8th Grade Math Worksheets

Printable 8th Grade Math Worksheet

An eighth-grade (pre-algebra) practice sheet covering exponents and scientific notation, roots and the number system, linear equations and slope, the Pythagorean theorem, and functions. The answer key prints separately.

Exponents and Scientific Notation

#	Problem
1	Evaluate 2⁵
2	Simplify 3² × 3³
3	Write 45,000 in scientific notation
4	Evaluate 5⁰ + 2³

Roots and the Number System

#	Problem
5	√81 =
6	∛27 =
7	Between which two whole numbers does √50 lie?
8	Is 0.75 rational or irrational?

Linear Equations and Slope

#	Problem
9	Solve 5x - 3 = 2x + 9
10	Solve 3(x - 2) = 12
11	Find the slope of the line through (1, 2) and (3, 8)
12	For y = 2x + 1, find y when x = 5

Pythagorean Theorem and Geometry

#	Problem
13	A right triangle has legs 6 and 8. Find the hypotenuse.
14	A right triangle has legs 5 and 12. Find the hypotenuse.
15	Volume of a cylinder with radius 3 and height 10 (use π ≈ 3.14)
16	A triangle has angles 40° and 75°. Find the third angle.

Functions and Data

#	Problem
17	A function gives y = 4x. Find y when x = 7.
18	What is the slope of y = -3x + 2?
19	Find the mean of 10, 20, 30, 40
20	Solve the system: y = x + 1 and y = 2x - 3

8th Grade Worksheet Answer Key

#	Answer
1	32
2	3⁵ = 243
3	4.5 × 10⁴
4	9
5	9
6	3
7	7 and 8
8	Rational
9	x = 4
10	x = 6
11	3
12	11
13	10
14	13
15	282.6
16	65°
17	28
18	-3
19	25
20	x = 4, y = 5

A Few Worked Examples

Problem 2: when you multiply powers with the same base, add the exponents - $3^2 \times 3^3 = 3^{5} = 243$.

Problem 9: collect the variables on one side - subtract $2x$ from both sides to get $3x - 3 = 9$, add 3 to get $3x = 12$, then divide to get $x = 4$.

Problem 13: by the Pythagorean theorem, the hypotenuse is $\sqrt{6^2 + 8^2} = \sqrt{100} = 10$.

Problem 20: both equations equal $y$, so set them equal - $x + 1 = 2x - 3$ gives $x = 4$, and then $y = x + 1 = 5$.

Make More Worksheets

Check any power with the exponent calculator, convert big and small numbers with the scientific notation calculator, and solve right triangles with the Pythagorean theorem calculator. Step back to the 7th grade math worksheets for review.