4
Chapter 1 Practice Test Questions
Practice Test 1
1. Evaluate a + 2 + a for a = 6.
2.
Simplify. 2(3) + 20 4
Write an equivalent expression using a commutative property.
3. ad
4. 2 + y
5.
Simplify. 
6. Write using exponential notation. (3c)(3c)
Evaluate each expression.
7. 
8. 
Calculate.
9.
Evaluate each expression.
10.
for
x = 3
11. 4(a + 1) for a = 5
Use the distributive property to write an equivalent expression.
12. 3(y + 2)
13. 2(4m + 7)
Factor.
14. 2a + 10
15. 3b + 6c
Collect like terms.
16. 4d + 3d
17. 3y + 4x + 6y
18. Write an algebraic expression for 8 more than z.
19. Let t be Tom’s age. Susan is 4 years older than Tom. Write an expression for Susan’s age.
Solve for the given replacement set.
20. 2p + 1 = 13 {5, 6, 7}
21. 3x + 2 = x + 12 {2, 3, 5}
22. The two equations are equivalent. What was done to the first equation to get the second equation? 2x + 1 = 15 and 2x = 14
Solve mentally.
23. 3x = 27
24. y + 5 = 25
25. Find the time (t) that it takes for a car moving at a rate (r) of 55 mi/h to travel a distance (d) of 275 mi using the formula t = d/r
Practice Test 2
1. Evaluate b + 5 + b for b = 3.
2. Simplify. 15 + 3 + 4 X 8
Write an equivalent expression using a commutative property.
3. cd
4. x + 3
5.
Simplify. 
6. Write using exponential notation. (4y)(4y)(4y)
Evaluate each expression.
7. 
for
a = 2
8. 
for
y = 3
Calculate.
9. 
10.
Evaluate each expression.
11.
for
y = 2
12.
for
m = 2
Use the distributive property to write an equivalent expression.
13. 2(x + 6)
14. (3y + 2 + 4p)3
Factor.
15. 5m + 35
16. 8y + 16v + 12
Collect like terms.
17. 6y + 3y
18. 3m + 2n + 4m + 6n
19. Write an algebraic expression for the difference of 5 from b.
20. Let x be Bob’s age. Heather is 5 years younger than Bob. Write an expression for Heather’s age.
Solve for the given replacement set.
21. 5x - 4 = x + 4 {0, 2, 6}
22.
{1,2,3,4}
23. The two equations are equivalent. What was done to the first equation to get the second equation? 7x - 42 = 63 and x - 6 = 9
Solve mentally.
24. 4x = 48
25. y + 9 = 20
Evaluate.
26. Use
the formula 
to
find the area of a trapezoid with height (h) of 2 ft, and bases (b) and (c) of
3/4 ft and 1/4 ft
Practice Test 3
1. Evaluate
for
m
= 6 and n = 2.
2. Simplify 12
x 2 + 32
8.
Write an equivalent expression using a commutative property.
3. (m)(n)
4. 2 + a
5. Simplify.
6. Write in exponential notation. (5)(x)(x)(x)
Evaluate each expression.
7. 
for
m = 4
8. 
for
y = 3
Calculate.
9. 
10.
Evaluate.
11.
for
m = 2
12. (y + 3) (6 - y) for y = 3
Use the distributive property to write an equivalent expression.
13. 5(4m + 2)
14. (6m + 4 + n)3
Factor.
15. 36 + 18y
16. 12 + 6m + 9x
Collect like terms.
17. 16y + y
18.
19. Write an algebraic expression for m fewer than y.
20. Let x be Linda’s age now. Write an expression for Linda’s age 9 years from now.
Solve for the given solution set.
21. 3x + 12 = 12 {0, 1, 7}
22.
{1,
2, 3}
23. The two equations are equivalent. What was done to the first equation to get the second equation? 2x + 18 = 45 and 2x = 27
Solve mentally.
24. 7x = 77
25. a - 21 = 3
Evaluate.
26. y = lwh for l = 8 ft, w = 5 ft, and h = 2 yd
Practice Test 4
Work each question carefully. Then write the letter of the best answer choice in the answer column.
1.
Evaluate 
for
m = 12 and n = 9.
2.
Simplify 35 5
+ (2)(7)
3. Use a commutative property to find an expression equivalent to a + bc.
4.
Simplify. 
5. Find
the meaning of the expression 
6. Find the exponential notation for (3t)(3t)(3t)(3t)
7.
Evaluate 
for
x = 9 and y = 3. .
8.
Evaluate 
for
m = 2.
9.
Evaluate 
for
r = 2.
10.
Calculate. 
.
11.
Calculate. 
.
12.
Evaluate 
for
y = 2.
13.
Evaluate 
for
x = 3.
14. Use an associative property to find an expression equivalent to (6 + r) + s.
15. Use the distributive property to find an expression equivalent to 5(y +2)
16. Factor. 16y + 12
17. Factor. 35 - 15m + 5n
18. Collect like terms for 3a + a.
19. Collect like terms for 4b + 5 + 3 + 2b.
20. Let x be the total amount spent for record albums. Each of the 4 albums costs the same. Find an expression for the cost of 1 album.
21. Solve for the given solution set. 3y - 5 = 16 {5, 6, 7, 8}
22.
Solve for the given solution set. 
{0,
1, 2}
23. These two equations are equivalent: 12x - 48 = 60 and x - 4 = 5.
What was done to the first equation to get the second equation?
24. Solve mentally. 8x = 88
25. Solve mentally. y - 5 = 30
26. Evaluate the distance formula D = rt for = 60mi/h and t = 4.5 h.
27. Evaluate the perimeter formula P = 2(a + b) for a = 11 ft and b = 6 ft.
Practice Test 5
1.
Evaluate 
for
x = 36 and y = 4.
2. Evaluate 4(c + 2) for c = 3.
3.
Simplify. 16 (4)(2)
+ 3.
4. Write an expression equivalent to 6 + 3x using a commutative property.
5.
Simplify. 
6. Write using exponential notation. 3(x)(x)(x)(x)
7.
Evaluate 
for
x = 2.
8.
Evaluate 
for
x = 2 and y = 1.
9.
Calculate. 
10.
Evaluate 
for
q = 2.
11. Evaluate (x + 3)(10 - x) for x = 4.
12. Use the commutative and associative properties to write two expressions equivalent to the expression. (2m + 3) + n
Use the distributive property to write an equivalent expression.
13. 4(b + 5)
14. (5x + y + 2)3
15. Factor. 3c + 18
16. Factor. 8a + 16b + 32
17. Collect like terms. 8a + 7b + 6a + 6
18. Simplify. 3(x + 2) + 4(x + 2)
19. Write an algebraic expression for the sum of g and twice h.
20. Let q be the number of quarters Laura saved this week. Mark saved 4 fewer quarters than Laura. Write an expression for the number of quarters Mark saved this week.
Solve for the given replacement set.
21. 3x – 4 = 14 {4, 5, 6}
22.
{2,
4, 6}.
23. The two equations are equivalent. What was done to the first equation to get the second equation? 10x - 50 = 90 and x - 5 = 9.
Solve mentally.
24.
25. 2x + 3x = 35
26.
Evaluate 
for
l = 12 in., w = 6 in., and h = 10 ft.