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Pre-Algebra: 1st Semester Final Exam Review #2

Total questions: 129

Worksheet time: 8hrs 55mins

Name
Class
Date
1.

6 + y = -8

a)

14

b)

-14

c)

-2

d)

-3

2.

–13c = –52

a)

-4.5

b)

676

c)

4

d)

-676

3.

–24 – a = –15

a)

9

b)

-39

c)

39

d)

-9

4.

12 – 3x = 6

a)

6

b)

-6

c)

2

d)

-2

5.

5c – 15 = 2c + 6

a)

7

b)

-3

6.

3 (2x + 3) = 2 (3x + 4)

a)

6=6 infinite solutions

b)

18≠9 no solution

c)

9 ≠ 8 no solution

d)

x= 6 one solution

7.

4 (x + 4) = 2 (2x +8)

a)

8 ≠ 10 no solution

b)

x = 16

c)

4=4 infinite solutions

d)

16=16 infinite solutions

8.

Translate into an equation:

One less than 4 times a number is 11

a)

1-4n=11

b)

4n-11=1

c)

1-11=4n

d)

4n-1=11

9.

Translate into an equation:

Twice a number decreased by 5 is 7 more than the number.

a)

5 - 2n = 7 + n

b)

2n - 5 = 7 + n

c)

5 - 2n = n +7

10.

Solve: 7x – 4y = 34

for y when x = 2

a)

x= 5

b)

x = -5

c)

y=5

d)

y=-5

11.

Solve: ¾x + 3y = 12

for x when y = 3

a)

y= 4

b)

x=6

c)

x=4

d)

y= 12

12.

64 ÷ 4³ + 21

a)

22

b)

25

c)

24

13.

43 – (9² + 16)

a)

9

b)

-54

c)

-9

d)

-43

14.

Solve the inequality: 12 - 5x > 37

a)

x > -5

b)

x < -5

c)

x ≤ -5

d)

x ≥ -5

15.

Simplify the following expression: ⅜ - ¾ + ⅝

a)

¼

b)

½

c)

⅛

d)

⅘

16.

350 ÷ 0

a)

zero

b)

350

c)

undefined

d)

1

17.

1) Sheena wants to buy a new calculator for $180. It is on sale for 15% off. How much is the discount and what is the price?

a)

27; 153

b)

153; 153

c)

27; 120

d)

27; 152

18.

1) Mr. Maltese ate the first 68 pieces of sushi in 12 minutes. If there are 24 pieces left, how long will it take him to eat the remaining pieces?

a)

5 min

b)

4.25 min

c)

4.23 min

d)

4.24 min

19.

A deli offers the special described below:


Buy one sub sandwich for 6.98 and get the second half off!


Customers must pay 5% sales tax on all sandwiches. What is the cost, including tax, of 2 sub sandwiches?

a)

$10.99

b)

$7.33

c)

$14.66

d)

$10.47

20.

•In Mrs. Williamson’s Pre-Algebra class there are 8 boys and 12 girls. What is the ratio of boys to girls?

a)

2 to 3

b)

3 to 2

c)

3 to 5

d)

5 to 3

21.

Gas went from $1.89 a gallon to $2.89 a gallon. What is the percent increase in price?

a)

65%

b)

153%

c)

15.2%

d)

53%

22.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
23.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
24.
How would 0.333333 be classified?
a)
rational and real 
b)
real and whole
c)
only integer 
d)
only irrational
25.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
26.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
27.
Tony is 3 years less than twice Joan's age.  Tony is 27 years old.  How old is Joan?
a)
11
b)
12
c)
15
d)
24
28.
4 times a number increased by 5 is the same as 3 times the difference of a number and 2.  Which of the following equations would find the number?
a)
4n + 5 = 3n - 2
b)
4n + 5 = 3(n - 2)
c)
4n+5 = 3(n + 2)
d)
4n + 5 = 3 - 2n
29.
Write the decimal as a percent
3.1
a)
31%
b)
310%
c)
.31%
d)
3100%
30.
Change this decimal to a percent.
0.528
a)
528%
b)
52.8%
c)
5.28%
d)
52%
31.
Fraction to a Percent
3/8
a)
37.5%
b)
3.75%
c)
.375%
32.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
33.
A TV that normally cost $800 is on sale for 33% off.  There is a 6% sales tax on the purchase.  What is the final cost of the TV?
a)
$536.00
b)
$568.16
c)
$279.84
d)
$321.60
34.
The number of students in the school went from 1028 down to 755.  What is the percent decrease?
a)
26%
b)
27%
c)
36%
d)
136%
35.
Doritos $4.39 for 11.5 oz. 
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.
a)
Doritos
b)
Cheetos
36.
Dayonna bought 8 apples at a cost of $5.20. What is the unit rate?
a)
$6.50
b)
$1.53
c)
$0.65
37.
A photographer can take 12 pictures in 5 minutes.  How long will it take him to take 132 pictures?
a)
50 minutes
b)
55 minutes
c)
60 minutes
d)
65 minutes
38.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
8
b)
15
c)
40
d)
29
39.
a)
8
b)
9
c)
72
d)
12
40.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
41.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
42.
Identify the property shown by the statement:
5 + (-7) = (-7) + 5
a)
Commutative of Multiplication
b)
Commutative of Addition
c)
Associative of Addition
d)
Identity of Addition
43.
Write an algebraic expression:  the quotient of a variable and 6 more than 4
a)
6g + 4
b)
4 - 6g
c)
g/6 - 4
d)
g/6 + 4
44.
Every whole number is a real number.
a)
True 
b)
False
45.
Every whole number is a natural number.
a)
True
b)
False
46.
Some rational numbers are irrational numbers.
a)
True
b)
False
47.
Solve for x 
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
48.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
49.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
50.
Solve the following:
-2 x (3 + 8 ÷ 4)2
a)
-16
b)
1.375
c)
4
d)
-50
51.
Find and explain the error.    
                  5 - 3 + 2
    =    5 - 5
=       0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
52.

2 + [(20 - 13) x 5] ÷ (4 + 3)

a)

5

b)

6

c)

7

d)

8

53.
What is 19% of 50?
a)
9.5
b)
10
c)
15
d)
11
54.
75% of what number is 48?
a)
48
b)
100
c)
64
d)
75
55.
120% of what number is 72?
a)
120
b)
60
c)
75
d)
100
56.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
57.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
58.
(-2)(-3)(-4)
a)
20
b)
-20
c)
24
d)
-24
59.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
60.
Simplify the following:
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
61.
Solve 1(-7 + 2 (3+2) - 5)2
a)
9
b)
5
c)
4
d)
6
62.
Simplify the expression.
-1 + 4n + 8 + 6n
a)
10m + 9
b)
10n + 7
c)
10
d)
3n
63.
Simplify the expression.
13x - 4y + 2x - y + 3
a)
15x - 4y - y + 3
b)
13x - 5y + 2x + 3
c)
15y - 5x - 3
d)
15x - 5y + 3
64.

8-7n<-20

a)

n>4

b)

n<4

c)

n>-4

65.

Solve 2(x+3) >-16

a)

x >-11

b)

x < -11

c)

x> 11

66.

When solving an inequality, you should flip the sign when multiplying or dividing by a negative number.

a)

agree

b)

disagree

67.

Match the graph to the correct inequality

a)

x > 5

b)

x < 5

c)

x < 5

68.

Match the graph to the correct inequality.

a)

x< 8

b)

x < 5

c)

x < 5

d)

x > 5

69.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

70.
2x + 6 ≥ -8
a)
x ≥ -7
b)
x ≤ -7
c)
x ≥ -10 
d)
x ≤ -10
71.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
72.
a)
14
b)
7
c)
2
d)
112
73.
What percent of 50 is 20?
a)
40%
b)
25%
c)
2.5%
d)
4%
74.

Which of the following is an example of a unit rate?

a)

16 miles / 6 days

b)

15 words / 30 seconds

c)

$3.18 / a slice of pizza

d)

$15.82 / two movie tickets

75.
Convert to decimal: 8/9
a)
0.89
b)
0.8
c)
0.89898...
d)
0.8888....
76.
Johnny takes his family to dinner and their bill is $110. He wants to leave a 20% tip. After including the 7% tax, what was the total amount he paid.
a)
$123.20
b)
$98.50
c)
$137
d)
$139.70
77.

Solve.

a)

-2

b)

2

c)

-0.2

d)

0.2

78.

Solve.

a)

-2

b)

30

c)

58

d)

2

79.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
80.
7 + a⁄3 = 5
a)
a= -2
b)
a= -6
c)
a= 3
d)
a= 15
81.
1⁄2 × 3 ⁄4 =
a)
3⁄8
b)
3⁄4
c)
1⁄2
d)
1⁄4
82.
Which of the following is equivalent to 8(5f - 7) + 3f ?
a)
43f - 7
b)
-13f
c)
43f - 56
d)
40f -7 + 3f
83.
4/9  ÷  1/2
a)
8/9
b)
5/11
c)
6/10
d)
4/18
84.
Add the fractions:
1/3 + 1/5 =
a)
8/15
b)
2/5
c)
1/2
d)
1/3
85.
Change .02 to a percent
a)
.02%
b)
20%
c)
2%
d)
200%
86.
.017
a)
17/100
b)
17/1000
c)
17/10,000
d)
17/10
87.

Solve this inequality

a)

x<−2.5x<-2.5

b)

x<10x<10

c)

x>−10x>-10

d)

x>5.5x>5.5

88.

Add 4 3/5 + 7 4/5 and leave your answer as a mixed number.

a)

11 6/5

b)

11 7/5

c)

12 2/5

89.
Add 7 1/4 +  9 2/5.  Leave your answer as simplified mixed number.
a)
16  13/20
b)
16  3/9
c)
16  1/3
90.
Multiply  3 2/5 x 2 3/8.  Leave your answer in simplest form. 
a)
323/40
b)
6  6/40
c)
6  3/20
91.
Divide 7/8 by 9/2.  Leave your answer in simplest form.
a)
7/36
b)
63/16
c)
14/72
92.
Divide 1 1/5  by 2 2/3.  Leave your answer in simplest form.
a)
2  2/6
b)
9/20
c)
18/40
d)
16/5
93.
If you lose 3 1/2  pounds the first week of your diet and 2 3/4 pounds the second week, how many pounds do you still need to lose to reach your goal of losing 15 pounds?  Leave your answer as a mixed number.
a)
10  4/6
b)
8  3/4
c)
10  2/3
94.

Evaluate:
 3−(z+x)3-\left(z+x\right)  ; use x=2, z=-3

a)

4

b)

1

c)

8

d)

-2

95.

Translate the following into an algebraic expression:

12 more points than a number (p) times 8

a)

8p - 12

b)

12 +8/p

c)

8 + 12p

d)

12 + 8p

96.

 1525=18x\frac{15}{25}=\frac{18}{x}  

a)

x=28

b)

x=10

c)

x=30

d)

x=11

97.

Solve for x

a)

x = 19.6

b)

x = 5/98

c)

x = 101/5

98.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
99.

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

a)

3.6

b)

2.5

c)

2.4

d)

.42

100.

The scale of a map says that 6 cm represents 15 km.

What is the actual number of kilometers that is represented by 15 cm on the map?

a)

37.5

b)

90

c)

225

d)

20

101.
Find missing side
a)
5
b)
7
c)
9
d)
11
102.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
103.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
104.
 Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
4
d)
C.O.P.
105.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
106.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
107.
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
108.
Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards
a)
1372
b)
5
c)
14
d)
7
109.

A large American flag measures 225 feet wide. In an advertisement for renting this flag, the image of the flag is 4 inches wide. What is the scale factor?

a)

1: 675

b)

1:56.25

c)

1: 65

110.

The actual distance between two house is 5 meters. On a map the distance is 10 cm. What is the scale factor?

a)

1:2

b)

1:5

c)

1:50

111.

A doghouse is 3 feet tall. In an advertisement, the doghouse is 0.5 inches tall. What is the scale factor?

a)

1:72

b)

1:6

c)

1:36

112.
Mary lost 30 pounds.  Before her diet she weighed 180 pounds.  What is the percent of change?
a)
17% Decrease
b)
18% Decrease
c)
19% Decrease
d)
20% Decrease
113.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
114.
Find the percent change.
Original amount:  16
New amount: 11
a)
5%
b)
31%
c)
.3%
d)
56%
115.

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$800

c)

$80,000

d)

$16

116.

Find the simple interest earned when the principal is $500 at a rate of 10% held in the bank for 8 months.

a)

$33.50

b)

$40,000

c)

$50

d)

$400

117.
Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?
a)
$23,285.05
b)
$3,285.05
c)
$2,385
d)
$32,285
118.
You invested $1,900 at 4% interest compounded annually for 3 years.  How much interest did you earn in 3 years?
a)
$2,372.40
b)
$237.24
c)
$2,137.24
d)
$3,197.60
119.

You take out a loan for $175,000. Which option will cost you less?

A) Simple Interest rate of 4.17% over 4 years

B) Compound Interest rate of 3.5% over 4 years

a)

Option A

b)

Option B

c)

they are both equal

120.

You deposit $2,500 in a savings account.

What is the difference in the amount of interest that will be paid in each situation?

Option A) Interest rate of 8.25% simple interest for 2 years

Option B) Interest rate of 6.5% compounded annually for 2 years

a)

$769.40

b)

$335.56

c)

$76.94

d)

$68.52

121.
Find the total amount in the account to the nearest cent if the interest is compounded annually. 
$2750 at 8% for 2 years
a)
$220
b)
$440
c)
$660
122.
You know 1000 mg = 1 g.  Convert 2.5 grams into milligrams.
a)
25 mg
b)
25,000 mg
c)
250 mg
d)
2500 mg
123.

Convert 62 miles/hour to feet/second

a)

5,456 feet/second

b)

.003 feet/second

c)

90.9 feet/second

d)

909 feet/second

124.

Convert 500,000 millimeters/month to kilometers/year

a)

.6 kilometers/year

b)

.06 kilometers/year

c)

6 kilometers/year

d)

60 kilometers/year

125.

Which conversion fraction would be needed?

a)
b)
126.

Which conversion factor would be needed?

a)
b)
c)
d)
127.
Convert 40 kilograms to grams
a)
400
b)
4000
c)
40000
d)
40
128.

Convert 7 inches to millimeters

a)

1.78

b)

17.78 millimeters

c)

27.56 millimeters

d)

177.8 millimeters

129.

Convert 19 grams to kilograms.

a)

0.0019 kilograms

b)

0.019 kilograms

c)

190 kilograms

d)

19000 kilograms

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