Print out your 8th grade math test before you begin, then try to answer all of the questions.


Name Date: _____________________

Solve the following problems

1.

a. 57th × 5-10 =

A. 1/3 BB 5-2C. 1/125 DD 5-17

2.

If 2x3rd = 54, what is x?

A. 1 BB 5 C. 2 DD 3rd

3.

a. The answer for 20,000,000 × 3.5 × 1,000,000 in scientific notation is

(Hint: put 20000000 and 1000000 in scientific notation first.)

A. 7 × 1013thBB 3.5 × 1013thC. 2 × 1013thDD 7 × 1012th

b. 0.0004 × 4000 as a decimal number is ___________ and as a fraction is ____________

4th

a. Which set contains only rational numbers?

A. {√ (49), √ (7), 1/2, 9/5}
BB {√ (121), 12/5, √ (169), 0.333333333333}
C. {4 × √ (5), 2, √ (100), 0}

b. Pull out all of the irrational numbers from each sentence above and write them down here.

_______________________________________________________

5.

To go to school do you have to walk 6 miles east and then 8 miles north?

a. Draw a figure that represents your journey from home to school

b. Draw a line that represents the shortest distance you could travel. Then calculate this distance _________________

6th

The formula for the area of ​​a circle is shown below

A = pi × r2

a. Which of the following is the correct expression for r or the radius in relation to A and pi?

A. r = √ (A / 2pi) BB r = √ (2A / pi) C. r = √ (pi / A) DD r = √ (A / pi)

Use the correct formula you found in part a and pi = 3 to find r when A = 48 square feet.

r = __________________

7th

A company charges a flat fee of $ 1,500 to rent a yacht. In addition, tenants must pay $ 100 an hour.

a. Which equation shows the cost C for renting a yacht for h hours?

A. C = 100 + 1500 × h BB C = 1500 × h C. C = 100 x h + 1500 DD C = 100 × h + 1500 × h

b. How much would it cost to rent a yacht for 5 hours?

c. How high are the costs? What is the y-intercept?

d. Using the answers for c, plot the cost in the coordinate system.

8th.

Escalator 1 has a rise of 6 and a run of 4. Escalator 2 has a rise of 12 and a run of 6. Do the escalators have the same incline? Explain with math calculations.

9.

Celita has a garden in the shape of a square. How does the area change when it triples the length of each side?

A. The area of ​​the garden is tripled BB The area of ​​the garden is not duplicated C. halved DD sextupled

10.

Find the volume of a cone that is 8 inches in radius and 3 inches in height.

(Hint: use v = 1/3 (pi × r2 × h)

11.

Examples of the correlation

a. Look at the figure above, then say which graph (s) show the following correlation.

Positive correlation. ____________
Negative correlation_____________
No correlation___________

b. What kind of correlation is the following situation?

Number of gallons of gasoline in your car and the distance you can travel ___________________

Number of oranges you can eat and size ___________________

Number of students attending a concert and the income generated .____________________

c. If a scatter plot shows a negative correlation, which line of best fit could the scatter plot represent?

A. y = x – 5 BB y = -1000x + 5000 C. y = 100x – 7 DD y = 5

12th

What is the equation of a line with a slope of 3/5 and a y-intercept of 2?

A. 5y + 3x = 10 BB 5x – 3y = 10 C. 5y – 3x = 10 DD 5x + 3y = 10

13th

The triangle ABC has corner points (1,1), (3,5) and (5, 3). This triangle is expanded by a factor of 3. What are the pictures of the 3 corner points? Graphic ABC and the image A’B’C ‘

14th

The diagonal of a square computer screen is 50 inches. What is the scope of this TV? ______________

fifteen.

100 students take a survey to see what kind of ice cream people in America like to eat.

Which of the following will be the most probably Error in the survey?

A. Some students were not born in the United States

BB The students weren’t young enough

C. The survey may not include people who travel 50 miles to get ice cream

DD Choose students from different schools.

16.

Which statement shows the similarity between the following 2 graphics?

4y = 2x + 0.5 and 4y = 5x + 1/2

A. The y-sections are the same

BB The graphics are identical

C. The x sections are the same

DD The slopes are the same

17th

Below are 3 equations

1) 4x -2x + 1 = -1 + 2 + 2x

2) 2x – 2 = 6 – 4 + 4x

3) 5 + 3x = 2 + 3x + 5

Solve all equations, then say

Which equation has 1 solution _______________, no solutions _______________, infinite number of solutions ______________

18th

A tree is 8 feet tall and casts a shadow that is 6 feet. a. If your child is 4 feet tall, what equation can you use to find the length of their shadow?

a. What is the ratio with which you can solve this problem?

A. 8/5 = 6 / x BB 4/6 = x / 8 C. 8/4 = 6 / x DD x / 4 = 8/6

b. How long is the shadow _______________

19th

Solve the following equations.

2x + 4y = 8

4x – 4y = 6

a. through graphical representation

b. algebraic

20th

The cup below is 2/3 full. How much water can the cup hold? _____________

How much water can the cup hold?

Things To Look For On This 8th Grade Math Test.

Note: A score of 16 or more on this 8th grade math test is a good indication that most of the skills taught in 8th grade have been mastered

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