Quiz about 8th Grade Math EOG Review (Part 3) ALGEBRA/FUNCTIONS FOCUS

Question 1

Solve the equation for x:

$$-10\left(x+2\right)-5x=-9x+16$$

Accepted Answer

$$x=-6$$

Answer

$$x=6$$

Answer

$$x=\frac{1}{6}$$

Answer

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

Question 2

Simplify $$\frac{4^{12} imes4^8}{4^{13}}$$

Accepted Answer

$$4^7$$

Answer

$$4^{33}$$

Answer

$$4^{-33}$$

Answer

$$4^{-7}$$

Question 3

Evaluate $$\sqrt[]{100}$$

Accepted Answer

10

Answer

50

Answer

25

Answer

98

Question 4

Evaluate $$\sqrt[3]{64}$$

Accepted Answer

4

Answer

10

Answer

8

Answer

21.3

Question 5

Find the value of x: $$x^2=16$$

Accepted Answer

$$\pm4$$

Answer

$$\pm8$$

Answer

$$4$$

Answer

$$8$$

Question 6

Find the value of x: $$x^3=-8$$

Accepted Answer

-2

Answer

$$\pm4$$

Answer

$$\pm2$$

Answer

-4

Question 7

What is $$6.79\ imes10^5$$ written in standard form?

Accepted Answer

679,000

Answer

67,900,000

Answer

0.00000679

Answer

0.0000679

Question 8

Evaluate: $$\left(6.7\ imes\ 10^4 ight) imes\left(9.1\ imes10^6 ight)$$

Accepted Answer

$$6.097\ imes\ 10^{11}$$

Answer

$$6.097\ imes10^{10}$$

Answer

$$6.097\ imes\ 10^9$$

Answer

$$60.97\ imes\ 10^{10}$$

Question 9

How many times larger is $$\left(5.4\ imes10^6 ight)$$ than $$\left(9\ imes\ 10^3 ight)$$ ?

Accepted Answer

$$6\ imes\ 10^2$$

Answer

$$0.6 imes10^3$$

Answer

$$6\ imes\ 10^3$$

Answer

$$6\ imes\ 10^4$$

Question 10

Which graph shows a linear relationship?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 11

Choose the best description of the graph:

Accepted Answer

Nonlinear because each segment has a different slope.

Answer

Linear because each section of the graph is a different straight line segment.

Answer

Both linear and nonlinear because it is made up of straight line segments but is not a complete straight line.

Answer

Neither linear nor nonlinear because it is made up of straight line segments but is not a complete straight line.

Question 12

Which table shows a nonlinear relationship?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 13

Which equation represents the table?

Accepted Answer

$$y=3x+18$$

Answer

$$y=18x+3$$

Answer

$$y=-3x+18$$

Answer

$$y=\frac{1}{3}x+18$$

Question 14

Which equation represents the graph?

Accepted Answer

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

Answer

$$y=4x-2$$

Answer

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

Answer

$$y=-2x+4$$

Question 15

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

Accepted Answer

$$y=\frac{5}{2}x$$

Answer

$$y=\frac{2}{5}x$$

Answer

$$y=5x+2$$

Answer

$$y=2x+5$$

Question 16

What is the slope of the equation below?

$$2y=10x-8$$

Accepted Answer

5

Answer

2

Answer

-8

Answer

10

Question 17

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

Accepted Answer

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

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 the different rates of change, and different y-intercepts.

Question 18

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

Accepted Answer

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

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

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

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.

Question 19

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 different slopes, but the same y-intercept.

Answer

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

Answer

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

Answer

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

Question 20

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

Accepted Answer

The difference between the y-intercepts is 1.

Answer

The difference between the y-intercepts is 2.

Answer

The y-intercepts are equal.

Answer

The rates of change are equal.

Question 21

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

$$\overline{BC},\ \overline{DE},\ \&\ \overline{FG}$$

Answer

$$\overline{AB},\ \overline{CD},\ \&\ \overline{EF}$$

Answer

$$\overline{FG}\ only$$

Answer

$$\overline{EG}\ only$$

Question 22

Between which points was he inflating the beach ball the fastest?

Accepted Answer

$$\overline{AB}$$

Answer

$$\overline{BC}$$

Answer

$$\overline{CD}$$

Answer

$$\overline{EF}$$

Question 23

The graph below shows the cost of a particular taxi cab service in Chicago. Interpret the initial value and the rate of change for the graph.

Accepted Answer

The taxi charges $4 to enter the cab and an additional $2 for every mile traveled.

Answer

The taxi charges $2 to enter the cab and an additional $2 for every mile traveled.

Answer

The taxi charges $4 to enter the cab and an additional $1 for every mile traveled.

Answer

The taxi charges $0 to enter the cab and an additional $2 for every mile traveled.

Question 24

Julie planted sunflowers in her garden. She was curious about how fast they grow so she kept a weekly log of their height. Once the sunflowers were full grown, Julie analyzed her data and calculated the equation below to represent the (H) height, in centimeters, of her sunflowers, depending how many (W) weeks had passed after planting. Interpret the y-intercept.

Accepted Answer

The y-intercept in this situation means that each sunflower was 5 cm tall when planted.

Answer

The y-intercept in this situation means that each sunflower was 24 cm tall when they were fully grown.

Answer

The y-intercept in this situation means that each sunflower grew 24 cm each week.

Answer

The y-intercept in this situation means that each sunflower grew 29 cm each week.

Question 25

James is remodeling his home and wants to put in all hard-wood flooring. The graph below shows the price of hard-wood flooring per square foot. What is the unit rate per square foot of hard-wood flooring?

Accepted Answer

$6.25 per square foot

Answer

$500 per square foot

Answer

$100 per square foot

Answer

$5 per square foot

Question 26

Mike and Anna are having a weight loss competition. Mike wants to practice kickboxing to burn calories while Anna prefers to run. Mike records his calories burned in the table below and Anna graphs her calories burned in the graph. Who burns more calories per minute?

Accepted Answer

Mike and Anna burn the same amount of calories per min.

Answer

Mike burns more calories per minute than Anna.

Answer

Anna burns more calories per minute than Mike.

Answer

There is not enough information to determine who burns more calories per minute.

Question 27

Payton and Elizabeth are working on their keyboarding skills. Payton uses the equation below to show how many words (W) she can type per minute (m). The graph below represents how many words per minute Elizabeth can type. Which statement below is most accurate?

Accepted Answer

Elizabeth types at a faster rate.

Answer

Payton types at a faster rate.

Answer

Payton and Elizabeth type at the same rate.

Answer

There is not enough information to compare the typing rates of Payton and Elizabeth.

Question 28

Kinnady is applying to work at two different restaurants to earn money while she attends college. Both restaurants offer an hourly rate of pay as well as any tips she earns during her shift. The first restaurant gave their pay scale information in a table, while the second restaurant gave their information in a graph. Both are shown below. Which restaurant will pay Kinnady more money per hour?

Accepted Answer

Restaurant 2 will pay more per hour.

Answer

Restaurant 1 will pay more per hour.

Answer

Both restaurants will pay the same amount per hour.

Answer

There is not enough information provided to compare pay rates.

Question 29

Given the equation $$y=\frac{2}{3}x+4$$ , which statement below is FALSE?

Accepted Answer

The line of the equation will have a negative slope, going down from left to right.

Answer

The line of the equation will have a positive slope, going up from left to right.

Answer

The y-intercept of the line will be (0, 4).

Answer

The graph will be a line with a constant slope which rises 2 units for every 3 units across.

Question 30

In a barn there are 17 animals. Some are cows and some are ducks. There are 54 legs in all. Which system of equations below could be used to find how many cows and how many ducks are in the barn?

Accepted Answer

c + d = 17

4c + 2d = 54

Answer

c + d = 54

4c + 2d = 17

Answer

c + d = 17

2c + 4d = 54

Answer

c + d = 17

4c + 2d = 6cd

Question 31

The sum of two numbers is 3. Their difference is 13. What are the two numbers?

Accepted Answer

(8, -5)

Answer

(8, 5)

Answer

(1, 2)

Answer

(20, 7)

Question 32

Which statement is true of the system of equations shown below?

Accepted Answer

The system of equations has no solutions

Answer

The system of equations has one solution: (0, 4)

Answer

The system of equations has one solution: (4, 0)

Answer

The system of equations has infinite solutions

Question 33

What is the solution to the system of equations shown below?

Accepted Answer

(7.5, -5)

Answer

(2.5, -5)

Answer

(-5, 20)

Answer

(-5, 0)

Question 34

Which graph shows the solution to the system of equations?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 35

Which system of equations would have infinite solutions?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

8th Grade Math EOG Review (Part 3) ALGEBRA/FUNCTIONS FOCUS

45 questions

The width of a human hair is approximately 0.0002 𝑖𝑛. What is this width written in scientific notation?

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