# Math Review (Grade 8)

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## Math Review

1.

Choose the number that is irrational.

- [math]1/4[/math]
- [math]sqrt47[/math]
- [math]89/9[/math]
- [math]4/3[/math]

2.

Choose the best answer.

[math]sqrt(106)[/math] is between which two numbers?

[math]sqrt(106)[/math] is between which two numbers?

- 10 and 11
- 9 and 10
- 11 and 12
- 8 and 9

3.

[math]3^2 xx 3^-5 = [/math]

- [math]3^3[/math]
- [math]3^-3[/math]
- [math]3^7[/math]
- [math]3^-7[/math]

4.

[math]root(3) 64 [/math]

- 8
- 4
- 2
- 6

5.

Which integer is closest in value to [math]sqrt 15[/math]?

- 2
- 3
- 4
- 5

6.

Choose the correct answer.

[math](2.76xx10^-3)xx(1.93xx10^5)[/math]

[math](2.76xx10^-3)xx(1.93xx10^5)[/math]

- [math]5.3xx10^2[/math]
- [math]5.3xx10^-2[/math]
- [math]5.3xx10^3[/math]
- [math]5.3xx10^-3[/math]

7.

Which of the following is NOT the same as [math]2^-3[/math]?

- [math]8[/math]
- [math]0.125[/math]
- [math]1/8[/math]
- [math]1/2^3[/math]

8.

Which of the following is a true statement?

- [math]7xx10^5>6xx10^8[/math]
- [math]7xx10^8>4xx10^7 [/math]
- [math]5xx10^3>3xx10^9 [/math]
- [math]5xx10^3>5xx10^5 [/math]

9.

A statue is 8 feet tall. The display case for a model of the statue is 18 inches tall. Which scale allows for the tallest model of the statue that will fit in the display case?

- 1 inch : 2 inches
- 1 inch : 7 inches
- 1 inch : 5 inches
- 1 inch : 10 inches

10.

A flagpole casts a shadow 27 feet long. A person standing nearby casts a shadow 8 feet long. If the person is 6 feet tall, how tall is the flagpole?

- 20.25 feet
- 13.5 feet
- 48 feet
- 24 feet

11.

An airplane is gaining 1,000 meters of altitude for every 2 kilometers that it travels. This graph

- has a smaller rate of change than the airplane.
- has a greater rate of change than the airplane.
- has the same rate of change as the airplane.
- has no relation than the airplane.

12.

Simplify. [math]3y=4x-6[/math]

- [math]y=4/3x-6[/math]
- [math]y=-4/3x-2[/math]
- [math]y=4/3x-2[/math]
- [math]y=x-6[/math]

13.

Two helium balloons are released at the same time. One balloon is released from the floor and rises at 1 foot per second. The other balloon is released from 3 feet up, but only rises at 1 foot every 2 seconds. Will the balloons ever be at the same height? If so, when?

- After 2 seconds
- After 6 seconds
- After 12 seconds
- Never

14.

What is the solution to [math]y=-2x+10[/math] and [math]y=x-2 ?[/math]

- [math](-2,5)[/math]
- [math](2,5)[/math]
- [math](4,2)[/math]
- No solution

15.

The lines [math]y=x+8[/math] and [math]3y-2x=2y+5[/math] have

- no solutions.
- 1 solution.
- infinitely many solutions.
- 2 solutions.

16.

Is this graph linear?

- Yes
- No
- Not enough information
- Sometimes

17.

The equation [math]y=-2x^2+2[/math] is

- linear.
- nonlinear.
- not a function.
- both b and c.

18.

Which equation has a greater rate of change than this graph?

- [math]y=1/2x[/math]
- [math]y=3/2x+5[/math]
- [math]y=3x-2[/math]
- [math]y=-3/4x[/math]

19.

Fill in the table with the following values:

[math]{(-1, 2), (0, 3), (1, 4)}[/math]

Which algebraic equation gives the correct rule for the table?

[math]{(-1, 2), (0, 3), (1, 4)}[/math]

Which algebraic equation gives the correct rule for the table?

- [math]y = 4x[/math]
- [math]y = 3x[/math]
- [math]y = x + 4[/math]
- [math]y = x + 3[/math]

20.

Given the table and equation below, what is the value of [math]square[/math] that makes the equation true?

[math]y = squarex[/math]

[math]y = squarex[/math]

x | y |
---|---|

2 | 8 |

3 | 12 |

4 | 16 |

5 | 20 |

- 2
- 4
- 6
- 8

21.

The second image was created from the first using which transformation(s)?

- Rotation
- Translation and Dilation
- Reflection and Translation
- No possible transformations

22.

Which relationship is true for the images?

- They are congruent.
- They are similar, but not congruent.
- They are neither similar nor congruent.

23.

The measures of the angles of triangle ABC are:

[math]angA = xdeg[/math]

[math]angB = ydeg[/math]

[math]angC = zdeg[/math]

Extend side AC to the right to form an external angle. Which expression equals the value of the external angle?

[math]angA = xdeg[/math]

[math]angB = ydeg[/math]

[math]angC = zdeg[/math]

Extend side AC to the right to form an external angle. Which expression equals the value of the external angle?

- [math]y - z[/math]
- [math]y + z[/math]
- [math]x - y[/math]
- [math]x + y[/math]

24.

Given a triangle whose hypotenuse is 65 feet and one of the legs is 25 feet. Use the Pythagorean Theorem to find the length of the remaining side.

- 62 feet
- 60 feet
- 56 feet
- 53 feet

25.

In the figure, if angle 1 is [math]100deg[/math], what is the measure of angle 5?

- [math]80deg[/math]
- [math]100deg[/math]
- [math]110deg[/math]
- [math]140deg[/math]

26.

A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84 feet, and the total height of the building up to the top of the dome is 91 feet, what is the approximate total volume of the building?

- 48,600 cubic feet
- 5,005 cubic feet
- 9,365 cubic feet
- 10,011 cubic feet

27.

The scatter plot shows the number of calories Lexie burns per minute when she does her stretching exercises. Which of the following best estimates the number of calories Lexie would burn during 50 minutes of stretching?

- 26
- 38
- 45
- 51

28.

If the four data points listed were added to the scatter plot, which point would be an outlier?

- (15, 16)
- (25, 10)
- (30, 32)
- (45, 44)

29.

Which of the equations below best represents the line with the following points?

x - 0, 1, 2, 3, 4

y - 10, 9, 8, 7, 6

x - 0, 1, 2, 3, 4

y - 10, 9, 8, 7, 6

- [math]y=x+10[/math]
- [math]y=-x-10[/math]
- [math]y=x-10[/math]
- [math]y=-x+10[/math]

30.

Data for 9 kids' history grades and the distance they live from school were calculated. What is the association between these two categories?

- No association
- Positive association
- Negative association
- Constant association

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