Algebra LAB
Week 7 Test (Equations)
40 points
SOLVE.
Name_________________________
Date__________________________
SHOW YOUR WORK.
1.
x + 17 = 9
2.
15 – x = 6
3.
3x = -36
4.

5.
2x + 6 – 6x = 30
6.
6(x -2) + 4x = 18
7. 4(2x -3) + 7 = 8x + 5
8. 4 
1
y  20
5
2
x8
3
9. Which of the following statements is TRUE?
a. An equation that is an IDENTITY has many solutions
b. An equation that is an IDENTITY has one solution.
c. If the last step in solving an equation is -4 = -6, the equation is an
IDENTITY.
d. If a transformation when solving an equation produces 2x+3 = 2x+3,
there will be NO SOLUTION to the equation.
10. Sam solved a multi-step equation and found –x = 7 to be his solution. His
teacher told him his answer was not correct. What is the correct way Sam
should write his answer?
a. –x = -7
b. x = 7
c. x = -7
d. –x = 7
11. Lucy solved the equation
x
 24 and determined the answer to be 6.
4
Which of the following statements is correct?
a. Lucy’s answer is correct.
b. Lucy’s answer should have been – 6 (she forgot the negative sign)
c. Lucy should have multiplied by 4 and determined 96 to be the correct
answer.
d. Lucy’s answer is not correct because she should have multiplied by 4
and found the answer x = -96.
WRITE AND SOLVE THE EQUATION.
12. Five more than 4 times a number is 33.
Select the correct equation
a. 5x + 4 = 33
c. 5 * 4 + x = 33
b. 5 + 4x = 33
d. 5 + 4 + x = 33
13. Five more than 4 times a number is 33.
Select the correct answer
a. 5.8
c. 7
b. 13
d. 24
14. The length of a rectangle is 5 in more than its width. The perimeter of the
rectangle is 42 inches. Find the WIDTH of the rectangle.
Identify the equation which represents the problem.
a. L * W = 42
b. 2L * 2(W + 5) = 42
c. 2W + 2(W + 5) = 42
d. 5 + 5 + L + L = 42
15. What is the WIDTH of the rectangle in #14?
TYPE ONLY A NUMBER IN THE BOX PROVIDED.
16. What number must you multiply each side of the equation
3
x  12 by to
5
produce the equivalent fraction x = 20?
a. – 5/3
b. -3/5
c. 3/5
d. 5/3
17. x + 4 – 7x = 22
a. - 5
c. 3
d. 5
b. - 3
18. Which properties of equality justify steps c and f?
a.
b.
c.
d.
Subtraction property of equality; Multiplication property of equality
Addition property of equality; Division property of equality
Addition property of equality; Subtraction property of equality
Multiplication property of equality; Division property of equality
19. A copy center offers its customers two different pricing plans for black and white
photocopy pages. Customers can either pay $0.08 per page or pay $7.50 for a discount
card and a lower cost of $0.05 per page. Write an equation to find the number of copies
for which the cost of each plan is the same.
a. 0.08c = 0.05c + 7.50
b. 0.08c = 0.05c – 7.50
c. 0.05c = 0.08c + 7.50
d. 7.50 = 0.08c + 0.05c
20. Find the value of each angle.
(4x + 12)⁰
(3x + 32)⁰
a. 20⁰
c. 90⁰
b. 92⁰
d. 24⁰
EXTRA CREDIT:
21. An equilateral triangle has a perimeter of 36. Find the length of each side.
Which statement is NOT true.
a. I can use the equation 3x = 36 to solve this problem.
b. All 3 sides of an equilateral triangle are the same length.
c. To find the perimeter of the triangle, I should use P = 1/2 bh.
d. The equation that represents this problem is x+x+x = 36.
22. What is the length of each side of the triangle in #20?
TYPE ONLY A NUMBER IN THE BOX PROVIDED.