Free Printable The Ultimate 6th Grade ACA Review

1.

What is the mode?

a)

# happening the most

b)

the average

c)

biggest - smallest

d)

the middle #

2.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

3.

A data set can have more than one median?

a)

True

b)

False

4.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

5.

The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?

a)

24

b)

36

c)

39

d)

52

6.

Find the range.
5, 15, 10, 20, 15, 10, 15

a)

5

b)

10

c)

15

d)

13

7.

Mode:
67, 74, 95, 98, 98, 99, 102

a)

90.4

b)

35

c)

92

d)

98

8.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

9.

A data set can have more than one mode

a)

True

b)

False

10.

To find the average of a set of numbers, add up all the items and divide by...

a)

2

b)

The minimum

c)

The maximum

d)

The number of items

11.

What is the definition of the range?

a)

The average

b)

The number that occurs the most

c)

The middle number

d)

The difference of the largest and smallest numbers

12.

What statement is true about the box plot?

a)

Half of the students have 0 to 6 pencils in their desks.

b)

12 is an outlier.

c)

The median number of pencils is 4.

d)

More students have 6 to 12 pencils in their desks than 0 to 2 pencils.

13.

What is the inter-quartile range (IQR)?

a)

30

b)

40

c)

75

d)

80

14.

Which statement best describes this graph?

a)

There is a peak at 47.

b)

There is a cluster around 38-40.

c)

The mode is 40.

d)

There is a gap in the data between 39-40.

15.

What is the shape of the data?

a)

symmetrical

b)

skewed right

c)

bell curve

d)

skewed left

16.

When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet, how would this be shown mathematically?

a)

250 + 80 + (-18)

b)

-250 + 80 - (- 18)

c)

250 + -( 80) + (- 18)

d)

-250 + 80 + (-18)

17.

If you run up 14 steps, fall down 12, and crawl up 22 more steps, how many steps are you from where you began?

a)

+48

b)

+24

c)

-20

d)

+22

18.

-65 + (-23) =

a)

- 88

b)

- 42

c)

+ 88

d)

+ 42

19.

Which expression represents a temperature starting in the morning at 12 degrees below zero rising 14 degrees at noon, and falling 5 degrees that night?

a)

12 + 14 + (-5)

b)

- 12 + 14 + 5

c)

12 + (-14) + (-5)

d)

- 12 + 14 + (-5)

20.

23 - 47 + 18 - (-12) =

a)

6

b)

-18

c)

56

21.

(-12) x (-10) =

a)

- 120

b)

120

22.

You were given $25 for your birthday and earned another $82 shoveling snow; however, you owed your sister $115 for the sneakers you wanted. What expression represents this?

a)

0 + 25 + 82 + 115

b)

0 + 25 + 82 + (-115)

c)

0 - 25 + 82 + 11

23.

While out on an adventure you hiked up 1,015', floated down the river 800', and climbed a rock face of 40' before cliff diving and ended up 15' below the surface of the water. How far was your fall from the cliff to your lowest point?

a)

240'

b)

270'

c)

260'

d)

215'

24.

A negative times a negative is ___________ ____________.

a)

Sometimes negative

b)

Sometimes positive

c)

Always negative

d)

Always positive

25.

What is the sum of the following expression?

-2+(-3)+4+(-6)

a)

3

b)

-7

c)

10

d)

5

26.

What is the sum of the following expression?

-2+(-3)+4+(-6)

a)

3

b)

-7

c)

10

d)

5

27.

$-35\div7=$

a)

5

b)

-6

c)

6

d)

-5

28.

$-9+62=$

a)

45

b)

53

c)

49

d)

-53

29.

$-8-10=$

a)

-18

b)

2

c)

18

d)

-2

30.

Which equation is modeled above?

a)

5+(-7)= -2

b)

5-7= 2

c)

-5+(-7)= -12

d)

5+(-7)= 2

31.

Which expression is represented on the number line?

a)

-3+(-6)

b)

3+(-6)

c)

-3+(-3)

d)

3+6

32.

What is the product of the expression below?

6(-3)(2)

a)

36

b)

5

c)

-5

d)

-36

33.

Which of the following expressions is represented on the number line above?

a)

4(-2)

b)

2(4)

c)

4(2)

d)

2(-4)

34.

Joe has 3 cards. The red cards represent negative integers and the black cards represent positive numbers. What is the total value of his cards?

a)

-16

b)

8

c)

-8

d)

16

35.

If the starting temperature of the freezer was 20 degrees and decreases 4 degrees each hour. What will the temperature be after 7 hours?

a)

8

b)

48

c)

-8

d)

-48

36.

-2 + 6 + (-3) + 2 + (-8)

a)

21

b)

5

c)

10

d)

-5

37.

Lane had five cards with the following numbers on them:

5, -2, 8, -10, 4

His score was the sum of the numbers on these five cards. What was Lane's score?

a)

-5

b)

5

c)

29

d)

-14

38.

-7 x 8 =

a)

56

b)

-56

c)

49

d)

-49

39.

22 - (-11) =

a)

-33

b)

33

c)

-11

d)

11

40.

Which statements about opposites are true?

a)

The opposite of the opposite of a number is the number itself.

b)

The opposite of a number is 1 divided by that number.

c)

The opposite of a number is always a negative number.

d)

A non-zero number and its opposite are located on opposite sides of zero on a number line.

41.

Which expression is represented by the model?

a)

6 - (-4)

b)

6 - 4

c)

6 - (-10)

d)

6 - 10

42.

Which expression is represented by the model?

a)

-1 + 6

b)

-3 x 2

c)

-2 x 3

d)

0 - (-6)

43.

Which expression is represented by the model?

a)

-7 + 0

b)

-7 + 3

c)

-7 + 7

d)

-7 + 10

44.

Which expression is represented by the model?

a)

5 x -2

b)

5 + (-2)

c)

-5 - 2

d)

5 - (-2)

45.

Which of the following expressions best represents the model?

a)

-7 - 5

b)

-7 + 5

c)

7 - 5

d)

-5 - (-7)

46.

0.48 ÷ 0.4

a)

1.2

b)

12

c)

0.12

d)

0.012

47.

4.34 ÷ 0.2

a)

217

b)

21.7

c)

43.4

d)

4340

48.

Paw Kaw bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. How much does the steak cost?

a)

$4.20

b)

$6.90

c)

$22.50

d)

$6.30

49.

ESTIMATE the answer.
49.3 ÷ 6

a)

8

b)

10

c)

2

d)

5

50.

Ryan earns $20.16 working for 3 hours. How much does he earn per hour?

a)

$60.48

b)

$6.82

c)

$6.72

d)

$6.71

51.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

52.

⁴/₉ ÷ ¹/₂

a)

⁸/₉

b)

⁵/₁₁

c)

⁶/₁₀

d)

⁴/₁₈

53.

George has 1/3 pan of brownies. He eats 1/4 of what he has. What fraction of a pan did George eat?

a)

1/7

b)

1/4

c)

1/3

d)

1/12

54.

What is 2/3 x 2/3

a)

4/9

b)

2/3

c)

4/3

d)

4/6

55.

Multiply.

a)

23/3

b)

5 3/12

c)

7 2/3

d)

92/12

56.

If I multiply a mixed number with another mixed number, which of the following will always be true?

a)

The product will always be larger than 1

b)

The product will always be smaller than 1

c)

The project will always be an even number

d)

The product will be double the size of both factors

57.

4.3 x 0.4

a)

17.2

b)

1.72

c)

16.4

d)

1.64

58.

a)

$21\ \frac{1}{3}$

b)

12

c)

$\frac{3}{64}$

d)

48

59.

a)

$\frac{4}{7}$

b)

$\frac{7}{4}$

c)

$\frac{25}{7}$

d)

$\frac{7}{25}$

60.

a)

37.76 ft

b)

2.335 ft

c)

18.80 ft

d)

4.67

61.

a)

16.1

b)

18.4

c)

31.74

d)

39.4

62.

a)

520.2 pounds

b)

1.61 pounds

c)

30.7 pounds

d)

231.7 pounds

63.

a)

$10$

b)

$9\ \frac{1}{4}$

c)

$\frac{3}{37}$

d)

$12\ \frac{1}{3}$

64.

a)

$6.41

b)

$21.50

c)

$53.94

d)

$167.40

65.

a)

15

b)

1.71

c)

21

d)

6

66.

a)

$\frac{3}{10}$

b)

$6\ \frac{2}{5}$

c)

19.2

d)

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

67.

a)

15

b)

19

c)

1.18

d)

25

68.

a)

$\frac{1}{3}$

b)

$\frac{3}{16}$

c)

3

d)

$5\ \frac{1}{3}$

69.

a)

6

b)

4 ⁴/₇

c)

⁵⁷/₉

d)

5 ¹/₂

70.

What equation represents this graph?

a)

y = 60x

b)

y = 40x

c)

y = 80x

d)

y = 20x

71.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

72.

What equation can be used to represent the relationship between the input (x) and output (y)?

a)

y = x + 4

b)

y = 3x

c)

x = y + 4

d)

x = 3y

73.

Write an equation for this situation.

a)

y=9.75x

b)

y=x + 19.25

c)

y=19.25x

d)

y=9.5x

74.

What equation represents this relationship?

a)

$y=x+80$

b)

$x=9y$

c)

$y=x\div9$

d)

$y=9x$

75.

What kind of relationship is this?

a)

Additive

b)

Multiplicative

76.

A submarine started the day at sea level and then descended at a rate of 1,200 feet per hour. The equation y = -1200x can be used to determine the depth of the submarine.

Which table contains a set of values that correspond to the equation?

a)

b)

c)

d)

77.

Which answer choice DOES NOT represent the same relationship as the others?

a)

$y=x+3$

b)

Michael is buying carnations for his date to the homecoming dance. Each carnation costs $3.

c)

d)

78.

The graph compares the number of people at a party and the number of slices of pizza ordered. Which statement is true?

a)

The number of people at the party depends on the number of pieces of pizza ordered.

b)

The number of pieces of pizza ordered depends on the number of people at the party

c)

The number of people at the party is the dependent variable.

d)

The number of pieces of pizza ordered is independent of the number of people at the party.

79.

Which equation represents the table?

a)

$y=x+1$

b)

$y=x+2$

c)

$x=y+1$

d)

$x=y+2$

80.

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

a)

b)

c)

d)

81.

Which table represents the graph?

a)

b)

c)

d)

82.

Which table represents the equation?

a)

b)

c)

d)

83.

Which list shows the independent quantities?

a)

1, 2, 3

b)

70, 80, 90

c)

1, 2, 3, 70, 80, 90

d)

70, 160, 270

84.

Which situation can be represented by the equation y = 13x ?

a)

The 13 girls on the volleyball team raise money for their fundraiser, how much did each girl raise?

b)

Dominos Pizza sells $13 more for a pizza than breadsticks.

c)

Walmart sells a waterslide for $13 less than Target.

d)

Vanessa buys x number of shirts for $13 each.

85.

Victoria ran 3 laps before Gaby joined her and they continued running laps together. What is the relationship between Victoria's laps, v, and Gaby's laps, g?

a)

The value of g is 3 more than the value of v

b)

the value of g is 3 times the value of v

c)

The value of v is 3 more than the value of g

d)

the value of v is 3 times the value of g

86.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

87.

Which answer choice does not represent the same relationship as the others?

a)

$y=3x$

b)

Michael is saving money for homecoming carnations. He already has $3, and is saving $1 each day until he has enough money.

c)

d)

88.

Which of the following is true about the dependent variable?

a)

It is found on the x-axis.

b)

It will be on the left or the top of a table.

c)

It is found on the y-axis.

d)

It is the cause.

89.

Which kind of relationship will almost never start at the point (0, 0)?

a)

Multiplicative

b)

Both Additive and Multiplicative

c)

Neither Additive nor Multiplicative

d)

Additive

90.

What is the equation?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

y = 7x

91.

The total number of markers, m, contained in p packages can be represented by the equation m = 8p. Which of the following tables best represents this situation?

a)

b)

c)

d)

92.

What is the correct equation for a multiplicative relationship?

a)

y = x + a

b)

x = y + a

c)

y = ax

d)

a/x = m

93.

Which graphs show an additive relationship?

a)

A only

b)

A & C only

c)

A & D only

d)

B & C only

94.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

95.

What equation represents this graph?

a)

y = 60x

b)

y = 40x

c)

y = 80x

d)

y = 20x

96.

Which equation matches the table?

a)

y = x + 4

b)

y = 5x

c)

y = x - 4

d)

y = x + 16

97.

What equation can be used to represent the relationship between the input (x) and output (y)?

a)

y = x + 4

b)

y = 3x

c)

x = y + 4

d)

x = 3y

98.

Write an equation for this situation.

a)

y=9.75x

b)

y=x + 19.25

c)

y=19.25x

d)

y=9.5x

99.

What equation represents this relationship?

a)

$y=x+80$

b)

$x=9y$

c)

$y=x\div9$

d)

$y=9x$

100.

What kind of relationship is this?

a)

Additive

b)

Multiplicative

101.

A submarine started the day at sea level and then descended at a rate of 1,200 feet per hour. The equation y = -1200x can be used to determine the depth of the submarine.

Which table contains a set of values that correspond to the equation?

a)

b)

c)

d)

102.

Which answer choice DOES NOT represent the same relationship as the others?

a)

$y=x+3$

b)

Michael is buying carnations for his date to the homecoming dance. Each carnation costs $3.

c)

d)

103.

The graph compares the number of people at a party and the number of slices of pizza ordered. Which statement is true?

a)

The number of people at the party depends on the number of pieces of pizza ordered.

b)

The number of pieces of pizza ordered depends on the number of people at the party

c)

The number of people at the party is the dependent variable.

d)

The number of pieces of pizza ordered is independent of the number of people at the party.

104.

Which equation represents the table?

a)

$y=x+1$

b)

$y=x+2$

c)

$x=y+1$

d)

$x=y+2$

105.

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

a)

b)

c)

d)

106.

Which table represents the graph?

a)

b)

c)

d)

107.

Which table represents the equation?

a)

b)

c)

d)

108.

Which list shows the independent quantities?

a)

1, 2, 3

b)

70, 80, 90

c)

1, 2, 3, 70, 80, 90

d)

70, 160, 270

109.

Which situation can be represented by the equation y = 13x ?

a)

The 13 girls on the volleyball team raise money for their fundraiser, how much did each girl raise?

b)

Dominos Pizza sells $13 more for a pizza than breadsticks.

c)

Walmart sells a waterslide for $13 less than Target.

d)

Vanessa buys x number of shirts for $13 each.

110.

Victoria ran 3 laps before Gaby joined her and they continued running laps together. What is the relationship between Victoria's laps, v, and Gaby's laps, g?

a)

The value of g is 3 more than the value of v

b)

the value of g is 3 times the value of v

c)

The value of v is 3 more than the value of g

d)

the value of v is 3 times the value of g

111.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

112.

Which answer choice does not represent the same relationship as the others?

a)

$y=3x$

b)

Michael is saving money for homecoming carnations. He already has $3, and is saving $1 each day until he has enough money.

c)

d)

113.

Which of the following is true about the dependent variable?

a)

It is found on the x-axis.

b)

It will be on the left or the top of a table.

c)

It is found on the y-axis.

d)

It is the cause.

114.

Which kind of relationship will almost never start at the point (0, 0)?

a)

Multiplicative

b)

Both Additive and Multiplicative

c)

Neither Additive nor Multiplicative

d)

Additive

115.

What is the equation?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

y = 7x

116.

The total number of markers, m, contained in p packages can be represented by the equation m = 8p. Which of the following tables best represents this situation?

a)

b)

c)

d)

117.

What is the correct equation for a multiplicative relationship?

a)

y = x + a

b)

x = y + a

c)

y = ax

d)

a/x = m

118.

Which graphs show an additive relationship?

a)

A only

b)

A & C only

c)

A & D only

d)

B & C only

119.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

120.

Find the prime factorization of 420

a)

2² • 3 • 5 • 7

b)

7⁷

c)

2² • 3 • 11

d)

2³ • 3 • 7

121.

What number has the prime factorization of 2³• 11?

a)

55

b)

66

c)

88

d)

99

122.

Select all of the prime numbers.

a)

1

b)

2

c)

7

d)

18

e)

21

123.

Find the prime factorization of 108

a)

2³ * 3²

b)

2² • 3³

c)

2⁵ • 3

d)

2 • 3 • 7 • 11

124.

Find the prime factorization of 60

a)

5 • 12

b)

2 • 3² • 5

c)

2² • 3 • 5

d)

2⁷

125.

Evaluate the expression above.

a)

1

b)

11

c)

-3

d)

15

126.

Evaluate the expression above.

a)

11

b)

14.5

c)

9

d)

5.5

127.

Evaluate the expression above.

a)

-70

b)

18

c)

0.25

d)

2

128.

a)

1

b)

4

c)

-7

d)

14

129.

$\left[6^2+\left(15\div3+3^2\right)\right]+3^2$

Evaluate the expression above.

a)

109

b)

29

c)

32

d)

59

130.

$21\div3+4\cdot6$

Evaluate the expression above.

a)

18

b)

31

c)

0.5

d)

168

131.

$8\times18\div4+5$

Evaluate the expression above.

a)

76

b)

16

c)

41

d)

153

132.

$2^3\times3^2=?$

a)

36

b)

72

c)

576

d)

54

133.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

134.

Is absolute value always positive?

a)

yes

b)

no

135.

Evaluate the expression.
|-2| + |-5|

a)

7

b)

-7

c)

3

d)

-3

136.

What fraction, decimal and percent does the following bar model represent?

a)

1/5 and 20% and 20

b)

.20 and 1/5 and 2%

c)

20% and .20 and 1/5

d)

20 and 1/5 and 20%

137.

$4\ \frac{2}{11}$

a)

$4.1\overline{8}$

b)

$4.1818$

c)

$4.\overline{18}$

d)

$4.\overline{81}$

138.

Convert $\frac{7}{8}$ to a decimal.

a)

0.875

b)

0.625

c)

$0.\overline{7}$

d)

0.7

139.

How many cups are in 17 pints?

a)

24 cups

b)

17 cups

c)

68 cups

d)

34 cups

140.

Jeannie is making punch for her birthday party. The recipe calls for 9 quarts of juice. How many cups of juice does she need?

a)

6 cups

b)

36 cups

c)

23 cups

d)

42 cups

141.

1 gallon = 4 quarts

If you put 5 gallons of water into a container, how many quarts of water is it?

(a)

142.

Which is the prime factorization of 168

a)

$2\times2\times2\times3\times7$

b)

$2\times3\times4\times7$

c)

$2\times2\times3\times7$

d)

$2\times2\times2\times2\times3\times7$

143.

Find the prime factorization of 81

a)

2² • 7

b)

2³ • 5 • 7

c)

4³

d)

3⁴

144.

$2+5=5+2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

145.

$3\cdot1=3$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

146.

$3\left(x+5\right)=3x+3\left(5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

147.

$\left(3+2\right)+5=3+\left(2+5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

148.

$7-3=3-7$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

149.

$3\cdot\frac{1}{3}=1$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

150.

$3\left(x+5\right)=3\cdot x+3\cdot5$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

151.

$\left(3-2\right)-5=3-\left(2-5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

152.

$2\cdot5=5\cdot2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

153.

$3\left(x+5\right)=x+3\left(5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

154.

$3+0=3$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

155.

$\left(3\cdot2\right)\cdot5=3\cdot\left(2\cdot5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

156.

$3\left(x+5\right)=3x+15$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

157.

$\left(-2\right)+\left(-3\right)=\left(-3\right)+\left(-2\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

158.

$3+\left(-3\right)=0$

a)

True because of the identity property.

b)

True because of the inverse property.

c)

False

159.

$\left(3\cdot2\right)+5=3\cdot\left(2+5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

160.

$2\div5=5\div2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

161.

$\left(8\div4\right)\div2=\left(8\div4\right)\div2$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

162.

$\left(3-2\right)+5=3-\left(2+5\right)$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

163.

$3\left(x+5\right)=3x+5$

a)

True because of the associative property.

b)

True because of the commutative property.

c)

True because of the distributive property.

d)

False

164.

$12\cdot\left(m\cdot5\right)=\left(m\cdot5\right)\cdot12$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

165.

$m+0=m$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

166.

$5\left(m+12\right)=\left(5\cdot m\right)+\left(5\cdot12\right)$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

167.

$m\cdot1=m$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

168.

$m+\left(-m\right)=0$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

169.

$5\times\frac{1}{5}=1$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

170.

$m\cdot\left(5\cdot12\right)=\left(m\cdot5\right)\cdot12$

What property is demonstrated in the equation above?

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

e)

Inverse

171.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 4 + 2x + 1

b)

7x + 3x

c)

3x + 2x

d)

4 + 1

172.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 4 + 2 + 2

b)

3x + 4 + 2x + 2 - x - 1

c)

3x - 4 + 2 - 2 -x

d)

3x + 4 + 2 + 2 - 1 - 1

173.

Look at the model. Which of the following algebraic expressions could it represent?

a)

3x + 6

b)

3x - 6

c)

2x + 4

d)

2x + 7

174.

Look at the model. Which of the following expressions could it represent?

a)

4x + 5

b)

x + 2

c)

2x + 7

d)

4x + 5x

175.

Simplify the Expression.
9z - 21 - 3z + 10

a)

Simplified

b)

9z - 21 - 7

c)

9z - 11 -3z

d)

6z - 11

176.

w + w + w could be simplified as?

a)

3w

b)

3

c)

w

d)

0

177.

Simplify 6(x + -2)

a)

6x + -2

b)

6x - 12

c)

4x

d)

6x - 2

178.

Simplify the expression

3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

179.

Which of the answer choices is another way to represent

8\ge x+3

a)

$x+3\ge8$

b)

$x\ge5$

c)

$x+3\le8$

d)

$x\le11$

180.

Which requires an open circle when it is graphed on a number line?

a)

$w=3$

b)

$x+3\le8$

c)

$x\ge5$

d)

$\frac{x}{5}>7$

181.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

hope you get the right answer.

182.

Students were asked to solve the equation x - 3 = 8. Some student work is shown in the answer choices. Which student found the correct solution AND used the steps discussed during class?

a)

b)

c)

d)

183.

Which of these integers is NOT a solution to the inequality

6s>-12

a)

-2

b)

-1

c)

0

d)

2

184.

Which graph is the solution for

2m\ge8

a)

b)

c)

d)

185.

How would you find the solution to

10=\frac{x}{5}

a)

Multiply both sides by 10.

b)

Divide both sides by 10.

c)

Divide both sides by 5.

d)

Multiply both sides by 5.

186.

Students were asked to solve the equation 7w = 63. Some student work is shown in the answer choices. Which student found the correct solution AND used the steps discussed during class?

a)

b)

c)

d)

187.

A package of candy is being separated into 5 containers. Each container has 3 ounces of candy in it. Let c represent the total amount of candy in this situation

a)

$\frac{c}{5}=3$

b)

$5c=3$

c)

$3c=5$

d)

$c-5=3$

188.

A rectangular patio can have an area of at most 45 square feet. If the patio has a length of 5 feet, which of the following inequalities can be used to find w, the patio’s width?

a)

$5w<45$

b)

$5w>45$

c)

$5w\le45$

d)

$5w\ge45$

189.

An equilateral triangle has sides that are each x mm and a perimeter that exceeds 15 mm. What inequality represents the situation?

a)

$3x\ge15$

b)

$x+3\ge15$

c)

$3x>15$

d)

$x+3>15$

190.

Luisa spent 30 minutes on her homework last night. 20 minutes was spent working on her Math worksheet and the remaining m minutes were spent studying her vocabulary. Which equation represents this situation?

a)

$20-m=30$

b)

$20+m=30$

c)

$30+m=20$

d)

$30m=20$

191.

Which of the following equations can be solved using the model shown?

a)

$x+3=15$

b)

$x-3=15$

c)

$3x=15$

d)

$\frac{x}{3}=15$

192.

What is the solution to the inequality -3x > 3 ?

a)

x > 1

b)

x > 9

c)

x < -1

d)

x > -1

193.

How would you find the solution to

13=h+2

a)

Add 2 to both sides.

b)

Add 13 to both sides.

c)

Subtract 2 from both sides.

d)

Subtract 13 from both sides.

194.

Students were asked to solve the equation w + 9 = 3. Some student work is shown in the answer choices. Which student found the correct solution AND used the steps discussed during class?

a)

b)

c)

d)

195.

Which answer choice DOES NOT have its solution graphed below?

a)

3y > 12

b)

y + 4 > 8

c)

y - 1 > 3

d)

4y < 16

196.

Choose the correct equation for this situation: Antonia earned $45 for working 6 hours. How much did Antonia earn per hour?

a)

$e+6=45$

b)

$e-6=45$

c)

$6e=45$

d)

$\frac{e}{6}=45$

197.

-3x = -9

a)

3

b)

-3

c)

9

d)

-1

198.

Select the inequality that will require "flipping/switching the symbol."

a)

x - 2 > -18

b)

x + 2 > -18

c)

2x > -18

d)

-2x > -18

199.

Which of the following could be angle measures for a triangle?

A 120°, 50°, 20°

B 100°, 200°, 60°

C 30°, 50°, 80°

D 40°, 50°, 90°

a)

A

b)

B

c)

C

d)

D

200.

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

a)

4, 4, 4

b)

5, 5, 10

c)

3, 6, 9

d)

5, 7, 11

e)

13, 5, 6

201.

What is the area of the parallelogram above?

a)

13 cm²

b)

28.5 cm²

c)

45.6 cm²

d)

40 cm²

202.

Area of triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

203.

Find the area

a)

41

b)

45

c)

44

d)

43

204.

What is the smallest angle?

a)

∠J

b)

∠K

c)

∠L

205.

What is the largest angle?

a)

J

b)

K

c)

L

206.

Which set of side lengths will form a triangle?

a)

3, 6, 12

b)

7, 7, 14

c)

9, 9, 9

d)

13, 6, 7

207.

What is the area?

a)

28 square units

b)

35 square units

c)

14 square units

d)

35 square units

208.

What is the area?

a)

30 m²

b)

11 m²

c)

25 m

d)

15 m²

209.

Find the area of this trapezoid. The Bases are 8 inches and 2.2 inches. The height is 4 inches.

a)

40.8 in²

b)

20.4in²

c)

10.2 in²

d)

24 in²

210.

What is the biggest side?

a)

EF

b)

FG

c)

EG

211.

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

a)

more than 6 but less than 20

b)

more than 20 but less than 6

c)

less than 6 but more than 20

212.

What is the area of the parallelogram?

a)

63 cm²

b)

72 cm²

c)

56 cm²

213.

A triangle's area is 54 m² & its base is 6 meters long. What is the height of the triangle?

a)

9 m

b)

18 m

c)

324 m

d)

162 m

214.

Find the area.

a)

14 in²

b)

18 in²

c)

52 in²

d)

28 in²

215.

What is the smallest side?

a)

EF

b)

FG

c)

EG

216.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

217.

The area is 54 cm² and height is 6 cm. What is the length of the base?

a)

6 cm

b)

9 cm

c)

12 cm

d)

8 cm

218.

A triangle's area is 9.6 cm² & its height is 1.2 centimeters long. What is the base of the triangle?

a)

8 cm

b)

16 cm

c)

11.52 cm

d)

5.76

219.

Find the Area.

a)

91 ft²

b)

77 ft²

c)

78 ft²

d)

105 ft²

The Ultimate 6th Grade ACA Review

Total questions: 219

Worksheet time: 37hrs 30mins

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