = 12
and x = -2 and
x = -6		 x = 2 and
x = 6
     


8- Solve: 7x2 - 12x + 11 = 5x2 - 5
x = 4 and x = 2 x = 1 and x = -1 I need help.
     


9- Solve: < -
x 1 x < 1 x > 1
     


10- Find which set of values of x simultaneously satisfy the following two inequations;
(1) 2x + 1 3
(2) 4x - 2 > x - 2
0 < x 1 0 x 1 I need help.