Free Printable End of Year Review

1.

Which algebraic inequality represents the statement, "seven subtracted from twice a number, n, is greater than 8"?

a)

7 - 2n < 8

b)

7 - 2n > 8

c)

2n - 7 > 8

d)

2n - 7 < 8

2.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

3.

The horizontal axis is the _____.

a)

X-axis

b)

Y-axis

c)

Origin

d)

Slope

4.

To solve for any variable, you must _______.

a)

Get the variable alone on one side

b)

Distribute the variable to the numbers

c)

Get everything on the same side

d)

Ask for help

5.

To distribute, like for 2(x+3), you must _________.

a)

Multiply 2 by both x and 3 separately

b)

Add x and 3 to get 3x and then multiply by 2

c)

Add 2 to both x and 3 separately

d)

Multiply 2 by x only

6.

When you combine like terms, you can only combine terms which have the same _______.

a)

Variables with them, like 2x + 3x=5x

b)

Numbers, like

2x + 2y = 4xy

c)

Just add everything together.

d)

Combine 2x +3y to equal 5xy

7.

The reciprocal of a whole number, like 2, is ______.

a)

Is always a fraction, like $\frac{1}{2}$

b)

Is always a fraction, like $\frac{2}{1}$

c)

Is always a whole number, like 2

d)

Is always a mixed number, like $2\ \frac{1}{2}$

8.

The reciprocal of a fraction, like $\frac{3}{5}$ , is ______.

a)

The top and bottom switched, like $\frac{5}{3}$

b)

Is the same as it was, like $\frac{3}{5}$

c)

Is the two numbers added together, like 8

d)

Is the two numbers subtracted from each other, like 2

9.

Translation are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

10.

When you translate, you are simply _______ the shape around the coordinate plane.

a)

Sliding

b)

Rotating

c)

Reflecting

d)

Expanding

11.

When you reflect a shape, you ______ over an axis or line.

a)

Flip

b)

Rotate

c)

Slide

d)

Expand

12.

The formula P=2L+2W is used to find the perimeter for _______.

a)

A square

b)

A triangle

c)

A circle

d)

A trapezoid

13.

Which is true about the scale factor when a figure is enlarged?

a)

The scale factor is zero.

b)

The scale factor is 1.

c)

The scale factor is larger than 1.

d)

The scale factor is smaller than 1.

14.

Congruent figures are figures that are the SAME size and the SAME shape.

A dilation produces a congruent figure.

a)

True

b)

False

15.

Evaluate the expression.

a)

b

b)

b^1.25

c)

b²⁰

d)

b⁹

16.

What is 3.2 x 10^-4written in standard form?

a)

32,000

b)

320,000

c)

0.00032

d)

0.000032

17.

Which of the following is rational?

a)

√2

b)

√25

c)

√3

d)

√50

18.

What is the missing side length?

a)

7

b)

1

c)

5

d)

6

19.

What is the formula for the area of a triangle?

a)

A=bh

b)

A=lw

c)

A=s²

d)

A= $\frac{1}{2}$ (bh)

20.

If two figures are similar, their angles are:

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

21.

Solve 8x - 6 = 6x. What is the solution?

a)

x = 1/2

b)

x = 3

c)

x = 6

d)

x = -3

22.

What is the slope of the line described by y = 3x - 6?

a)

3

b)

6

c)

-3

d)

-6

23.

What describes the slope of the line pictured?

a)

0

b)

negative

c)

positive

d)

undefined

24.

What is the slope of the line that passes through (2, 2) and (0, -3)?

a)

$\frac{5}{2}$

b)

2/5

c)

$-\frac{5}{2}$

d)

$-\frac{2}{5}$

25.

Write an equation in slope-intercept form for a line that goes through the points (1,5) and (2, 8).

a)

y = -2x + 3

b)

y = -3x - 2

c)

y = 2x + 3

d)

y = 3x + 2

26.

Select the graph for y > -2x - 3

a)

A

b)

B

c)

C

d)

D

27.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

28.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

29.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

30.

Which expression is equal to b^-6?

a)

b⁶

b)

$\frac{1}{b}$

c)

$\frac{1}{b^6}$

d)

none of the above

31.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

32.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

33.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

34.

33 = 4a - 7

a)

a= -10

b)

a= 10

c)

a= 4.5

d)

a= -11

35.

a)

True

b)

False

36.

a)

7⁵

b)

7⁶

c)

21

d)

75

37.

a)

27

b)

27x⁰

c)

27x⁸

d)

39

38.

a)

A

b)

B

c)

C

d)

D

39.

a)

A

b)

B

c)

C

d)

D

40.

What are the two solutions for x²=49

a)

7, -7

b)

7

c)

-7

d)

25

41.

a)

A

b)

B

c)

C

42.

a)

A

b)

B

c)

C

d)

D

43.

Does this relation represent a function?

a)

NO

b)

Yes

44.

What do the angles inside of a triangle add up to? What is the angle measurement of a straight line?

a)

180

b)

80

c)

360

d)

90

45.

What is the distance between the bench and the flower garden?

a)

12.6 ft

b)

17.1 ft

c)

28.5 ft.

d)

31.3 ft

46.

Solve the following equation:
5n + 34 = −2(1 − 7n)

a)

n = 4

b)

n = 5

c)

n = 6

d)

n = 7

47.

Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

48.

Which statement about the scatterplot shown is TRUE?

a)

As age decreases, time to run a mile increases

b)

As age decreases time to run a mile decreases

c)

As age increases, time to run a mile increases

d)

As age increases, time to run a mile decreases

49.

What is the equation of the line shown?

a)

y = -2x + 3

b)

y = 2x + 1

c)

y = 1/2x + 3

d)

y = - 3/2x + 1

50.

Which transformation is this an example of?

a)

Reflection over the Y-Axis

b)

Reflection over the X-Axis

c)

Dilation

d)

Translation

51.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

a)

$76\degree$

b)

$104\degree$

c)

$180\degree$

d)

$-76\degree$

52.

What is the missing angle?

a)

$95\degree$

b)

$113\degree$

c)

$35\degree$

d)

$85\degree$

53.

Rotate the point (-3, -4) around the origin 180 degrees. State the image of the point.

a)

(-4, -3)

b)

(-4, 3)

c)

(4, -3)

d)

(3, 4)

54.

What is the slope of the line represented by $5x-9y=14$

a)

$5$

b)

$\frac{5}{9}$

c)

$\frac{9}{5}$

d)

$-9$

55.

How many times larger is 8 X 10^-⁷ than 2 X 10^-11?

a)

4

b)

4 x 10^-4

c)

4 X 10⁴

d)

4 x 10^-18

56.

Which function is linear?

a)

y = 2x + 4

b)

y = 2x² + 4

c)

y = 2x(4 − 3x)

d)

xy = 15

57.

Steffen graphed two lines in order to find the solution to a given system of equations.

What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

e)

(0, 0)

58.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

e)

Three Solutions

59.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

Picture

e)

Dilation

60.

What is the value of $9-x$ when $x=5$ ?

a)

1

b)

4

c)

14

d)

45

61.

How do you write $7\times7\times7$ as a power?

a)

$7\times3$

b)

$3\times7$

c)

$7^3$

d)

$3^7$

62.

The graph shows Michael's savings. How much is he spending per day?

a)

$40

b)

$20

c)

$160

d)

$60

63.

The graph shows Michael's savings. How much money did Michael start with?

a)

0

b)

$20

c)

$200

d)

$60

64.

Solve the following equation: -5n + 1 = 2n - 27

a)

n = 4

b)

n = 7

c)

n = 3

d)

n = 28

65.

The table below shows what kind of relationship?

a)

linear and proportional

b)

linear

c)

nonlinear

d)

None of the above

66.

a)

x is less than or equal to 2

b)

x < -2

c)

2 < x

d)

x is greater than 2

67.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

68.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

69.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

70.

Write the inequality:
The speed limit on Rollins Road is 35 miles per hour.

a)

x > 35

b)

x < 35

c)

x ≥ 35

d)

x ≤ 35

71.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

72.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

73.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

74.

What is the measure of the missing angle?

a)

39

b)

180

c)

119

d)

129

75.

When adding integers with the same sign you ________________.

a)

Subtract and keep the sign of the larger number.

b)

Add and keep the sign.

c)

Add them and it becomes positive.

d)

Change all the negatives to positives and add them.

76.

A negative PLUS a negative will give you what on your final answer.

a)

Positive

b)

Negative

77.

Which situation would you represent with a negative integer?

a)

a mountain climber descending a mountain

b)

a price increase

c)

a person winning a sum of money

d)

an elevator going from the 3rd floor to the 5th floor

78.

Write $\frac{2}{5}$ as a decimal

a)

.02

b)

.4

c)

2.5

d)

.25

79.

Write $\frac{52}{100}$ as a decimal

a)

5.2

b)

.052

c)

52.100

d)

.52

80.

Write .27 as a fraction

a)

$\frac{2}{7}$

b)

$2\ \frac{7}{10}$

c)

$\frac{27}{100}$

d)

$2\ \frac{7}{100}$

81.

a)

5/6

b)

3/15

c)

3/8

d)

2/15

82.

Convert into an improper fraction.

a)

15/2

b)

10/5

c)

17/5

d)

11/2

83.

What is a rational number?

a)

A terminating decimal (example .5)

b)

A repeating decimal (example .3̅)

c)

A number that can be written as a fraction (example 2/6)

d)

A number that doesn't repeat or end (example π 3.14159...)

84.

Write $\frac{3}{5}$ as a decimal

a)

.35

b)

.6

c)

3.5

d)

.8

e)

decimal

85.

Pythagorean Theorem works on what kind of triangles?

a)

Right Triangles

b)

Left Triangles

c)

Isosceles Triangles

d)

Equilateral Triangles

e)

Scalene Triangles

86.

Find the distance between the points (3, 5) and (6, 9)

a)

(9, 14)

b)

3 right and 4 up

c)

5

d)

√25

e)

(3, 4)

87.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

88.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

89.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

90.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

91.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

e)

Every output has only ONE input

92.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

93.

How do you write the algebraic notation when the scale factor is 3?

a)

(x, y) goes to ( $\frac{1}{3}$ x, $\frac{1}{3}$ y)

b)

(x, y) goes to (-3x, -3y)

c)

(x, y) goes to (x + 3, y + 3)

d)

(x, y) goes to (3x, 3y)

e)

(x, y) goes to

( $-\frac{1}{3}$ x, $-\frac{1}{3}$ y)

94.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

95.

Which two functions have a graph that is a line?

a)

y = $\frac{3}{x}$ + 2

b)

y = 2x²– 9x

c)

y = –3^x

d)

y = 2x – 9

e)

y = $-\frac{6}{7}x$

96.

Which sets of ordered pairs are functions?

Choose all that apply.

a)

(9, -1), (8, -2), (7, -3), (6, -4)

b)

(5, -1), (5, -2,), (5,12), (5, 0)

c)

(4, 2), (-4, 2), (2, 4), (-2, -4)

d)

(1, -4), (2, -4,), (3, -4), (4, -4)

e)

(5, 8), (4, 9), (5, 9), (4, 8)

97.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

98.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

a)

The monthly fee

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

99.

2. a.) Write the equation of the line represented in the picture.

a)

y = -2/3x + 5

b)

y = -3/2x + 7

c)

y = 2/3x + 5

d)

y = 3/2x + 5

100.

A customer is ordering hats and t-shirts from an online store. Each hat costs $7, and each t-shirts costs $10. The customer receives free shipping if the amount of the order is over $100.

Write an inequality that represents all possible combinations of hats, x, and t-shirts, y, in an order that qualifies for free shipping.

(a) x + (b) y (c) (d)

Choose from the below words

$7$

$10$

$100$

=

<

$>$

101.

Match the following

a)

1.

Reflection over the y-axis

b)

2.

Reflection over the x-axis.

c)

3.

translation

102.

Match the following transformations with their rule.

a)

Translated

2 units UP

1.

( x , y + 2)

b)

Translated

2 units DOWN

2.

( x , y - 2 )

c)

Translated

2 units Left

3.

( x - 2 , y )

d)

Translated

2 units Right

4.

( x + 2 , y )

103.

Match the following transformations with their graphs

a)

1.

Reflection in the x-axis

b)

2.

Reflection in the y-axis

c)

3.

reflection in the line y=x

d)

4.

A translation

e)

5.

A rotation

104.

Match the following word with the transformation action:

a)

Translation

1.

Slide

b)

Reflection

2.

Mirror

c)

Rotation

3.

Turn

d)

Dilation

4.

Resize

105.

Reflect the given point ( -2,-5) over the y-axis and then translate up 3.

106.

Match each equation with the correct attribute

a)

$y=-2x+2$

1.

Slope = -2

b)

$y=2x+6$

2.

Y-Intercept = 6

c)

$y=-\frac{1}{2}x+2$

3.

Slope = -1/2

d)

$y=2x-2$

4.

Y-Intercept = -2

e)

$y=6x-\frac{1}{2}$

5.

Slope = 6

107.

Match the following y-intercepts with the equation

a)

$y=2x-4$

1.

-4

b)

$y=-3x+3$

2.

3

c)

$y=7$

3.

7

d)

$x=-5$

4.

undefined

e)

$y=\frac{1}{2}x+4$

5.

4

108.

$y=2x-10$

Identify the following about the equation above.

slope (m): (a)

y-intercept: (b)

Choose from the below words

2

-10

10

2x

y

109.

Use the equation below to match each piece with its appropriate definition

$y=5x+2$

a)

Constant

1.

2

b)

Coeffecient

2.

5

c)

Variable

3.

y

110.

Madison bought a pounds of apples and b pounds of bananas and spent a total of $10.38.

The price of apples is $0.60 per pound.

The price of bananas is $1.75 per pound.

Create an equation that models the total amount of money that Madison spends on fruit.

(Do NOT use $ dollar signs in your equation!)

111.

Samantha sells two types of wristbands, rope or beaded.

She charges MORE for BEADED wristbands than for rope wristbands.

The amount of money, in dollars, that she collects from selling X wristbands of one type

and Y wristbands of the other type can be modeled by the expression $5x+8y$ .

What does each of the following expressions represent in this situation?

a)

5

1.

$ Price of the rope wristbands

b)

x

2.

Number of rope wristbands sold

c)

8

3.

$ Price of the beaded wristbands

d)

y

4.

Number of beaded wristbands sold

112.

What is the slope of the line parallel to $y=\frac{4}{5}x-2$ ?

113.

How many students speak a foreign language?

a)

80

b)

85

c)

65

d)

60

114.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

115.

Which of the following expressions represents the perimeter of the figure above?

a)

4(x + 4 + 1)

b)

2(x + 4) - 2(x + 1)

c)

2x + 5

d)

4x + 10

116.

Simplify: $\sqrt{\frac{25}{100}}$

a)

$\frac{25}{144}$

b)

$\frac{5}{10}$

c)

$\frac{1}{2}$

d)

0.25

117.

Which graph represents a function?

a)

b)

c)

d)

118.

What is the volume of the Cylinder?

a)

565.2 yd³

b)

141.3 yd³

c)

180 yd³

d)

30 yd³

119.

What is the volume of a cone with a diameter of 10 cm and a height of 6 cm? (Use 3.14 for π)

a)

60 cm³

b)

188.4 cm³

c)

471 cm³

d)

157 cm³

120.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

121.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

122.

Using exponents, what is the simplified form of the expression (2⁴)⁷

a)

2³

b)

14²⁸

c)

2²⁸

d)

2¹¹

123.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

124.

In order for a graph to be proportional it has to___?

a)

pass over the y-axis

b)

pass over the x-axis

c)

pass through the origin

125.

Which of these measurements represent a right triangle?

a)

2cm,4cm,8cm

b)

6cm, 8cm, 10cm

c)

6cm, 15cm, 17cm

126.

Find the SLANT of the triangle.

a)

9.85 inches

b)

4.5 inches

c)

9 inches

d)

9.5 inches

127.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

128.

How do you write 8.317 x 10⁶in standard form?

(a)

129.

$6\left(m+3\right)=2\left(m+5\right)$

a)

No solution

b)

One Solution

c)

Infinite Solutions

130.

a)

F

b)

G

c)

H

d)

J

131.

The Southeast Polk Junior High teachers go to the Bowl-O-Rama on Friday after school.The cost to bowl per game is $3 and to rent shoes for the night is $2. What represents the slope?

a)

Number of teachers

b)

Cost per game

c)

Cost for shoes

d)

Number of games

132.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

133.

The area of a square is 100 cm². What is the perimeter?

(a)

134.

Estimate the square root.

a)

1.4

b)

1.5

c)

1

d)

1.7

135.

√21 falls between what two consecutive perfect squares?

a)

√9 and √16

b)

√16 and √25

c)

√25 and √36

d)

^{√64 and √81}

136.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

137.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

138.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

139.

(34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

140.

Match the following

a)

$x^{-6}$

1.

1/x⁶

b)

$\frac{1}{x^{-6}}$

2.

x⁶

c)

$\frac{x^2}{y^{-2}}$

3.

x²y²

d)

$2x^{-2}$

4.

2/x²

141.

What is the slope?

a)

-1/5

b)

-5

c)

-4

d)

-6

142.

Match the following

a)

1.

-5

b)

2.

-1

c)

3.

$\frac{2}{5}$

d)

4.

-4

e)

5.

undefined

143.

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

144.

Which Angle measurements does NOT create a Triangle?

a)

60,60,60

b)

90,45,45

c)

50,60,40

d)

50,100,30

145.

a)

41°

b)

65°

c)

102°

d)

115°

End of Year Review

Total questions: 145

Worksheet time: 6hrs 13mins

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