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Chapter 4 Study Questions

Total questions: 75

Worksheet time: 5hrs 50mins

Name
Class
Date
1.

What is the area of this figure?

a)

x2 + 2x + 8

b)

x2 + 6x + 2

c)

x2 + 2x + 2

d)

4x + 2

2.

What is the perimeter of this figure?

a)

4x + 6

b)

4x + 8

c)

6x + 6

d)

6x + 10

3.

If x = 3, what is the area of this figure?

a)

9

b)

18

c)

3

d)

6

4.

If x = 4, what is the perimeter of this figure?

a)

24

b)

11

c)

16

d)

8

5.

Simplify the following expression by combining like terms:

2x + 5 + x2 + 1 + 1 + 3x2

a)

4x2 + 7x + 2x + 9

b)

3x2 + 5x + 2

c)

12

d)

4x2 +2x + 7

6.

Simplify the expression by combining like terms:

3 + 5 + 2x + 3x + 2

a)

6

b)

5x + 10

c)

10x + 8

d)

5x - 2

7.

Rewrite the expression 4(3x + 1) without parentheses [think "four groups of (3x + 1)"].

a)

12x + 1

b)

12x + 4

c)

7x + 4

d)

7x + 1

8.

Rewrite the expression 2(2x + 5) without parentheses [think "two groups of (2x + 5)"]. This is the Distributive Property.

a)

4x + 10

b)

4x + 5

c)

2(2x + 5)

d)

4(x + 2)

9.

Simplify: 10 - 2(3+1)

a)

5.5

b)

5

c)

32

d)

2

10.

10 + 15(3 - 2) - 5(8 - 6)

a)

25

b)

15

c)

-15

d)

13

11.

What side is corresponding to line EF?

a)

BC

b)

ED

c)

EF

d)

AB

12.

What side is corresponding to line AB?

a)

DE

b)

EF

c)

BC

d)

DF

13.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
14.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
15.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
16.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
17.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
18.
Jessica is visiting Mexico and doesn't know her Spanish numbers. On the map she is 2 inches away from her destination. From the road sign ahead she knows that she is 8 miles away from her destination. What is the scale the map is using?
1 inch = ______ miles
a)
4
b)
16
c)
2
d)
10
19.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
20.
Solve for x 
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
21.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
22.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?


Which proportion is set up correctly?

a)
b)
c)

I have no idea.

23.

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?


Which set of proportions is set up correctly?

a)
b)
c)

I have no idea.

24.

The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?


Which proportion is set up correctly?

a)
b)
c)

I have no idea.

25.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound (dollars divided by pounds)?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

26.

Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza? (HINT: $ divided by slices)

a)

$12

b)

$1.50

c)

$3

d)

$1

27.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?


How will we find this?

a)

408 words divided by 4 minutes

b)

4 minutes divided by 408 words

c)

I have no idea.

28.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
29.

I paid $15.00 for 6 gallons of gasoline.

What was the price PER gallon?


How can we find the unit rate?

a)

$15/6 gallons

b)

6gallons/$15

c)

I have no idea.

30.
Find x.
a)
7
b)
3
c)
10
d)
-3
31.
Find x.
a)
3
b)
2
c)
-2
d)
1
32.
Find x.
a)
5
b)
-5
c)
66
d)
-66
33.
Find y.
a)
66
b)
-5
c)
-66
d)
5
34.
Solve the following:  
-8 + (15-3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
35.
True or False?
2 x 3 + 10 ÷ 2 = 8
a)
True
b)
False
36.
True or False?
2 + (4 x 5 - 2) + 8 = 28
a)
True
b)
False
37.
What would be my first step in solving this problem?
3 + 4 x 6 - 4
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
38.
What are the steps to solve the following expression?
50 − 16 ÷ 2 x (12 + 4)
a)
brackets
multiplication
subtraction
division
b)
brackets
multiplication
division
subtraction
c)
brackets
division
multiplication
subtraction
d)
brackets
subtraction
multiplication
division
39.
12 - 4 x 2 = 
a)
16
b)
4
c)
8
d)
18
40.
(7 + 41) ÷ 2 – 15 =
a)
19
b)
9
c)
25
d)
3
41.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
42.
(9 + 23) ÷ (5 - 3) = 
a)
16
b)
32
c)
15
d)
12
43.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
44.
15 + 7 × 2 – 11 + 35=
a)
38
b)
251
c)
53
d)
50
45.

5/3 x 2/5

a)

10/15

b)

2/3

c)

6/5

d)

6/25

46.

1/3 x 17/8

a)

17/24

b)

8/51

c)

24/17

d)

3/4

47.
Sparky, the school mascot, has been in school for 15 years. 3/5 of that time he wore a yellow shirt. How many years did Sparky wear a yellow shirt?
a)
9 years
b)
45/5 years
c)
8 years
d)
10 years
48.
3/8 of the class got an A.   If there are a total of 24 people who took the test, how many people earned an A?
a)
8 people
b)
7 people
c)
9 people
d)
11 people
49.
Snow fell in Newton twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?
a)
1/8
b)
3/10
c)
5/8
d)
7/8
50.
Simon has 1/5 of a gallon of cranberry juice, 1/3 of a gallon of apple juice, and 7/10 of a gallon of grape juice. How much juice does Simon have?
a)
9/30
b)
1/2
c)
1  7/30
d)
1  13/30
51.
A batch of oatmeal cookies calls for 3/4 cup of oatmeal. Ellen is making 4 1/2 batches of cookies. How many cups of oatmeal will she need?
a)
3
b)
3  1/8
c)
3  3/8
d)
4   4/6
52.
Gene ate 2/8 of the pizza pie. Tommy ate 1/8 of the pizza pie. What fraction of the pizza pie was eaten altogether?
a)
5/8
b)
4/8 or 1/2
c)
2/8 or 1/4
d)
3/8
53.
A pet store had five dogs to feed.  If they only had one-fourth of a bag of dog food and each dog got the same amount, what fraction of the bag would each dog get?
a)
20
b)
1/20
c)
16
54.
3 ¾ ×  2 ⅕
a)
6  3/20
b)
8 ¼
c)
5 ⅗
d)
7 3/20
55.
1 ⅞ x 2 ⅓
a)
2  7/24
b)
3  8/24
c)
4 ⅘
d)
4 ⅜
56.
1 ¼ × 2 ¾ =
a)
3 7/16
b)
1 1/2
c)
2 3/16
d)
4 1/4
57.
3 ⅗ x 2 ⅔ =
a)
5 6/15
b)
9 3/5
c)
6 2/5
d)
18/40
58.
Multiply.
a)
23/3
b)
5 3/12
c)
7⅔
d)
92/12
59.
1/4 + 2/6 =
a)
1 1/12
b)
12/12
c)
7/12 
d)
5/12
60.
5/8 - 1/2 
a)
9/8
b)
1 1/8
c)
1/8
d)
3/8
61.
6/7 - 2/3 =
a)
32/21
b)
4/21
c)
1 3/21
d)
7/21
62.
6 2/3   +   2 1/9 =
a)
9 1/9
b)
5/9
c)
8 5/9
d)
8 7/9
63.
4 3/4  +  3 5/8 =
a)
7 3/8
b)
8 3/8
c)
7 9/8
d)
6 1/8
64.
Approximately 33% is what fraction
a)
1/3
b)
1/8
c)
1/5
d)
1/4
65.
20% is what fraction?
a)
1/5
b)
2/5
c)
1/2
d)
1/4
66.
80% is what fraction?
a)
3/4
b)
4/5
c)
2/3
d)
3/5
67.
Write the following fraction as a percent. 
a)
37.5%
b)
30%
c)
42.5%
d)
267%
68.
Write 11/25 as a percent
a)
11%
b)
44%
c)
22%
d)
55%
69.
Write 13/20 as a percent
a)
13%
b)
20%
c)
65%
d)
26%
70.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
71.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
72.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
73.

Does the table show a proportional relationship? (y / x)

a)

Yes

b)

No

74.
Does the table show a proportional relationship?
a)
Yes
b)
No
75.
Shawn makes $7.50 an hour to babysit for her next door neighbors.  Describe the graph of this relationship.
a)
Proportional
b)
Non-proportional

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