Is the relation (1, 4), (2, 5), (1, 6), (3, 7) a function?

No, the input 1 has two outputs

Yes, the outputs are all different

No, the outputs are not in order

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8th grade math practice questions, with answers

Written by Dr. Evan J. Hasson, DC — a dad of three who built this curriculum for his own kids.

25 questions with the answers, free to print and free to photocopy for your own students. Questions taken from the curriculum itself rather than generated — fractions, area and perimeter, time, rounding, comparing — the reasoning a grade actually covers, not only the number facts.

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Math — Grade 8

25 questions · answers marked25 questions · answers hidden

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NameDateScore / 25

1. Simplify 3^2 × 3^5. Write the answer as a power of 3.
1. A. 3^7 ← Answer
2. B. 3^10
3. C. 9^7
4. D. 3^3
2. Find the slope of the line through (2, 3) and (6, 11).
1. A. 4
2. B. 1/2
3. C. 2 ← Answer
4. D. 8
3. Solve the system: y = x + 2 and y = 2x - 1.
1. A. (5, 3)
2. B. (3, 5) ← Answer
3. C. (3, 4)
4. D. (1, 3)
4. Is the relation (1, 4), (2, 5), (1, 6), (3, 7) a function?
1. A. No, the input 1 has two outputs ← Answer
2. B. Yes, every input has an output
3. C. Yes, the outputs are all different
4. D. No, the outputs are not in order
5. A point at (3, -2) moves 4 units left and 5 units up. Where does it land?
1. A. (-1, -7)
2. B. (-1, 3) ← Answer
3. C. (7, 3)
4. D. (7, -7)
6. A right triangle has legs of 3 cm and 4 cm. How long is the hypotenuse?
1. A. 7 cm
2. B. 5 cm ← Answer
3. C. 1 cm
4. D. 25 cm
7. Is √49 rational or irrational?
1. A. rational ← Answer
2. B. irrational
3. C. both
4. D. neither
8. A scatter plot compares a car's age with its value. As age goes up, value tends to go down. What kind of association is this?
1. A. no association
2. B. negative association ← Answer
3. C. nonlinear association
4. D. positive association
9. Simplify 5^6 ÷ 5^4. Write the answer as a power of 5.
1. A. 5^2 ← Answer
2. B. 5^24
3. C. 1^2
4. D. 5^10
10. In the equation y = 9x, what is the slope?
1. A. 9 ← Answer
2. B. 0
3. C. 1/9
4. D. 9x
11. Solve the system: x + y = 10 and x - y = 4.
1. A. (3, 7)
2. B. (6, 4)
3. C. (14, 0)
4. D. (7, 3) ← Answer
12. For the function y = 2x - 3, what is the output when the input is 7?
1. A. 4
2. B. 11 ← Answer
3. C. 14
4. D. 17
13. Reflect the point (4, 7) across the x-axis.
1. A. (7, 4)
2. B. (-4, -7)
3. C. (-4, 7)
4. D. (4, -7) ← Answer
14. A right triangle has a hypotenuse of 13 inches and one leg of 5 inches. How long is the other leg?
1. A. 14 inches
2. B. 8 inches
3. C. 18 inches
4. D. 12 inches ← Answer
15. Write 0.777... as a fraction.
1. A. 7/100
2. B. 77/100
3. C. 7/10
4. D. 7/9 ← Answer
16. A trend line is y = 5x + 50, where x is hours studied. What score does it predict for 6 hours?
1. A. 35
2. B. 56
3. C. 80 ← Answer
4. D. 300
17. Simplify (2^3)^2. Write the answer as a power of 2.
1. A. 2^9
2. B. 2^5
3. C. 2^6 ← Answer
18. Find the slope of the line through (1, 9) and (5, 9).
1. A. 0 ← Answer
2. B. 4
3. C. 9
19. Is (2, 3) a solution of 2x + 3y = 13 and x - y = -1?
1. A. No, it fails the first equation
2. B. No, it fails the second equation
3. C. Yes ← Answer
20. Is the relation (1, 5), (2, 5), (3, 5) a function?
1. A. Yes ← Answer
2. B. No, the inputs are not different
3. C. No, the outputs repeat
21. Reflect the point (4, 7) across the y-axis.
1. A. (-4, -7)
2. B. (4, -7)
3. C. (-4, 7) ← Answer
22. Is a triangle with sides 7, 24 and 25 a right triangle?
1. A. No
2. B. Only if the sides are equal
3. C. Yes ← Answer
23. Between which two consecutive whole numbers is √50?
1. A. 8 and 9
2. B. 6 and 7
3. C. 7 and 8 ← Answer
24. Which point is an outlier in (1, 3), (2, 5), (3, 7), (4, 20), (5, 11)?
1. A. (1, 3)
2. B. (5, 11)
3. C. (4, 20) ← Answer
25. What is the value of 7^0?
1. A. 0
2. B. 1 ← Answer
3. C. 7
4. D. 14

UpOnly Learning · uponlylearning.com · free to print and photocopy for your own studentsMath — Grade 8

UpOnly Learning · uponlylearning.com · Math Grade 8

From the workbook

A real page of Math · Grade 8

Power Up: Exponents, Roots and Really Big Numbers

The student will apply the properties of integer exponents (including zero and negative exponents), solve x^2 = p and x^3 = p using square and cube roots, and read, write and compute with numbers in scientific notation. · 40 min

Warm-up — say this

“Exponents are a shortcut for repeated multiplying, and they let scientists write gigantic and tiny numbers without drowning in zeros.”

Worked example

Simplify 2^-3 × 2^5.

Answer: Same base, so add the exponents: -3 + 5 = 2. The answer is 2^2 = 4.

A mistake students make

5^-2 is a negative number, like -25.

How the book fixes it

A negative exponent means divide, not make negative. Use the pattern 5^1 = 5, 5^0 = 1, 5^-1 = 1/5, 5^-2 = 1/25. So 5^-2 = 1/25, a small positive number.

Note to the parent

When your student is unsure about an exponent rule, have them write out the repeated multiplication with a small example like 2^3 × 2^2. Rebuilding the rule is more reliable than memorizing it.

That is one topic of many. The free questions above check a skill; this is the part that teaches it.

Practice checks. Our math workbooks teach.

These questions check a skill. The workbook teaches it.

TeachesA 40-minute lesson per topic that tells you what to say.
ExplainsWorked examples and the common mistakes, with fixes.
ReviewsAnswers with short explanations, and fresh questions.
PlansEvery topic in teaching order, matched to the standards.

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What do the paid workbooks add?

These questions check a skill. The workbook teaches it: a forty-minute lesson that tells you what to say, two worked examples, the two mistakes students actually make on that skill and how to correct each one, and an explanation beside every answer rather than a bare key.