10 Algebra Problems for 8th Graders
8th grade algebra deepens students’ understanding of equations, functions, and problem‑solving. These 8th grade algebra problems give students the support they need to master the key topics taught in 8th grade.
Author
Tess Loucka
Published:
February 2026
Key takeaways
- • Students should be familiar with percents, decimals, fractions, and graphing before 8th grade algebra.
- • 8th grade students will learn to identify and graph linear functions.
- • 8th-grade algebra prepares students for what they will encounter in high school math and is sometimes referred to as pre-algebra.
For many students, 8th grade is a busy year. With high school just around the corner, it’s easy to feel overwhelmed. For those students taking the high school entry exams and Regents exams, those feelings can multiply.
Math is one of those topics that some students love and some hate, with few falling in between. Regardless of which side of the spectrum you’re on, it is essential to master 8th grade algebra so that students can enter high school with confidence.
By the end of 8th grade algebra, students will be able to:
- Use and graph functions to compare relationships between quantities.
- Graph linear relationships and understand slopes, y-intercepts, and slope-intercept form.
- Solve equations and inequalities with multiple variables and variables on both sides.
- Work with rational and irrational numbers.
- Work with square and cube roots.
Use scientific notation to write out long numbers.
How to set your child up for success in the 8th grade
Not every student learns at the same pace. However, going into 8th grade algebra with certain skills can set students up for greater success.
So, what skills should students have before starting 8th grade algebra?
Primarily, students should feel comfortable performing the four basic operations (addition, subtraction, multiplication, and division) on positive and negative numbers. They should be able to work with decimals, fractions, and percentages, and locate them on a number line.
Additionally, students should know how to solve basic one- and two-step equations, and should have some familiarity with the coordinate plane.
The following 10 8th grade algebra problems cover the most important topics to know. Whether you’re in 8th grade now, planning to be, or have already graduated, use these problems for review, practice, and further learning.
Table of contents
10 Algebra Problems for 8th Graders (with Answers)!
Solve for x: 6(x + 4) = -2(x – 24)
Answer
To solve:
6(x + 4) = -2(x – 24)
6x + 24 = -2x + 48
+2x +2x
8x + 24 = 48
-24 -24
8x = 24
x = 3
Solve for n in this inequality: -6n – 3 ≤ -9
Answer
Work:
-6n – 3 ≤ -9
+3 +3
-6n ≤ -6
Divide by -6 and flip inequality
n ≥ 1
Write the equation of the line shown below (slope-intercept form).
Answer
Explanation:
Slope = (0 − 12) / (−4 − 2) = −12 / −6 = 2
Y‑intercept = 8
Equation → y = 2x + 8
Solve and write your answer as a mixed fraction: -4/7 − 5/8
Answer
Work:
LCD = 56
-32/56 − 35/56 = -67/56
-67 ÷ 56 = -1 r 11
-1 11/56
Which set of ordered pairs is a function?
- A: {(1, 3), (2, 5), (3, 8), (4, 12)}
- B: {(3, 5), (4, 4), (4, 3), (5, 1)}
Answer
Set B has x = 4 mapping to two y-values → not a function.
Does the following graph represent a function?
Answer
x = -2 has multiple y‑values → fails vertical line test.
What is √225 × 10?
Answer
√225 = 15
15 × 10 = 150
Convert 1.480 × 10⁻⁶ to standard form.
Answer
Move decimal 6 places left.
Michael goes to the movies twice per month. Next year he wants to go twice as much. How many times will he go?
Answer
Jamie bought popsicles and ice cream sandwiches. How much would 7 ice cream sandwiches cost?
Answer
Solve system → s = 0.75
7 × 0.75 = 5.25
For more practice with 8th grade algebra problems, consider using online math programs, or courses that allow students to learn at the pace that feels right for them. With some extra practice, nothing you find in a math classroom can hold you back!
About the Author
Tess Loucka
Tess Loucka discovered her passion for writing in high school and has not stopped writing since. Combined with her love of numbers, she became a math and English tutor, focusing on middle- and high-school-level topics. Since graduating from Hunter College, her goal has been to use her writing to spread knowledge and the joy of learning to readers of all ages.