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8th Grade Math Mid Term

Total questions: 35

Worksheet time: 18mins

Name
Class
Date
1.

How can the following expression be written using a single exponent?

(52)3\left(5^2\right)^3

a)

b)

c)

d)

2.

Michael is using computer software to design a new logo for his company. He starts with the figure below. Next, he wants to change the orientation of the figure. Which of the following could he use? Check all that apply.

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

3.

Which of the following equations has NO SOLUTION?

a)

b)

c)

d)

4.

The sail on a boat is in the shape of a triangle. Given the measures, is the sail a RIGHT TRIANGLE?

a)

No because 152+362≠39215^2+36^2\ne39^2

b)

No because 15+36≠3915+36\ne39

c)

Yes because 152+362=39215^2+36^2=39^2

d)

There is not enough information to answer the question.

5.

Which type(s) of transformations could map Triangle 1 to Triangle 3?

a)

Reflection over line a

b)

Reflection over line b

c)

A reflection over line a, followed by a reflection over line b

d)

A reflection over line b, followed by a translation over line a

6.

A soup can in the shape of a cylinder is 11.2 centimeters high with a diameter of 8.45 centimeters. To the nearest centimeter, how much soup will the can hold when it is full?

a)

b)

c)

d)

7.

a)

84%

b)

About 79%

c)

53%

d)

About 19%

8.
9)
a)
A.
b)
B.
c)
C.
d)
D.
9.

Solve the following equation.

12(6x+5)=34(8x−4)\frac{1}{2}\left(6x+5\right)=\frac{3}{4}\left(8x-4\right)

a)

b)

c)

d)

10.

A farmer leans a 15-foot ladder against the side of a barn. She places the base of the ladder 6 feet from the barn. How high up the bard does the ladder reach?

a)

About 16.1 ft.

b)

About 13.7 ft.

c)

About 5 ft.

d)

3 ft.

11.

A Pre-Image point A(−3,4)A\left(-3,4\right) is dilated by a scale factor of 23\frac{2}{3} . What is the IMAGE point?

a)

b)

c)

d)

12.

Which of the following numbers is IRRATIONAL? CHECK ALL THAT APPLY.

a)

49\sqrt[]{49}

b)

5\sqrt[]{5}

c)

5.34‾5.\overline{34}

d)

5.455.45

e)

π\pi

13.

a)

b)

c)

d)

14.

a)

None

b)

One

c)

Two

d)

Infinite

15.

a)

b)

c)

d)

16.

A dust mite is 0.42 millimeters long.

How do you write this measurement in Scientific Notation?

a)

b)

c)

d)

17.

a)

Dilation

b)

Reflection

c)

Rotation

d)

Translation

18.

a)

b)

c)

d)

19.
22)
a)
A. About 74% of the students polled prefer math class.
b)
B. Ten percent of the students polled are left-handed
c)
C. Of the students who are left-handed, 80% prefer math class.
d)
D. There is an association between being left-handed and preferring math class.
20.

a)

b)

c)

d)

21.

Which of the following equations has infinitely many solutions?

a)

b)

c)

d)

22.

Choose the correct answer: Write 640,000,000640,000,000 in scientific notation.

a)

b)

c)

d)

23.

How many solutions does the following equation have?

−12m+15+7m−53=−5(m+6)−8-12m+15+7m-53=-5\left(m+6\right)-8

a)

No Solutions

b)

One Solution

c)

2 Solutions

d)

Infinitely many

24.

a)

b)

c)

d)

25.

Triangle ABC has coordinate A(−4,5)A\left(-4,5\right) , B(5,4)B\left(5,4\right) and C (0,−2)\left(0,-2\right) . What are the coordinates of Triangle ABE after a dilation with a scale factor of 4?

a)

A (-16, 20)

B (20, 16)

C (0, -8)

b)

A (-1, 1.25)

B (1.25, 1)

C (0, -0.5)

c)

A(16, 20)

B(20, 16)

C(0, 8)

d)

A(0, 9)

B(9, 8)

C(4, 2)

26.

Jeremy is putting down a carpet in a square-shaped room. The floor has an area of 90 square feet.

He knows that the length of each side is 90\sqrt[]{90}

Which statement is true about 90\sqrt[]{90}

a)

b)

c)

d)

27.

a)

About 35%

b)

58%

c)

About 60%

d)

About 69%

28.

Simplify using one exponent: 83⋅868^3\cdot8^6

a)

b)

c)

d)

29.

a)

A 90° counterclockwise rotation about the origin followed by a reflection across the y-axis

b)

A reflection across the y-axis, followed by a 270° counterclockwise rotation about the origin

c)

A 270° counterclockwise rotation about the origin, followed by a reflection across the y-axis

d)

A reflection across the x-axis, followed by a reflection across the y-axis

30.

Which of the choices is equal to 2.83‾2.\overline{83} in fraction form?

a)

b)

c)

d)

31.

a)

A reflection followed by a translation

b)

A rotation followed by a translation

c)

A translation followed by a dilation

d)

A reflection followed by a dilation

32.

a)

A.

b)

B.

c)

C.

d)

D.

33.

a)

Fifty-five percent of the students polled prefer to exercise in the evening.

b)

Fifty-two percent of the student polled prefer to wake up late.

c)

Of the students who prefer to wake up late, 78% exercise in the evening.

d)

There is an association between waking up late and exercising in the evening.

34.

a)

A.

b)

B.

c)

C.

d)

D.

35.

Solve the equation:

23(9x+3)=35(5x−15)\frac{2}{3}\left(9x+3\right)=\frac{3}{5}\left(5x-15\right)

a)

b)

c)

d)

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