Free Printable 13.5 Week Pre-Algebra Review

1.

Susan's checkbook has a balance of $422.05 on April 1. On April 5, she wrote a check for $106.30 to the auto repair shop. On April 7, she wrote a check in the amount of $310.00 for rent. On April 9, her dad sent her $95.00 to deposit into her account. What is the balance of Susan's account after this deposit?

a)

$100.75

b)

$743.35

c)

$933.35

d)

$89.25

2.

Kali developed her own website to advertise her babysitting business. In June she had 5,234 people visit her site. In July she had a 12 percent decrease in visitors. Approximately how many people visited Kali's website in July?

a)

5,862

b)

4,605

c)

5,222

d)

4,673

3.

Cole needs to buy a new pair of sneakers for $49.56. If the sales tax is 6.5%, how much sales tax will Cole pay on his new sneakers?

a)

$3.22

b)

$32.21

c)

$52.78

d)

$322.14

4.

If a sweater costs $40.00 before the sale and $35.00 after the sale, what was the percent of decrease?

a)

5%

b)

12.5%

c)

40%

d)

87.5%

5.

The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?

a)

$12.50

b)

$71.30

c)

$9.30

d)

$52.70

6.

Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount, not including tax?

a)

$12.50

b)

$25.00

c)

$37.50

d)

$45.75

7.

John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?

a)

75%

b)

45%

c)

30%

d)

25%

8.

If the principle is $4,000 and the rate of interest is 8% (simple interest), what is the amount of interest after one year?

a)

$320

b)

$5,000

c)

$4,320

d)

$3,200

9.

Ron needed to buy a new jacket for his upcoming ski trip. The ticket price of the jacket was $199.00. After the sales tax was added, the final cost was $208.95. What percent sales tax did Ron pay on his jacket?

a)

10%

b)

20%

c)

4%

d)

5%

10.

Teachers were told that next year they would receive a percent increase in their salary. Mrs. Bennett is making $32,000 a year and will receive $2,550.00 more next year. What is the percent increase? Round your answer to the nearest percent.

a)

7%

b)

9%

c)

8%

d)

94%

11.

Kylie's Surf Shop lost sales due to a rainy month. In May, the sales were at $56,500.00. In June, the sales were at $56,387.00. What is the percent decreases for sales at Kylie's Surf Shop?

a)

2%

b)

0.002%

c)

0.02%

d)

0.2%

12.

Susan wants to buy a new computer that costs $500. She has already saved 25% of the money. How much additional money does Susan need to save to have enough money to buy her computer?

a)

$150

b)

$350

c)

$375

d)

$125

13.

Tessa takes her friends out to lunch and the total cost of the meal is $120.30. The restaurant then added the 20% tip to the cost of the meal. How much money was added for the tip?

a)

$24.06

b)

$144.36

c)

$6.02

d)

$12.03

14.

John needs a computer for his summer class. The computer costs $385 but since he is still in school, he gets a 30% discount. What is the total amount he will spend on this computer?

a)

$500.50

b)

$269.50

c)

$115.50

d)

$30.50

15.

Sally's department store just had a huge sale and now needs to increase the price of all retail by 12%. What will be the price of this shirt after the markup?

a)

$35.84

b)

$3.84

c)

$0.38

d)

$32.38

16.

Sally bought a sweater for $24.99 with a 25% discount. What is the price of the sweater after the discount?

a)

$31.24

b)

$99.26

c)

$6.25

d)

$18.74

17.

Ashley borrows $5,200 to purchase a car. If the loan has a 3.25% interest rate over 4 years, how much total money does Ashley owe?

a)

$676

b)

$4,524

c)

$5,876

d)

$6,760

18.

You want to purchase a book that costs $12.99. If there is a 5.5% sales tax, what will the total cost of the book be with tax?

a)

$13.70

b)

$0.71

c)

$7.14

d)

$13.77

19.

A video game was $60 at Target in December. Now its costs $45. What was the percent decrease in price?

a)

15%

b)

30%

c)

25%

d)

50%

20.

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%

21.

Orrin only had $541.06 in his checking account, and a check that he wrote to his landlord for $560.00 was just deposited by the landlord. What is the new balance in his Orrin's account?

a)

$18.94

b)

-$18.94

c)

$1,101.06

d)

-$1,101.06

22.

Mr. Fry’s checking account has a balance of $452.87. He made two deposits and three withdrawals as shown. What is the balance in Mr. Fry’s account on October 20?

a)

$310.83

b)

$418.83

c)

$486.91

d)

$897.91

23.

Sam received $125 for his birthday. He spent $85 at the store and put the rest in the bank. What percent of his birthday money did he spend at the store?

a)

85%

b)

32%

c)

68%

d)

125%

24.

On the written portion of her driving test, Emily answered 84% of the questions correctly. If Emily answered 42 questions correctly, how many questions were on the driving test?

a)

84%

b)

35

c)

50

d)

42

25.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

26.

Ann puts $300 in a bank account earning 4% interest. How much will she earn in interest in 1 year?

a)

4

b)

8

c)

12

d)

16

27.

Sam borrowed $4,500 for 2 years and had to pay $630 simple interest at the end of that time. What rate of interest did he pay?

a)

6%

b)

7%

c)

8%

d)

9%

28.

Christian opened a savings account with $3250. His account will earn 5.2% simple interest. How much money will be in his account after 6 years?

a)

$4,264.00

b)

$1,014.00

c)

$1,100.00

d)

$4,400.00

29.

Use C = 2πr
Find C, when π = 3.14 and r = 9 in

a)

28.26in

b)

0.35 in

c)

2.87 in

d)

56.52 in

30.

A Chicago Cubs baseball cap costs $30. Michael has a coupon that will save him 30% of the price. How much money will Michael pay for the cap?

a)

$9.00

b)

$22.00

c)

$21.36

d)

$21.00

31.

You buy a pair of Jordan's for $249.99 and pay 6.5% sales tax. What is the total amount you will pay for the shoes? (round to the nearest penny)

a)

$16.24

b)

$266.00

c)

$266.24

d)

$233.74

32.

John needs a new computer. The computer he wants is $349. The store is planning a 25% off sale next month. What will he end up spending, before tax, if he waits for the computer to go on sale? (round to the nearest penny)

a)

$87.25

b)

$261.75

c)

$436.25

d)

$104.70

33.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

2.5 cups milk

b)

1.75 cups milk

c)

2 cups flour

d)

2.25 cups milk

34.

What was the balance of the account at the end of the day on 7/24?

a)

4720.33

b)

4320.03

c)

5091.15

d)

4500.75

35.

What is the balance on 6/25?

a)

1177.80

b)

1000.00

c)

1157.80

d)

320.55

36.

What is the balance at the end of 8/30?

4 lines

37.

Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent change?

a)

24%

b)

20%

c)

11%

d)

50%

38.

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?

a)

35%

b)

25%

c)

30%

d)

20%

39.

Gas prices decreased in the past month from $3.89 a gallon to $2.99 a gallon. What was the percent decrease in gas prices?

a)

50%

b)

23%

c)

15%

40.

The population of your town increased within the past 10 years, from approximately 82,000 people to 87,000. What was the percent increase in population?

a)

10%

b)

5%

c)

50%

d)

6%

41.

At McDonald’s a McChicken cost $1.49. Meals tax is 5%. What is the total cost?

a)

$1.54

b)

$1.65

c)

$1.56

d)

$1.42

42.

Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

a)

25%

b)

18%

c)

20%

d)

50%

43.

Snow fell in Monroe 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 Monroe on that day?

a)

1/8

b)

3/10

c)

5/8

d)

7/8

44.

At the farmers' market, Trent bought 1/2 of a bag of Red Delicious apples and 5/12 of a bag of Gala apples. How many more bags of Red Delicious apples did Trent purchase?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

45.

Tessa takes her friends out to lunch and the total cost of the meal is $120.30. The restaurant then added the 20% tip to the cost of the meal. How much money was added for the tip?

a)

$24.06

b)

$144.36

c)

$12.03

d)

$6.02

46.

What is the value when x = 2 and y = 6?

\frac{3x}{y}

a)

3

b)

6

c)

1

d)

2

47.

What is the value when a = 5 and b = 9?

\frac{3a-4b}{a}

a)

-1.4

b)

10.2

c)

-4.2

d)

1.4

48.

Simplify by combining like terms:

5b + 3a + 4 - 5a

a)

8a + 5b + 4

b)

-2a + 5b + 4

c)

5b - 2a + 4

d)

3ab + 4

49.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides then divide both sides by 5

b)

Add 6 to both sides then multiply both sides by 5

c)

Multiply both sides by 5 then subtract 6 from both sides

d)

Divide both sides by 5 then subtract 6 from both sides

50.

Which of the following is equivalent to

8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

51.

Error analysis: Which is the first error in the problem.

a)

Line 1

b)

Line 2

c)

Line 5

d)

Line 7

52.

Expand using the distributive property

-2(3x + 4y + 1)

a)

-6x + 8y + 2

b)

-6x - 8y + 2

c)

-6x - 8y - 1

d)

-6x - 8y - 2

53.

What is the value when x = 4 and y = 6?

\left(x^2+y^2\right)\div2

a)

36

b)

22

c)

26

d)

14

54.

If w = -3 and v = -6, what is the value of

-w-\left(-v\right)

?

a)

-9

b)

-3

c)

3

d)

-18

55.

What is the value if x = 6 and y = 2?

\left(x+y\right)-\left(x-y\right)

a)

0

b)

10

c)

4

d)

12

56.

What is the value of the expressions when a = 3, b = -4 and c = 8?

\frac{1}{7}\left[\frac{16}{b}+c\left(a-\sqrt{25}\right)^2\right]

(a)

57.

What is the value when n = 3 and m = -2?

n^2\left(n-m^2\right)

a)

-6

b)

9

c)

63

d)

-9

58.

What is the value when x = 2 and y = 6?

\frac{3x}{y}

a)

3

b)

6

c)

1

d)

2

59.

What is the value when x = -2 and y = -5?

-\left(x+y\right)

a)

3

b)

-7

c)

7

d)

-3

60.

What is the value when a = 5 and b = 9?

\frac{3a-4b}{a}

a)

-1.4

b)

10.2

c)

-4.2

d)

1.4

61.

If p = 1, r = 2 and s = 4, what is the value of

p+\left(rs\right)+\left(\left|-r\right|-s\right)

a)

11

b)

10

c)

3

d)

7

62.

What is the value when x = -4 and y = 3?

\frac{xy}{x-y}

a)

$-\frac{7}{12}$

b)

$-1\ \frac{5}{7}$

c)

$1\ \frac{5}{7}$

d)

$\frac{7}{12}$

63.

What is the value if x = 5?

4x^2-x

a)

123

b)

35

c)

395

d)

95

64.

What is the value of $2\left(5-a\right)^2+7a$ when a = 2?

a)

16

b)

20

c)

32

d)

50

65.

What is the value of $x^3+x^2+x$ when x = 3?

a)

9

b)

18

c)

21

d)

39

66.

What is the value of the following when v = 2?

$5\left(v-10\right)-7$

a)

-47

b)

-7

c)

7

d)

47

67.

What is the value of $3\left(x^2-4x\right)$ when x = 5?

a)

5

b)

15

c)

30

d)

55

68.

What is the value of the expression $5\left(a+b\right)-3\left(b+c\right)$ if a = 4, b = 3, and c = 2?

a)

20

b)

18

c)

14

d)

10

69.

Which expression has a value of 27 when n equals 2?

a)

$n+\left(4^3\div8\right)$

b)

$n+\left(4\div8\right)^3$

c)

$\left(n+4\right)^3\div8$

d)

$\left(n+4^3\right)\div8$

70.

The area (A) of a trapezoid can be found using the formula $A=\frac{1}{2}h\left(b_1+b_2\right)$ . What is the area of a trapezoid if $b_1=8$ centimeters, $b_2=12$ centimeters and h = 6 centimeters?

a)

32 square centimeters

b)

48 square centimeters

c)

54 square centimeters

d)

60 square centimeters

71.

$3^b+3$ What is the value of the following when b = 2?

a)

9

b)

12

c)

27

d)

36

72.

WHat is the value of $\left(n-2\right)^2+n-1$ when n = 4?

a)

7

b)

9

c)

15

d)

17

73.

$\frac{x}{4}-3$ If x = 8, what is the value of this expression?

a)

-2.5

b)

-1

c)

1

d)

2.5

74.

What is the value of $2\left(c+5\right)+2c^2$ when c = -1.2?

a)

19.12

b)

13.36

c)

10.48

d)

5.48

75.

^–11b − 13b + 5 = ^–19

(a)

76.

7t − 4t + 3t = 18

(a)

77.

$2=\frac{t+11}{-1}$

(a)

78.

$-1=\frac{p-6}{-3}$

(a)

79.

7(4x + 3) + 5 = -58

(a)

80.

2x + 3(5x - 7) = 47

(a)

81.

$\frac{2x-3}{4}=9$

(a)

82.

$7\left(1-y\right)=-3\left(y-2\right)$

(a)

83.

$Simplify\ \ 5x\ +\ 3-2x+1$

(a)

84.

$-11\ +3\left(b+5\right)\ =7$

(a)

85.

$-2\left(4x+3\right)\ -\left(x-7\right)=46$

(a)

86.

$23-2\left(5a+9\right)\ =5\left(2a-11\right)$

(a)

87.

$\frac{10}{a-6}=\frac{5}{6}$

(a)

88.

$\frac{x}{8}=\frac{x-1}{10}$

(a)

89.

$\frac{a-9}{6}=\frac{a+7}{3}$

(a)

90.

$3m-\left(7m+12\right)\ =\ 2\left(m-3\right)\$

(a)

91.

$9-5k=12-\left(6k+7\right)$

(a)

92.

$9y-4\left(y+1\right)=31$

(a)

93.

$\frac{7}{x-8}=\frac{3}{x}$

(a)

94.

$-5\left(6n+15\right)+2=-43$

(a)

95.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

96.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

97.

$x+2+6=8$

a)

0

b)

14

c)

8

d)

4

98.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

99.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

100.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

101.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

102.

3y + 6 + 4y - 7 = -8

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

103.

-2x - 7 + 3x = 10

a)

x=-2

b)

x=3

c)

x=10

d)

x=17

104.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

105.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

106.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

107.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

108.

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

a)

4

b)

3

c)

2

d)

1

109.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

110.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

111.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

112.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

113.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

114.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

115.

5x+1=2x-5

a)

x=-2

b)

x=-6

c)

x=3

d)

x=.5

116.

2x-1=3x+8

a)

x=7

b)

x=-9

c)

x=5

d)

x=3

117.

4x+9=-2x-15

a)

x=-4

b)

x=-24

c)

x=-6

d)

x=1

118.

4a-2=3a-7

a)

a=-9

b)

a=-2

c)

a=7

d)

a=-5

119.

1x-6=2x+3

a)

x=-9

b)

x=3

c)

x=9

d)

x=2

120.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

121.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

122.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

123.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

124.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

125.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

126.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

127.

-49 - x = -8x + 70

a)

15

b)

17

c)

14

d)

19

128.

-7x - 36 = 20 -3x

a)

-12

b)

-14

c)

15

d)

8

129.

-55 + 4x = 80 + 9x

a)

-27

b)

-21

c)

-25

d)

-20

130.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

131.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

132.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

133.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

134.

6z = 49 - z

a)

49

b)

-7

c)

6

d)

7

13.5 Week Pre-Algebra Review

Total questions: 134

Worksheet time: 7hrs 0mins

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