MathsFreePrintable
Algebra Problem-Solving Quest
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Algebra Problem-Solving Quest
📚 Part 1: Quick Multiple Choice
1. Rearrange p + q = 30 to make q the subject.
q = 30 - p
q = p - 30
q = 30p
q = 30 + p
2. Rearrange 3m − n = 12 to make n the subject.
n = 3m - 12
n = 12 - 3m
n = 3m + 12
n = 12m - 3
3. If w = 4, what is w + 12?
8
16
48
12
4. Check all that are like terms:
2x and 5x
3y and y²
4 and 7
6ab and 2ba
✏️ Part 2: Short Answers & Problem Solving
5. Change the subject: Rearrange A = L + 2B to make L the subject.
6. Substitute into the formula from Q5. If A = $100 and B = 15, find L.
7. Collect like terms and simplify: 2x + 5 + 3x − 2 = _________
8. Festival budget problem (two parts):
a) Rearrange C = 45t + 120 to make t the subject. Show steps.
b) If the total cost C is $540, how many tents t can the festival hire?
9. Reflection (one sentence): Which strategy helped you most when rearranging formulas or collecting like terms?
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
