Free Printable 7th acc FAST Review

1.

Simplify the expression.
-b + 2 + 9b

a)

2 + 8b

b)

2 - 8b

c)

-8b + 2

d)

-2 - 8b

2.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

3.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

4.

Solve 7 - 3y = 22

a)

-5

b)

5

c)

15

d)

-15

5.

Solve

a)

5

b)

-6

c)

6

d)

21

6.

Simplify the expression.
v + 2 + v + 8

a)

v + 10

b)

2v + 6

c)

2v

d)

2v + 10

7.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

8.

Which relation is not a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

9.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

10.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

11.

Find the slope of the following:

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

2

d)

-2

12.

Find the slope of the line that goes through the points:

(-3, 7) and (7, -3)

a)

1

b)

-1

c)

$\frac{2}{5}$

d)

$-\frac{5}{2}$

13.

Simplify the following:

$\frac{8x^5}{4x^2}$

a)

$2x^3$

b)

$2x^7$

c)

$4x^3$

d)

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

14.

3) Solve:

a)

x= 13

b)

x= 3

c)

x= -13

d)

x= -3

15.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = 2x - 3

16.

What is the slope in the equation: y=4x+3

(a)

17.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

18.

Simplify

\left(x^9\times x^{-7}\right)^0\times y^2

a)

1

b)

$x^{-63}y^2$

c)

$x^2y^2$

d)

$y^2$

19.

Simplify the expression

$\left(\frac{3m^2n^7}{m}\right)^5$

a)

$81m^5n^{35}$

b)

$243n^{35}m^5$

c)

$243mn^{35}$

d)

$15m^7n^{12}$

20.

a)

w

b)

w^-1= 1/w

c)

-w

d)

w¹⁷

21.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

22.

Simplify:
b²⋅ b⁴

a)

b⁸

b)

b⁶

c)

b²

d)

2b⁶

23.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

24.

(x³y)⁶

a)

2x¹⁸y⁶

b)

x¹⁸y⁶

c)

x³y⁶

d)

x³y⁶

25.

a)

b)

c)

d)

26.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

27.

The origin is located where in the coordinate plane?

a)

(0, 0)

b)

(10,10)

c)

(100, 100)

d)

(50, 50)

28.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

29.

What is the constant of proportionality?

a)

15

b)

5

c)

75

d)

25

30.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14

31.

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

32.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

33.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

34.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

35.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

36.

Which side is the hypotenuse?

a)

9

b)

x

c)

14

37.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

38.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

39.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

40.

Which angles are vertical angles?

a)

$\angle8\ \ and\ \angle7$

b)

$\angle8\ and\ \angle6$

c)

$\angle8\ and\ \angle5$

41.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

42.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

43.

Name a pairs of vertical angles in the figure.

a)

∠1 and ∠4

b)

∠6 and ∠5

c)

∠2 and ∠4

d)

∠1 and ∠6

44.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

45.

What angle pair is pictured?

a)

Alternate Interior Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Corresponding Angles

46.

Find the missing angle.

a)

60°

b)

70°

c)

50°

d)

140

47.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

48.

Which equation will help you solve for x?

a)

$2x=x+9$

b)

$2x+x+9=180$

c)

$2x+x+9=90$

49.

Find x if the angles are complementary.

a)

15

b)

75

c)

25

d)

90

50.

Which equation will help you solve for x?

a)

$9x+3x=90$

b)

$9x+3x=180$

c)

$9x=3x$

51.

a)

15

b)

16

c)

18

d)

19

52.

What is the measure of <x?

a)

180^o

b)

65^o

c)

110^o

d)

135^o

53.

What is the measure of <C?

a)

77^o

b)

50^o

c)

130^o

d)

103^o

54.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

55.

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if

necessary.

a)

A

b)

B

c)

C

d)

D

56.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

57.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

58.

Find the measure of one interior angle in each regular polygon. Round your answer to the

nearest tenth if necessary.

a)

A

b)

B

c)

C

d)

D

59.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

60.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

61.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

62.

Find the measure of angle x.

a)

138

b)

96

c)

93

d)

87

63.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

64.

a)

47

b)

57

c)

53

d)

133

65.

What's the probability of spinning a number greater than 2?

a)

2/6 or 1/3

b)

4/6 or 2/3

c)

5/6

d)

1/6

66.

What is the probability of flipping a coin, getting tails?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

67.

Roll dice: 1, 2, 3, 4, 5

What is the probability of rolling a number greater than 2?

a)

3/5

b)

4/5

c)

2/5

d)

1/5

68.

If you choose from the following M & M colors, what is the probability that you choose blue? **Remember to simplify**

5 green

6 yellow

8 blue

7 brown

a)

8/18

b)

4/13

c)

8/25

d)

1/3

69.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

a)

5/11

b)

5/6

c)

1/3

d)

5

70.

Theoretical P(Green or Red)

a)

2/6

b)

1/5

c)

2/5

d)

1/5

71.

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

a)

6

b)

12

c)

24

d)

36

72.

The cafeteria is serving three kinds of sandwiches: tuna (T), chicken, (C), and peanut butter (P). They are also serving a choice of two drinks: milk (M) or water (W). Which shows the complete set of possible combinations?

a)

TW, CW, PW

b)

TW, TM, TC, CW, PW

c)

TW, TM, CW, CM, PW, PM

d)

TCP, MW

73.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

74.

Which shows the sample space for flipping two coins?

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

Dime, Nickel

75.

If you spin two spinners, one with 2, 4 and 6 and the other with 1, 3 and 5, what is the sample space?

a)

1, 2, 3, 4, 5, 6

b)

2, 4, 6

c)

1, 3, 5

d)

(1, 2), (1, 4), (1, 6), (3, 2), (3, 4), (3, 6), (5, 2), (5, 4), (5,6)

76.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

77.

What is the solution for x given the graph to the systems of equations

(a)

78.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

79.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

80.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

81.

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

a)

(3,1)

b)

(1,3)

c)

(-3,1)

d)

(3,-1)

82.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

83.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

84.

$What\ is\ the\ y-int\ of\ the\ following\ equation,\ y=-\frac{3}{5}x\ -30?$

a)

$\frac{3}{5}$

b)

-30

c)

30

d)

- $\frac{3}{5}$

85.

What is the equation for the graph?

a)

$y=1x-\frac{1}{3}$

b)

$y=\frac{-1}{3}x+1$

86.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

87.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

88.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

89.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

90.

Which is the graph of the equation ?

y=\frac{1}{3}x\ -\ 2

a)

b)

c)

d)

91.

Which is the graph of the equation ?

y\ =\ -2x\ +\ 1

a)

b)

c)

d)

92.

Which is the graph of the equation ?

y\ =\ -x\ +\ 2

a)

A

b)

B

c)

C

d)

D

93.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

94.

What is the slope of this line?

a)

-4/5, down 4 right 5

b)

4/5, up 4 right 5

c)

-5/4, down 5 right 4

d)

5/4, up 5 right 4

95.

Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)

a)

y = ¹/₇ x + 26

b)

y = 7x + 26

c)

y = -7x + 26

d)

y = -7x - 26

96.

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

a)

y = 2x + 2

b)

y = -2x - 2

c)

y = -2x + 2

d)

y = 2x - 2

97.

Write an equation of a line in slope-intercept form that has a slope of 1/2 and goes through the point (-4, 8).

a)

y=1/2x+6

b)

y=1/2x+10

c)

y=1/2x

d)

y=1/2x+12

98.

Which of the following is the equation of the line that has a slope of 3 and passes through the point ( - 1, 9 )?

a)

y = - 3x + 12

b)

y = 3x + 3

c)

y = 3x + 12

d)

y = 3x - 3

99.

.141414141414...

a)

Rational

b)

Irrational

100.

pi - 3.141592....

a)

Rational

b)

Irrational

101.

√2

a)

Rational

b)

Irrational

102.

√25

a)

Rational

b)

Irrational

103.

4π

a)

rational

b)

irrational

104.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

105.

-17.5

a)

Rational

b)

Irrational

106.

.141414141414...

a)

Rational

b)

Irrational

107.

a)

F

b)

G

c)

H

d)

J

108.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

109.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

110.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

111.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

112.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

113.

Solve:
(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

114.

Solve:
(9 x 10^-6) divided by (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

3 x 10^-9

d)

27 x 10^-3

115.

Solve:
(2.2 x 10⁴) x (7.1x 10⁵)

a)

1.562 x 10¹⁰

b)

15.62 x 10⁹

c)

15.62 x 10²⁰

d)

1.562 x 10²⁰

116.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

117.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

118.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

119.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

120.

Rotate the point (-5,8) around the origin 90 degrees clockwise. State the image of the point.

Rule: (x, y) ----- (y, -x)

a)

(-8,5)

b)

(8,-5)

c)

(8,5)

d)

(5,-8)

121.

Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.

Rule: (x, y) ---- ( -y, x)

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

122.

If you were to rotate ABCD 90°clockwise about the origin, what would the coordinate of A' be?

Rule: (x, y) ----- (y, -x)

a)

(-5, 5)

b)

(5, -3)

c)

(-5, 3)

d)

(-3, 3)

123.

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

Rule: (x, y) ---- ( -x, -y)

a)

(5,-5)

b)

(5,5)

c)

(-5,5)

d)

(-5,-5)

124.

Rotation Rules (clockwise):

270^o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

125.

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

126.

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

127.

Which translation will move the blue shape to the green shape?

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

128.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

129.

a)

A

b)

B

c)

C

d)

D

130.

a)

A

b)

B

c)

C

d)

D

131.

Triangle PQR is similar to triangle DEF shown. Which describes the relationship between the corresponding sides of the two triangles?

a)

b)

c)

d)

132.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

133.

Triangle GHI is reflected across the x-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

134.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

135.

Which scatter plot shows no relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

136.

Which scatter plot show a positive relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

137.

What type of correlation does this graph have?

a)

Negative

b)

no association

c)

positive

138.

Make a prediction for a resting heart rate after 6 hours of exercise a week.

a)

6

b)

50

c)

55

d)

59

139.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade.

d)

No relationship exists between the number of books students read and their English grades.

140.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

141.

a)

The more you miss school the higher your grade will be.

b)

The more days that you are absent the lower your grade will be.

c)

There is no correlation between days absent and your grade.

142.

What is the slope of this table?

a)

15

b)

6

c)

1/6

d)

-6

143.

What is the equation of the straight line shown in the diagram?

a)

y = (½)x - 2

b)

y = 2x - 2

c)

y = -2x + ½

d)

y = -(½)x + 2

144.

What is the equation of the following line?

a)

y = 3/4x + 2

b)

y = 1 1/3x + 2

c)

y = -3/4x + 2

d)

y = -1 1/3x + 2

145.

The equation has how many solutions:

2x\ +\ 4\ =\ 2x\ +\ 4

a)

One Solution

b)

None Solution

c)

Infinite Solutions

146.

The equation has how many solutions.

3x\ -\ 4=3x\ +\ 9

a)

One Solution

b)

No Solution

c)

Infinite Solutions

147.

How many solutions does the equation have?

2x\ -\ 8\ =\ x\ +\ 9

a)

One Solution

b)

No Solution

c)

Infinite Solutions

148.

How many solutions does the equation have?

3x\ +\ 12\ =\ 3\left(x\ +\ 4\right)

a)

One Solution

b)

No Solution

c)

Infinite Solutions

149.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

150.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

151.

Solve 3x + 2 > 8

a)

subtract 2 from both sides and your answer is

x > 6

b)

subtract 2 from both sides and your answer is

x = 6

c)

subtract 2 from both sides and then divide by 3 on both sides and your answer is

x > 2

152.

Try some:

-2x ≤ 4

a)

divide by -2 o both sided and your answer will be

x = -2

b)

divide by -2 on both sides and you will switch the direction of the inequality since you are dividing by a negative and your answer will be

x ≥ -2

c)

divide by -2 on both sides and your answer will be

x ≤ -2

7th acc FAST Review

Total questions: 152

Worksheet time: 25hrs 20mins

Similar Resources on Wayground