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Algebra Chapter 3 Practice Test
Name: _______________________________ Date: ___________________
Directions: In problems 1 – 10, solve the equation. Show all work.
1. 14j = 44
2. –y + 8 = -9
3
3. 6m - 11 = 21
4. 6y + 5 = 9y – 7
5. 2n – 6(2 + 3n) = 20
6. | -3 |b – 4(2 – 3b) = 19
7. xy + h = w
j
Solve for y.
8. ab – ce = d
Solve for e.
9. a + e = d
c b
Solve for b.
10. a + b = d
c-e
Solve for b.
11. The triangle has a perimeter of 41 centimeters. Solve for the missing sides.
10
x + 1
3x + 2
12. The circle has a circumference of 18 in. Approximate the radius of the circle.
Give your answers in terms of π.
r
13. One video rental club charges $25 to
become a member and
$2.00 to rent each video. Another charges no membership fee, but charges $2.75
to rent each video. How many videos must you rent to make the first club more
economical?
______ 14. Solve -3x – 6 = 4x + 8
a) -2
_____ 15. Solve 5x – 12 = 3x + 6
a) - 2¼
_____ 16. Solve
_____ 17. Solve
𝟐
𝟑
(9x – 13) + 7 = 12 – 6x
4x + 7 = 8x + 7
b) 2
b) 2¼
c) -14
d) 14
e) -1
c) ¾
d) –¾
e) 9
a) -4/3 b)11/8 c) 4/3
a) 7/2
b) -7/2 c) -3
d)11/9
e) 18
d) 3 e) 0
18. Your club decides to sell cookie dough to raise money. Every pound costs you
$3.50 and there is a one time delivery fee of $45. You plan to sell the stationery
for $7 per box. Which equation should you use to determine how many boxes you
must sell to cover your costs?
a) 3.50p – 45 = 7p
b) 45 – 7p = 3.50p
c) 3.50p + 45 = 7p
d) 45 – 3.50p = 7p
e) 7p + 45 = 3.50p
Directions: In exercises 19 & 20, choose the statement below that is true about
the given number.
a) The solution in column A is greater.
b) The solution in column B is greater.
c) The two solutions are equal.
d) The relationship cannot be determined from the given information.
Column A
Column B
19. x + 6 = |-4| y – 4 = -6
20. x + | -5 | = 6 3 = y + 7
19. _____
20. _____
Bonus: Solve for n. Show all steps!
5 + 2n = 12
7m - 1