Name: 
 

Pre-Algebra Chapter 2 Study Guide


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Name the property shown.
 

 1. 
5 × 7 = 7 × 5
a.
Identity Property of Multiplication
b.
Associative Property of Multiplication
c.
Commutative Property of Multiplication
d.
Identity Property of Addition
 

 2. 
(8 × 5) × 11 = 8 × (5 × 11)
a.
Commutative Property of Multiplication
b.
Commutative Property of Addition
c.
Identity Property of Multiplication
d.
Associative Property of Multiplication
 

 3. 
Which choice shows the next step needed to simplify mc003-1.jpg using the Distributive Property?
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
 
 
Simplify the expression.
 

 4. 
6(6) + 6(4)
a.
60
b.
10
c.
16
d.
12
 

 5. 
(10)9 – (10)11
a.
–2
b.
–20
c.
200
d.
8
 

 6. 
3x + 3x
a.
6x
b.
9x
c.
6xmc006-1.jpg
d.
6
 

 7. 
7d + 12 – 4d – 3
a.
19d – 7
b.
3d + 9
c.
3dmc007-1.jpg + 9
d.
12d
 

 8. 
2c + 2 + 5c
a.
9c
b.
9cmc008-1.jpg
c.
7c + 2
d.
4c + 5
 
 
Use the Distributive Property to multiply.
 

 9. 
5(b + 8)
a.
5b + 40
b.
5b + 8
c.
5b + 13
d.
8b + 40
 

 10. 
5(2t – 5)
a.
10t – 5
b.
7t – 25
c.
10t – 25
d.
–15t
 

 11. 
9(4m + 1)
a.
36m + 1
b.
36m + 9
c.
13m + 9
d.
45m
 

 12. 
Name the like terms in the expression 5a + 8 – 3a + 11.
a.
5a, 8
b.
8, 11
c.
5a, –3a
d.
5a, 3a
 

 13. 
Name the constant(s) in the expression 7x + 9y + 3.
a.
x and y
b.
7
c.
9
d.
3
 
 
State whether the equation is true, false, or an open sentence.
 

 14. 
mc014-1.jpg
a.
open sentence
b.
true
c.
false
 

 15. 
4(–3 + 5) = 4(–2 – 4)
a.
false
b.
true
c.
open sentence
 

 16. 
mc016-1.jpg
a.
false
b.
true
c.
open sentence
 
 
Is the given number a solution of the equation?
 

 17. 
13 – d = 8; 5
a.
no
b.
yes
 

 18. 
c = 2c – 4; 8
a.
yes
b.
no
 

 19. 
Write an equation. Is the given value a solution?

A farmer sees 56 of his cows out of the barn. He knows that he has 83 cows altogether. Let c represent the number of cows still in the barn. Are there 33 cows still in the barn?
a.
56 + 83 = c; no
c.
83 + c = 56; no
b.
56 + c = 83; no
d.
c + 33 = 56; yes
 
 
Solve the equation.
 

 20. 
a + 3 = 10
a.
7
b.
13
c.
–7
d.
30
 

 21. 
a – 4 = 12
a.
–8
b.
16
c.
8
d.
48
 

 22. 
y – 5 = –8
a.
13
b.
–3
c.
–40
d.
–13
 

 23. 
y + (–6) = –9
a.
–15
b.
–3
c.
54
d.
3
 

 24. 
9b = 27
a.
3
b.
18
c.
243
d.
36
 

 25. 
8,000g = 48,000
a.
40,000
b.
60
c.
6
d.
600
 

 26. 
–7b = 21
a.
14
b.
–3
c.
28
d.
–147
 

 27. 
mc027-1.jpg
a.
–3
b.
mc027-2.jpg
c.
54
d.
mc027-3.jpg
 

 28. 
mc028-1.jpg
a.
mc028-2.jpg
b.
–12
c.
mc028-3.jpg
d.
–35
 

 29. 
The odometer in your mother’s car reads 2,000 miles less than the odometer in your uncle’s car. Your mother’s odometer reads 19,000 miles. Write and solve an equation to find the number of miles m on your uncle’s car.
a.
m + 2,000 = 19,000; 17,000 mi
c.
m – 2,000 = 19,000; 21,000 mi
b.
m – 2,000 = 19,000; 17,000 mi
d.
19,000 – 2,000 = 17,000 mi
 
 
Graph the solutions of the inequality on a number line.
 

 30. 
mc030-1.jpg
a.
mc030-2.jpg
c.
mc030-4.jpg
b.
mc030-3.jpg
d.
mc030-5.jpg
 

 31. 
mc031-1.jpg
a.
mc031-2.jpg
c.
mc031-4.jpg
b.
mc031-3.jpg
d.
mc031-5.jpg
 

 32. 
Write an inequality for the graph.
mc032-1.jpg
a.
x mc032-2.jpg 3
b.
x mc032-3.jpg 3
c.
x mc032-4.jpg 3
d.
x mc032-5.jpg 3
 

 33. 
A road has a speed limit of 30 mi/h. Write an inequality that describes the legal speeds r for motor vehicles.
a.
mc033-1.jpg
b.
mc033-2.jpg
c.
mc033-3.jpg
d.
mc033-4.jpg
 

 34. 
Write an inequality for the sentence. Graph the solution on a number line.

c is not less than zero.
a.
c < 0
mc034-1.jpg
c.
c £ 0
mc034-3.jpg
b.
c > 0
mc034-2.jpg
d.
c ³ 0
mc034-4.jpg
 
 
Solve the inequality. Graph the solutions.
 

 35. 
a + 4 ³ 8
a.
a £ 4
mc035-1.jpg
c.
a ³ 4
mc035-3.jpg
b.
a £ 12
mc035-2.jpg
d.
a ³ 12
mc035-4.jpg
 

 36. 
h – 2 < –1
a.
h < 1
mc036-1.jpg
c.
h < –3
mc036-3.jpg
b.
h > 1
mc036-2.jpg
d.
h > –3
mc036-4.jpg
 

 37. 
q – 7 > 0
a.
q > –7
mc037-1.jpg
c.
q < 7
mc037-3.jpg
b.
q < –7
mc037-2.jpg
d.
q > 7
mc037-4.jpg
 

 38. 
Together, Louisa and Jill scored more than 30 points in the basketball game. If Jill scored 12 points, how many points P did Louisa score?
a.
P > 18
b.
P > 42
c.
P < 42
d.
P < 18
 
 
Solve the inequality.
 

 39. 
5n > –25
a.
n > –20
b.
n > –5
c.
n > 30
d.
n < –5
 

 40. 
42 < –6d
a.
d < –7
b.
d < 36
c.
d > –7
d.
d < –48
 

 41. 
mc041-1.jpg
a.
mc041-2.jpg 18
b.
mc041-3.jpg 18
c.
mc041-4.jpg mc041-5.jpg
d.
mc041-6.jpg 9
 

 42. 
mc042-1.jpg > 10
a.
y < –16
b.
y > –60
c.
y > 4
d.
y < –60
 

 43. 
Name the coefficients in the expression 4x + 9 – y.
a.
4, 9, 0
b.
4, –1
c.
4
d.
9
 

Short Answer
 

 44. 
A piggy bank has only nickels and dimes in it. There are 14 coins worth $0.95. How many nickels and dimes are in the bank?
 

 45. 
The seventh graders sold tickets to their play. The tickets cost $3 for students and $6 for adults. For one performance they sold 79 tickets and collected $375. How many student tickets and how many adult tickets were sold?
 

 46. 
The Ramirez family has three children. The sum of their ages is 11. The product of their ages is 24. How old are the children?
 



 
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