Quiz about End of Year Review

Question 1

Line segment RS is shown below with coordinates R(-8, -3) and S(3, -3). Which coordinate below would represent R' if point R was reflected across the x-axis?

Accepted Answer

(-8, 3)

Answer

(3, 3)

Answer

(8, -3)

Answer

(-3, -3)

Question 2

If parallelogram ABCD is translated left 2 units and down 5 units, what is the resulting coordinate of B'?

Accepted Answer

(6, 2)

Answer

(10, 2)

Answer

(8, 2)

Answer

(6, 7)

Question 3

Which transformation most likely maps figure UVWXYZ onto figure U'V'W'X'Y'Z'?

Accepted Answer

Translation using (x, y) -> (x + 3, y)

Answer

Dilation using k = 2

Answer

Dilation using k = 1/2

Answer

Translation using (x, y) -> (x, y + 3)

Question 4

If trapezoid QRST is dilated about the origin by a scale factor k of 2, what is the resulting coordinate of point T'?

Accepted Answer

(6, 2)

Answer

(-5, -4)

Answer

(-6, -4)

Answer

(-1, -4)

Question 5

Which transformation most likely maps figure AZ onto figure A'Z'?

Accepted Answer

Translation 8 units right and 1 unit down

Answer

Reflection across the X-axis

Answer

Reflection across the Y-axis

Answer

Translation 8 units left and 1 unit up

Question 6

Which sequence of transformations was most likely applied to figure QRSTU to form Q'R'S'T'U' as shown below?

Accepted Answer

Reflection across the y-axis, translation 4 units down.

Answer

Reflection across the x-axis, translation 3 units left.

Answer

Reflection across the x-axis, translation 3 units right.

Answer

Reflection across the y-axis, translation 4 units up.

Question 7

Consider the triangles below. Which statement is true?

Accepted Answer

B) The triangles are similar because of angle-angle criterion.

Answer

A) The triangles are congruent because of angle-angle criterion.

Answer

C) The triangles are neither similar nor congruent because angle-angle criterion has not been met.

Answer

D) There is not enough information to determine similarity or congruence.

Question 8

Evaluate: $ 4^{-3} $

Accepted Answer

$ \frac{1}{64} $

Answer

64

Answer

-64

Answer

-12

Question 9

Evaluate: $ 5^{80} $

Accepted Answer

1

Answer

58

Answer

0

Answer

-58

Question 10

Evaluate: $ 5^{10} \times 5^{-12} $

Accepted Answer

$ \frac{1}{25} $

Answer

-2

Answer

$ \frac{1}{10} $

Answer

25

Question 11

What is 0.5 in fraction form?

Accepted Answer

1/2

Answer

5/1

Answer

5/9

Answer

5/10

Question 12

Which of the following equations will have no solution when simplified?

Accepted Answer

8x + 5 = 8x

Answer

3x - 4 = 5x + 2

Answer

5x = 5x

Answer

4x = 32

Question 13

Find the value of x: 4x + 2(x - 3) = 6x - 6

Accepted Answer

x = 0

Answer

x = 6

Answer

Infinite solutions

Answer

No Solution

Question 14

Solve for x: (1/2)(4x + 6) = -5x + 24.7

Accepted Answer

x = -7.23

Answer

x = 3.1

Answer

x = 3

Answer

x = 7

Question 15

A student worked the following equation, showing his steps. In which step did he make a mistake?

Accepted Answer

Step 3

Answer

Step 1

Answer

Step 2

Answer

He made no error.

Question 16

Find the value of x: (x/2) + 5 = 12

Accepted Answer

x = 14

Answer

x = 7

Answer

x = 34

Answer

No Solution

Question 17

Solve the equation for x: -10(x + 2) - 5x = -9x + 16

Accepted Answer

x = (3/2)

Answer

x = -6

Answer

x = 6

Answer

x = (1/6)

Question 18

Which of the following equations will have infinite solutions when simplified?

Accepted Answer

6x = 6x

Answer

4x - 3 = 6x + 3

Answer

9x + 6 = 9x

Answer

5x = 35

Question 19

Does the figure to the right form a perfect right triangle in the center? Why or why not?

Accepted Answer

Yes; A right triangle is formed because the squares of the smaller sides add up to the square of the largest side.

Answer

Yes; A right triangle is formed because the length of the smaller sides add up to the largest side.

Answer

No; A right triangle was not formed because the length of the smaller sides does not add up to the largest side.

Answer

No; A right triangle was not formed because squares of the smaller sides do not add to equal the square of the largest side.

Question 20

What is the height (h) of the cone if the slant height is 13 cm?

Accepted Answer

12 cm

Answer

8 cm

Answer

18 cm

Answer

144 cm

Question 21

Which set of side lengths could form a right triangle?

Accepted Answer

10 cm, 6 cm, 8 cm

Answer

1 cm, 3 cm, 2 cm

Answer

5 cm, 10 cm, 15 cm

Answer

7 cm, 7 cm, 7cm

Question 22

Find the distance between point A and point B as shown on the coordinate plane below.

Accepted Answer

9 units

Answer

10 units

Answer

14 units

Answer

100 units

Question 23

Brett needed to repair a window that sat 12 feet high on a house. He has a 15 foot ladder. How far away must he set the ladder from the base of the house for it to reach the window exactly?

Accepted Answer

6 ft

Answer

3 ft

Answer

5 ft

Answer

9 ft

Question 24

Chris is planning to fill up a kiddie swimming pool for his younger sister but he does not have a water hose. He has decided to use a cylindrical bucket with a diameter of 12 inches and a height of 14.5 inches. He has already calculated the approximate volume of the kiddie pool to be able to hold about 60,000 cubic inches of water. Approximately how many buckets of water will he need to use in order to fill the kiddie pool?

Accepted Answer

Approximately 9 buckets

Answer

Approximately 115 buckets

Answer

Approximately 37 buckets

Answer

Approximately 29 buckets

Question 25

Describe the relationship shown in the table of values.

Accepted Answer

Both relation and function.

Answer

Relation only.

Answer

Function only.

Answer

Neither relation nor function.

Question 26

Which of the following sets of ordered pairs represents a function?

Accepted Answer

(1, 2), (4, 9), (10, 22), (15, 7)

Answer

(2, 3), (6, 9), (10, 12), (2, -3)

Answer

(9, -4), (2, -10), (2, -12), (10, 6)

Answer

(0, 1), (0, 2), (0, 3), (0, 4)

Question 27

Which graph DOES NOT represent a function?

Accepted Answer

Graph D

Answer

Graph A

Answer

Graph B

Answer

Graph C

Question 28

Which of the following relations does NOT represent a function?

Accepted Answer

(5, 8), (10, 2), (12, -2), (15, -5)}

Answer

y = 1/2 x + 8

Answer

Multiplying each input by 10 to produce an output

Answer

Age and Eye Color table

Question 29

Choose the best description of the relation shown below: {(2, 10), (4, 15), (6, 20), (8, 25)}

Accepted Answer

The relation is a function because every input has exactly one output

Answer

The relation is a function because every output has exactly one input

Answer

The relation is not a function because every input is different.

Answer

It is impossible to tell if the relation is a function without knowing more coordinates.

Question 30

Which table shows a nonlinear relationship?

Accepted Answer

x: 5, 7, 9 | y: 15, 11, 5

Answer

x: 5, 4, 0 | y: 8, 9, 13

Answer

x: -1, 0, 1 | y: 15, 18, 21

Answer

x: 5, 7, 9 | y: 15, 11, 7

Question 31

Which equation represents the table?

Accepted Answer

y = 3x + 18

Answer

y = 18x + 3

Answer

y = -3x + 18

Answer

y = 3/2 x + 18

Question 32

Which equation represents the graph?

Accepted Answer

y = -2x + 4

Answer

y = 4x - 2

Answer

y = 1/2 x + 4

Answer

y = -1/2 x + 4

Question 33

Which equation represents a line passing through the points (2, 5) and (4, 10)?

Accepted Answer

y = 3/2 x

Answer

y = 5/2 x

Answer

y = 5x + 2

Answer

y = 2x + 5

Question 34

What is the slope of the equation below? 2y = 10x - 8

Accepted Answer

10

Answer

2

Answer

-8

Answer

5

Question 35

Compare the equation in Item 1 with the graph in Item 2.

Accepted Answer

Items 1 and 2 have the same rate of change, and the same y-intercepts.

Answer

Items 1 and 2 have the same rate of change, but different y-intercepts.

Answer

Items 1 and 2 have different rates of change, but the same y-intercepts.

Answer

Items 1 and 2 have the different rates of change, and different y-intercepts.

Question 36

Consider the table of values and the graph below. Choose the statement below that best compares the two.

Accepted Answer

The table has an increasing rate of change while the graph has a decreasing rate of change; the graph and the table have the same y-intercepts.

Answer

The table has a decreasing rate of change while the graph has an increasing rate of change; The y-intercept of the graph is greater than that of the table.

Answer

Both the table and graph have decreasing rates of change; The y-intercept of the graph is less than that of the table.

Answer

Both the table and graph have increasing rates of change; The y-intercept of the graph is greater than that of the table.

Question 37

Consider the table of values and the equation below. Choose the statement that best compares the two.

Accepted Answer

The table and the equation have the same slope, but different y-intercepts.

Answer

The table and equation have the same slope and the same y-intercepts.

Answer

The table and the equation have different slopes and different y-intercepts.

Answer

The table and the equation have different slopes, but the same y-intercept.

Question 38

Compare the equation and the graph. Choose the statement below that best describes the functions:

Accepted Answer

The rates of change are equal.

Answer

The difference between the y-intercepts is 2.

Answer

The difference between the y-intercepts is 1.

Answer

The y-intercepts are equal.

Question 39

The graph below shows Maggie's distance from home. Which scenario could be a possible explanation for the path shown by the graph?

Accepted Answer

Maggie starts at her friend's house, passes her home and goes to the store.

Answer

Maggie starts at home and walks down a hill to her friend's house.

Answer

Maggie starts at her friend's house and walks straight home.

Answer

Maggie starts at home and walks south-east.

Question 40

Use the graph to answer this question: Isaac is attempting to inflate a large beach ball. The graph below shows the amount of air in the beach ball over a period of time. Between which points does it show that Isaac had to take a break from inflating the beach ball?

Accepted Answer

AB, CD, & EF

Answer

BC, DE, & FG

Answer

FG only

Answer

EG only

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