Full-Length 8th Grade Common Core Math Practice Test

A. 24 ft.

B. 27 ft.

C. 57 ft.

D. 48 ft.

7- Mike is 7.5 miles ahead of Julia running at 5.5 miles per hour and Julia is running at the speed of 8 miles per hour. How long does it take Julia to catch Mike?

A. 2 hours

B. 5.5 hours

C. 7.5 hours

D. 3 hours

8- A company pays its employer $7,000 plus \(2\%\) of all sales profit. If \(x\) is the number of all sales profit, which of the following represents the employer’s revenue?

A. \(0.02x\)

B. \(0.98x-7,000\)

C. \(0.02x+7,000\)

D.  \(0.98x+7,000\)

9- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(68\%\), \(72\%\), \(85\%\), and \(90\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

10- If \(25\%\) of a number is 8, what is the number?

A. 30

B. 34

C. 32

D. 36

11- An angle is equal to one-fifth of its supplement. What is the measure of that angle?

A. 20

B. 30

C. 45

D. 60

12- Which graph shows linear equation \(y=-2x+1\)?

A.

B.

C.

D.

13- What is the solution of the following system of equations?
\(\begin{cases}\frac{-x}{2}+\frac{y}{4}=1\\\frac{-5y}{6}+2x=4\end{cases}\)

A. \(x=48,y=22\)

B. \(x=50,y=20\)

C. \(x=20,y=50\)

D. \(x=22,y=48\)

14- Which of the following values for x and y satisfy the following system of equations?
\(\begin{cases}x+4y=10\\5x+10y=20\end{cases}\)

A. \(x=3,y=2\)

B. \(x=2,y-3\)

C. \(x=-2,y=3\)

D. \(x=3,y=-2\)

15- The average of 21, 18, 16 and \(x\) is 20. What is the value of \(x\)?

A. 23

B. 25

C. 30

D.  20

16- Which of the equation represents the compound inequality?
\(5≤3x-1<11\)

A. \(3≤x<5\)

B. \(2≤x<4\)

C. \(2≤x<6\)

D. \(1≤x<4\)

17- Point A \((–2,6)\) and point B \((13,-2)\) are located on a coordinate grid. Which measurement is closest to the distance between point A and point B?

A. 8 units

B. 13 units

C. 15 units

D. 17 units

18- Point A \((9,7)\) and point B \((4,-5)\) are located on a coordinate grid. Which measurement is closest to the distance between point A and point B?

A. 8 units

B. 13 units

C. 15 units

D. 17 units

19- In the \(xy\)-plane, the point \((-8,8)\) and \((4,-10)\) are on line A. Which of the following equations of lines is parallel to line A?

A. \(y=\frac{3}{2} x+4\)

B. \(y=\frac{x}{2}-3\)

C. \(y=2x+4\)

D. \(y=-\frac{3}{2} x-4\)

20- What is the \(x\)-intercept of the line with equation \(10x-4y=5\)?

A. \(-5\)

B. \(-2\)

C. \(\frac{1}{2}\)

D. \(\frac{5}{4}\)

21- Giselle works as a carpenter and as a blacksmith. She earns $20 as a carpenter and $25 as a blacksmith. Last week, Giselle worked both jobs for a total of 30 hours and earned a total of $690. How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?

A. (12, 20)

B. (10, 18)

C. (12, 18)

D. (14, 16)

22- Which of the following values for x and y satisfy the following system of equations?
\(\begin{cases}3x+y=8\\-5x-2y=0\end{cases}\)

A. \(x=16,y=20\)

B. \(x=-16,y=35\)

C. \(x=12,y=40\)

D. \(x=16,y=-40\)

23- A ride in a taxicab costs $1.25 for the first mile and $1.15 for each additional mile. Which of the following could be used to calculate the total cost \(y\) of a ride that was \(x\) miles?

A. \(x=1.25(y-1)+1.15\)

B. \(x=1.15(y-1)+1.25\)

C. \(y=1.25(x-1)+1.15\)

D. \(y=1.15(x-1)+1.25\)

24- A caterer charges $120 to cater a party for 15 people and $200 for 25 people. Assume that the cost, \(y\), is a linear function of the number of \(x\) people. Write an equation in slope-intercept form for this function. What does the slope represent? How much would a party for 40 people cost?

A. $280

B. $330

C. $300

D. $320

25- An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write a linear equation representation of the cost of hiring this attorney. Find the charge for 25 hours of work.

A. $4,000.00

B. $4,200.00

C. $3,800.00

D. $4,600.00

26- The sum of two numbers is 30. One of the numbers exceeds the other by 8. Find the numbers.

A. 9, 15

B. 12, 20

C. 10, 18

D. 11, 19

27- How is this number written in scientific notation?
0.0000005823

A. \(0.5823× 10^{-10}\)

B. \(5.823 × 10^{-6}\)

C. \(5.823 × 10^{-7}\)

D. \(58.23 × 10^{-5}\)

28- How is this number written in scientific notation?
28,000,000,000

A. \(2.8×10^9\)

B. \(2.8×10^{10}\)

C. \(28×10^{12}\)

D. \(2.8×10^8\)

29- Calculate the area shaded region.

A. \(2,950 \space mm^2\)

B. \(2,940 \space mm^2\)

C. \(3,000 \space mm^2\)

D. \(2,930 \space mm^2\)

30- A circle is graphed on a coordinate grid and then reflected across the \(y\)–axis. If the center of the circle was located at \((x,y)\), which ordered pair represents the new center after the transformation?

A. \((x,y)\)

B. \((x,-y)\)

C. \((-x,y)\)

D. \((-x,- y)\)

31- Jason built a rectangular tool shed that is 9 meters wide and has an area of 117 square meters. What is the length of Jason’s tool shed?

A. 10

B. 14

C. 13

D. 11

32- What is the estimated area of the shaded region?

A. \(11 \space cm^2\)

B. \(42 \space cm^2\)

C. \(153 \space cm^2\)

D. \(196 \space cm^2\)

33- Calculate the area of the shaded region.

A. \(6.5 \space m^2\)

B. \(6.86 \space m^2\)

C. \(7.3 \space m^2\)

D. \(6.95\space m^2\)

34- What is the median of these numbers?
\(32,33,65,12,45,95,82,65,48,72\)

A. 57

B. 58

C. 55

D. 56.5

35- What is the median of these numbers? \(1,3,9,5,11,15,26,14,18\)

A. 12

B. 11

C. 14

D.  10

36- What is the product of all possible values of \(x\) in the following equation?\(|-3x+4|=26\)

A. 12

B. 9

C. 11

D. 10

37- Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 24,400

B. 21,000

C. 21,300

D. 25,200

38- What is the area of the figure?

A. 112.5

B. 110

C. 115

D. 112

39- Find Volume of Pyramid?

A. \(2,592 \space cm^3\)

B. \(2,682 \space cm^3\)

C. \(2,590 \space cm^3\)

D. \(2,400 \space cm^3\)

40- 25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?

A. 500

B. 620

C. 610

D. 600

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