Algebra Readiness Checkpoint
A free Pre-Algebra lesson from the “Algebra Readiness” unit, with a worked example and practice problems including step-by-step solutions.
This checkpoint mixes the algebra-readiness skills that prepare students for Algebra I: simplifying expressions, solving equations, evaluating powers, and interpreting inequalities. In Algebra Readiness, the goal is not just to get an answer but to recognize the structure of the problem, choose a reliable strategy, and explain why the result is reasonable. The practice set now includes targeted skill work, transfer questions, and mixed review so students build fluency and retention.
What you'll learn
- Review expressions, equations, inequalities, and order of operations
- Move flexibly between arithmetic and algebra
- Check solutions in context
Worked example
Problem. Solve 3x + 4 = 22.
- Subtract 4 from both sides: 3x = 18.
- Divide both sides by 3.
- x = 6.
- Connect the calculation back to Algebra Readiness Checkpoint so the method, not just the arithmetic, is clear.
Answer: 6
Lesson preview: this page shows 5 practice items. The interactive activity contains 25 practice items and 25 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Evaluate 2 + 3^2 x 4.
Show solution
- Exponent first: 3^2 = 9.
- Multiply: 9 x 4 = 36.
- Add 2 to get 38.
Answer: 38
2. Simplify 5x + 2x - 9.
Show solution
- Combine like terms.
- 5x + 2x = 7x.
Answer: 7x - 9
3. Evaluate 4a - 5 when a = 6.
Show solution
- Substitute 6 for a.
- 4(6) - 5 = 19.
Answer: 19
4. Solve x + 14 = 31.
Show solution
- Subtract 14 from both sides.
- x = 17.
Answer: 17
5. Solve 5n = 45.
Show solution
- Divide both sides by 5.
- n = 9.
Answer: 9
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