Pre-Algebra Midterm Exam
A free Pre-Algebra lesson from the “Algebra Readiness” unit, with a worked example and practice problems including step-by-step solutions.
The midterm covers Units 1-4: integers, factors and multiples, fractions, ratios, rates, percents, decimals, scientific notation, roots, the real number system, proportions, unit conversions, order of operations, expressions, equations, and inequalities. Problems are mixed and unlabeled, just like a real exam. 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
- Demonstrate mastery of the first half of Pre-Algebra (Units 1-4)
- Apply number sense, decimals, proportional reasoning, and algebra-readiness skills without topic labels
- Build test-taking stamina with a 25-question mixed assessment
Worked example
Problem. A 40 dollar shirt is 30% off. What is the sale price?
- Find 30% of 40: 0.30 x 40 = 12.
- Subtract the discount from the original price.
- 40 - 12 = 28, so the sale price is 28 dollars.
- Connect the calculation back to Pre-Algebra Midterm Exam so the method, not just the arithmetic, is clear.
Answer: 28
Lesson preview: this page shows 5 practice items. The interactive activity contains 30 practice items and 50 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Compute -6 + 10.
Show solution
- The signs are different.
- 10 - 6 = 4, and the positive number is farther from zero.
Answer: 4
2. Compute 3/5 + 1/5.
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- Same denominator: add the numerators.
- 3 + 1 = 4, so the answer is 4/5.
Answer: 4/5
3. Find 20% of 50.
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- 20% is 0.20.
- 0.20 x 50 = 10.
Answer: 10
4. Evaluate 2 + 3 x 4.
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- Multiply first: 3 x 4 = 12.
- 2 + 12 = 14.
Answer: 14
5. Solve x + 8 = 15.
Show solution
- Subtract 8 from both sides.
- 15 - 8 = 7.
Answer: 7
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