10 Algebra Problems for 7th Graders
7th grade math introduces important algebra skills that help students build a strong foundation for future learning. These 10 algebra problems support students as they master the key algebra concepts taught in 7th grade.
Author
Tess Loucka
Published:
February 2026
Key takeaways
- • Students going into 7th grade need to be able to perform addition, subtraction, multiplication, and division with large numbers.
- • 7th grade math primarily focuses on pre-algebra.
- • Practice problems can be used to test where students are and better plan future lessons based on their unique needs.
7th grade is the year students are expected to make the jump from an elementary understanding of numbers and their properties to total confidence with more advanced concepts.
While 6th grade introduces several new concepts, including percentages, volume, and statistics, 7th graders must strengthen these skills and view them with a new mindset—an algebraic mindset.
That’s because 7th grade is all about algebra!
During this stage, students learn to interpret inequalities and solve multi-step equations. They begin to recognize rational and irrational numbers. And they start calculating tips, percentages, debt/loans, and more—allowing them to apply their learning to real-world situations.
Although 7th grade algebra math is full of unique and interesting topics, they all require students to have a sturdy foundational understanding of the four basic operations—addition, subtraction, multiplication, and division.
Without this, students may struggle to keep up. So, always review, practice, and study simple math. It’s what makes up everything else!
How to set your child up for success in the 7th grade
The most important thing you can do to help a student feel comfortable going into 7th grade algebra is to solidify their understanding of adding and subtracting large numbers (without using their fingers) and give them a strong system for performing multiplication and division.
To make addition and subtraction easier, students can learn about the “partners of 10” rule.
Students should also know how to perform multiplication using the stacking method and the box method.
Lastly, students must feel comfortable performing long division.
With these basic skills in their toolkit, students will be able to face new math concepts confidently, knowing that they have a strong mathematical foundation to rely on.
The following 7th grade algebra problems cover the most prominent math concepts introduced during the year. This includes percentages, fractions, decimals, one- and two-step equations, and LCM.
They can be used as practice for students already in the 7th grade, those about to be, or those just looking for review.
If you’re an educator, use the following 7th grade algebra problems to see where your students are and what topics they need more practice on.
Table of contents
10 Algebra Problems for 7th Graders (with Answers)!
1. What is -38 – 12?
Answer
Subtracting from a negative number works like adding absolute values and keeping the negative sign.
2. Solve for c: ⅘ = 12 / 3c
Answer
c = 5
Cross multiply:
4 × 3c = 12 × 5
12c = 60
c = 5
3. Solve using the order of operations: 8 + 3(10 ÷ 2) − 4
Answer
8 + 3(10 ÷ 2) − 4
→ 8 + 3(5) − 4
→ 8 + 15 − 4
→ 23 − 4 = 19
4. Solve using the order of operations: 25 × 4(1 + 1) + 10 ÷ 5 + 2
Answer
Parentheses → 1+1=2
Multiplication → 25×4×2 = 200
Division → 10 ÷ 5 = 2
Final → 200 + 2 + 2 = 204
5. Amy is choosing between two sneakers after discounts. Which pair is cheaper?
Answer
Red: 115 − 34.50 = 80.50
Black: 90 − 13.50 = 76.50
→ 76.50 is cheaper
6. Solve the one-step equation: 8 + x = 13
Answer
7. Solve the two-step equation: 34x + 8 = 76
Answer
34x = 68 → x = 2
8. A gym membership cost $25 in 1998. After a 10% increase (2010) and 15% increase (2025), what is the new price?
Answer
10% of 25 = 2.50 → 27.50
15% of 27.50 = 4.125
Total = 31.625 → $31.63
9. Kendall’s aunt visits every 10 weeks, grandma visits every 15 weeks. When will both visit again?
Answer
LCM of 10 and 15 = 30
10. Lisa’s pie: 4/7 was eaten at dinner, mom ate 1/2 of what remained the next day. How much pie does Lisa get?
Answer
Remaining after dinner: 3/7
Mom ate 1/2 × 3/7 = 3/14
Lisa gets 3/14
Struggling with some of the problems above? Don’t worry! Every student learns at their own pace. The important thing is that you keep making an effort to learn.
For practice with specific topics or for a deeper dive into 7th grade algebra as a whole, you can explore math articles, practice questions, and games through online websites, math program, and other resources.
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.