Free Printable Units 1-7 Review

1.

$\left(8\ +\ 2\right)\ +\ 14\ \div\ 7$ = (a)

2.

Which expression is correct for the counters? (Red is negative and Yellow is positive.)

a)

-4 + 7

b)

4 + 7

c)

4 + -7

d)

4 - (-7)

3.

Which expression is correct for the number line?

a)

4 - (-6)

b)

4 + (-2)

c)

4 + 6

d)

4 + (-6)

4.

The elevation in Dayton, Ohio is 738 feet above sea level. Which integer best describes the elevation?

a)

738

b)

-738

5.

What is the absolute value of the number on the number line?

a)

-3

b)

3

c)

none of these

6.

$12\ +\ \left(-5\ \right)$ = (a)

7.

$-8\cdot\left(-10\right)$ = (a)

8.

$\frac{-48}{-6}$ = (a)

9.

$-3\ -\ 8$ = (a)

10.

What is the value of $\left|-8\right|$ ?

a)

8

b)

-8

c)

- $\left|-8\right|$

d)

16

11.

What is the value of $\left|5\right|\ +\ \left|-2\right|$ ?

a)

-7

b)

-3

c)

3

d)

7

12.

$-15\ -\ \left(-9\right)$ = (a)

13.

Sally has $24 in her purse. She pays $8 to have her car washed. Which expressions represents this situation? Select ALL that apply.

a)

$24-8$

b)

$-24\ +\ 8$

c)

$24\ +\ \left(-8\right)$

d)

$24\ +\ 8$

e)

$24-\left(-8\right)$

14.

Simplify $x^5\cdot x^5$

a)

$x^{10}$

b)

$x^{25}$

c)

$x^0$

d)

$x^1$

15.

Simplify $\left(x^4\right)^5$

a)

$x^{20}$

b)

$x^9$

c)

$x^1$

d)

$x^{-1}$

16.

Simplify $\frac{8^9}{8^6}$

a)

$8^3$

b)

$8^{15}$

c)

$8^{54}$

d)

$8^{-3}$

17.

Rewrite using only positive exponents.

\frac{a^{-2}}{b^{-5}}

a)

$\frac{a^2}{b^5}$

b)

$\frac{b^5}{a^2}$

c)

$\frac{b^2}{a^5}$

d)

$-\frac{b^5}{a^2}$

18.

Classify -25. Check ALL that apply. Use your Venn Diagram.

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

19.

Classify $\frac{4}{5}$ . Check ALL that apply. Use your Venn Diagram.

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

20.

What is $\frac{12}{20}$ in simplest form?

a)

$\frac{6}{10}$

b)

$\frac{3}{5}$

c)

$\frac{1}{2}$

d)

cannot be simplified

21.

What is $5\ \frac{2}{3}$ as an improper fraction? (Around the world)

a)

$\frac{10}{3}$

b)

$\frac{30}{3}$

c)

$\frac{15}{3}$

d)

$\frac{17}{3}$

22.

Is $\frac{5}{9}$ a terminating or repeating decimal?

a)

Terminating Decimal

b)

Repeating Decimal

23.

Write $\frac{7}{8}$ as a decimal. (Divide)

a)

7.8

b)

0.875

c)

8.75

d)

0.78

24.

Write 0.8 as a fraction in simplest form. (Get excited, upside down and simplify.)

a)

$\frac{8}{10}$

b)

$\frac{4}{5}$

c)

$\frac{8}{100}$

d)

$\frac{2}{5}$

25.

Compare $\frac{7}{9}$ _____ $\frac{4}{7}$

a)

$<$

b)

$>$

c)

$=$

26.

Compare $-\frac{5}{8}$ _____ $-\frac{3}{5}$

a)

$<$

b)

$>$

c)

$=$

27.

Compare 0.13 _____ 0.1

a)

$<$

b)

$>$

c)

$=$

28.

Add $5\ \frac{2}{3}\ +\ 3\ \frac{1}{6}$ . Simplify your answer.

(Get a common denominator, rename, add, and simplify.)

a)

$8\ \frac{5}{6}$

b)

$8\ \frac{10}{12}$

c)

$8\ \frac{4}{15}$

d)

$8\ \frac{3}{9}$

29.

Subtract $6\ \frac{3}{10}\ -\ 5\ \frac{7}{10}$ . Simplify your answer.

(Borrow, subtract, and simplify.)

a)

$1\ \frac{4}{10}$

b)

$1\ \frac{2}{5}$

c)

$\frac{6}{10}$

d)

$\frac{3}{5}$

30.

Multiply $2\ \frac{1}{2}\ \times\ 4\ \frac{2}{5}$ . Simplify your answer.

(Change to improper fraction, multiply across, and simplify.)

a)

$\frac{110}{10}$

b)

$8\ \frac{2}{10}$

c)

$\frac{22}{2}$

d)

11

31.

Divide $2\ \frac{1}{3}\ \div\ \frac{2}{3}$ . Simplify your answer.

(Change to improper fractions, KFC, multiply across, and simplify.)

a)

$3\ \frac{3}{6}$

b)

$\frac{7}{2}$

c)

$3\ \frac{1}{2}$

d)

$1\ \frac{5}{9}$

32.

Classify 100. Select ALL that apply. Use your Venn Diagram.

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

e)

Natural Number

33.

Name the property shown:

20 x 1 = 20

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Distributive Property

d)

Identiy Property of Multiplication

e)

Identity Property of Addition

34.

Name the property shown:

45 + 14 = 14 + 45

a)

Associative Property of Multiplication

b)

Associative Property of Addition

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

35.

Name the property shown:

(5 + m) + n = 5 + (m + n)

a)

Associative Property of Multiplication

b)

Associative Property of Addition

c)

Commutative Property of Addition

d)

Distributive Property

36.

Use the distributive property to rewrite the exression:

3(a - 4)

a)

3a - 4

b)

a - 12

c)

3a - 12

d)

9a

37.

What is the value of $a^2+b$ when $a\ =\ 3$ and $b\ =\ 7$ ?

a)

13

b)

52

c)

16

d)

12

38.

Are the following expressions equal?

3z + 2z and 5z

a)

Yes

b)

No

39.

Find the GCF of 15gh and 35ghi.

a)

5

b)

5gh

c)

gh

d)

15gh

40.

Factor 6x + 43

a)

6(x + 43)

b)

x(6 + 43)

c)

6(x + 7)

d)

Cannot be factored.

41.

Simplify:

-7y + 4 - 7y + 1

a)

14y + 5

b)

5

c)

-14y + 5

d)

-14y - 5

42.

Add:

(6x + 8) + (-7x - 11)

a)

14x - 18

b)

-x + 3

c)

-x - 3

d)

14x + 18

43.

Subtract:

(8x + 4) - (13x + 1)

a)

-5x + 3

b)

21x + 3

c)

-5x + 5

d)

21x - 3

44.

Translate 8 more than 3 times a number into an algebraic expression.

a)

8 + 3x

b)

3x + 8

c)

8x + 3

d)

3 + 8x

45.

Solve:

9 + n = -2

a)

n = -11

b)

n = -7

c)

n = 2

d)

n = 7

46.

14 = y - 10

a)

y = -24

b)

y = -4

c)

y = 4

d)

y = 24

47.

Solve:

84 = 7d

a)

d = 8

b)

d = 12

c)

d = 77

d)

d = 91

48.

Solve:

\frac{x}{4}\ =\ -1

a)

$x\ =\ -4$

b)

$x\ =\ -\frac{1}{4}$

c)

$x\ =\ \frac{1}{4}$

d)

$x\ =\ 4$

49.

Solve:

4x\ +\ 1\ =\ -15

a)

$x\ =\ -3.5$

b)

$x\ =\ -4$

c)

$x\ =\ -12$

d)

$x\ =\ -20$

50.

Solve:

-8x + 3 = -29

a)

x = 256

b)

x = 4

c)

x = 3

d)

x = -40

51.

Solve:

4(x + 3) = 4

a)

x = -8

b)

x = -2

c)

x = 2

d)

x = 4

52.

Solve:

x + 6 < 5

a)

x < 11

b)

x > 11

c)

x < -1

d)

x > -1

53.

Solve:

\frac{y}{-2}\ \le\ 3

a)

$y\ \le\ -6$

b)

$y\ \ge\ -6$

c)

$y\ \le\ -1.5$

d)

$y\ \ge\ -1.5$

54.

Which inequality has the solution shown on the number line?

a)

x - 4 > -2

b)

x + 4 > -2

55.

Solve:

-7w < 91

a)

w > 13

b)

w > -13

c)

w < 98

d)

w > 98

56.

If the inequality symbol is >, use a(n) (a) point.

Choose from the below words

open

closed

57.

If the inequality symbol is $\le$ , use a(n) (a) point.

Choose from the below words

closed

open

58.

Which size package of pasta has the lowest unit price?

3 oz for $0.99

8 oz for $2.56

16 oz for $5.60

a)

The 3 oz package

b)

The 8 oz package

c)

The 16 oz package

59.

True or False?

1:5 and 2:20 are proportional.

a)

True

b)

False

60.

What is the value of x?

$\frac{8}{24}=\frac{x}{18}$

$x=$ (a)

Type the number only!

61.

On a test, Suzy answered the first 32 questions in 12 minutes. There are 64 questions on the test. If she continues to answer questions at the same rate, how long will it take her to finish the test?

a)

6 min

b)

12 min

c)

20 min

d)

24 min

62.

What are the coordinates for point P?

a)

(8, 0)

b)

(0, 8)

c)

(0, -8)

d)

(-8, 0)

63.

True or False:

The graph shows a proportional relationship.

a)

True

b)

False

64.

Determine if the chart is showing a proportional relationship. If it is, then find the constant of proportionality (k).

a)

Yes, k = 7

b)

Yes, k = 0.14

c)

Yes, k = 0.7

d)

The chart does not show a proportional relationship.

65.

The graph shows a proportional relationship. What is the constant of proportionality (k)?

a)

k = 12

b)

k = 24

c)

k = 6

d)

k = 18

66.

Determine if the table is showing a proportional relationship. If it is, find the constant of proportionalilty (k).

a)

Yes, k = 4

b)

Yes, k = 6

c)

Yes, k = 0.16

d)

The chart does not show a proportional relationship.

67.

What is 42% in decimal form?

a)

0.42

b)

4.2

c)

0.042

d)

2.00

68.

What is 42% as a fraction in simplest form?

a)

$\frac{42}{100}$

b)

$\frac{21}{50}$

c)

$\frac{21}{25}$

d)

$\frac{42}{50}$

69.

What is 42% of 30?

a)

1,260

b)

12,600

c)

126

d)

12.6

70.

49 is what percent of 700?

a)

7%

b)

343%

c)

34.3%

d)

70%

71.

35% of what number is 7?

a)

2,250

b)

24.5

c)

20

d)

2.45

72.

Practice time was 20 minutes last year. This year, it's 60 minutes. Find the percent of change. Round to the nearest percent.

a)

2% increase

b)

200% increase

c)

67% increase

d)

20% increase

73.

Dylan's mother ordered 100 slices of pizza for his party. 75 slices were actually eaten. What was his mother's percent error?

a)

25% error

b)

33% error

c)

75% error

d)

50% error

74.

How much is the tax on a $200 chromebook if the sales tax rate is 8%?

a)

$160

b)

$16

c)

$216

d)

$360

75.

Mrs. Lewis bought $125 worth of groceries. After using coupons, she got a discount of 10%. What was the amount of discount?

a)

$12.50

b)

$1.25

c)

$125

d)

$0.13

76.

A barber charges $10 to cut a man's hair. If the man wants to give the barber a 10% tip, what is the total amount he will pay?

a)

$1.00

b)

$11.00

c)

$9.00

d)

$20.00

77.

Connor bought a fishing lure at Walmart. The lure cost $4.25. Connor paid $4.51 at the register. What is the percentage of sales tax? Round to the nearest percent.

a)

5%

b)

6%

c)

7%

d)

8%

78.

Find the simple interest earned on $2,500 at 4% for 2 years.

a)

$2,000

b)

$20,000

c)

$200,000

d)

$200

79.

What is the probability of spinning a 2 on the spinner? Write your answer as a decimal.

a)

0.25

b)

0.125

c)

0.10

d)

0.15

80.

A set of 10 cards is numbered 1 to 10. What is the P(2) as a fraction in simplest form?

a)

$\frac{2}{10}$

b)

$\frac{1}{5}$

c)

$\frac{1}{10}$

d)

$\frac{1}{20}$

81.

Tammy flipped a coin 30 times. She flipped heads 18 times and tails 12 times. What is the experimental probability of flipping heads as a fraction in simplest form?

a)

$\frac{1}{2}$

b)

$\frac{3}{5}$

c)

$\frac{18}{30}$

d)

$\frac{9}{15}$

82.

Tammy flipped a coin 30 times. She flipped heads 18 times and tails 12 times. What is the theoretical probability of flipping heads as a fraction in simplest form?

a)

$\frac{1}{2}$

b)

$\frac{3}{5}$

c)

$\frac{18}{30}$

d)

$\frac{9}{15}$

83.

Tammy flipped a coin 30 times. She flipped heads 18 times and tails 12 times. What is the best comparison between the theoretical and experimental probability of flipping heads as a fraction in simplest form?

a)

The theoretical probability is greater than the experimental probability.

b)

The theoretical probability is less than the experimental probability.

c)

The theoretical probability is equal to the experimental probability.

84.

The tree diagrams shows all possible outcomes if 2 people play rock, paper, scissors. What is the probability that the game will end in a tie (BOTH players have the same outcome)? Write your answer as a fraction in simplest form.

a)

$\frac{3}{9}$

b)

$\frac{1}{3}$

c)

$\frac{1}{6}$

d)

$\frac{2}{3}$

85.

The tree diagram shows the probability of someone making/missing two free throws. What is the probability of making both shots as a fraction in simplest form?

a)

$\frac{1}{4}$

b)

$\frac{2}{4}$

c)

$\frac{3}{4}$

d)

$\frac{1}{2}$

86.

State whether the model is a uniform probability model or a non-uniform probability model.

a)

uniform probability model

b)

non-uniform probability model

87.

How many outcomes are possible when flipping a nickel and a penny and spinning a spinner with red, blue, yellow and green sections?

a)

16

b)

8

c)

4

d)

6

88.

Which situation would be best to simulate the likelihood of a family having all three children as boys or girls?

a)

flipping a coin three times

b)

spinning a spinner with three sections

c)

rolling a die three times three times

89.

A coin is flipped and a letter is picked from the word MATH. What is P(tails and M) as a fraction in simplest form?

a)

$\frac{1}{6}$

b)

$\frac{1}{2}$

c)

$\frac{1}{8}$

d)

$\frac{1}{4}$

90.

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? Write your answer as a fraction in simplest form.

a)

$\frac{4}{36}$

b)

$\frac{5}{36}$

c)

$\frac{1}{9}$

d)

$\frac{1}{36}$

Units 1-7 Review

Total questions: 90

Worksheet time: 3hrs 0mins

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