8th grade Math practice sheet
Minnesota K-12 Academic Standards · from Gradelings · Name: ______________________
Question 1
What is 13²?
answer box
169
Hint: 13² means 13 × 13 = 169.
Question 2
Solve for x: 3x + 8 = 32
answer box
8
Hint: Undo the addition first: 3x = 32 − 8 = 24. Then divide by 3: x = 8.
Question 3
A right triangle has legs of 20 cm and 21 cm. How long is the hypotenuse?
answer boxcm
29 cm
Hint: c² = a² + b² = 400 + 441 = 841, so c = √841 = 29 cm.
Question 4
Which describes √2 = 1.41421356…?
- rational, because it can be rounded
- an integer, because it starts with 1
- irrational, because it never ends and never repeats
- rational, because it is a decimal
irrational, because it never ends and never repeats
Hint: Rounding a number does not change what kind of number it is. √2 cannot be written as a fraction.
Question 5
On a scatter plot, as the x-values increase, the y-values go down. The points are loosely scattered around a line. How would you describe the relationship?
- strong negative
- strong positive
- weak negative
- weak positive
weak negative
Hint: Positive means both go up together; negative means one goes up as the other goes down. Strong means the points are close to a line.
Question 6
The table shows a linear relation. What number goes in place of the ?
Table of values x y 0 -3 1 1 2 5 3 9 4 ? answer box
13
Hint: Look at how y changes each time x goes up by 1. It changes by 4, so y = 13 when x = 4.
Question 7
Dev wrote 4(x + 6) = 24 as 4x + 6 = 24. What went wrong?
- He should have subtracted 4 from both sides.
- He multiplied only x by 4. The 6 must be multiplied by 4 too.
- He should have divided by x first.
- Nothing. The two equations are equivalent.
He multiplied only x by 4. The 6 must be multiplied by 4 too.
Hint: The 4 outside the brackets multiplies everything inside: 4(x + 6) = 4x + 24.
Question 8
Simplify 4⁸ × 4⁹.
- 4¹⁷
- 16¹⁷
- 4¹
- 4⁷²
4¹⁷
Hint: When you multiply powers with the same base, add the exponents.
Question 9
Adult tickets cost $8 and child tickets $4. 9 tickets cost $60 in all. How many adult tickets were sold?
- 3
- 7
- 6
- 5
6
Hint: Let a + c = 9 and 8a + 4c = 60. Substitute c = 9 − a.
Question 10
Which equation is a linear function?
- y = 2ˣ
- y = x
- y = x²
- y = x³ + 1
y = x
Hint: A linear function has the form y = mx + b: x is not squared, cubed, an exponent or under a fraction bar.
Answer key
- 1. 169 (Squares, Cubes & Roots)
- 2. 8 (Patterns & Two-Step Equations)
- 3. 29 cm (Pythagorean Theorem)
- 4. irrational, because it never ends and never repeats (Big, Small & Real Numbers)
- 5. weak negative (Scatter Plots & Stories)
- 6. 13 (Tables, Graphs & Linear Relations)
- 7. He multiplied only x by 4. The 6 must be multiplied by 4 too. (Equations with Brackets)
- 8. 4¹⁷ (Exponent Rules)
- 9. 6 (Systems of Equations)
- 10. y = x (Functions)
Want more than 10 questions?
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