Pre-Algebra Readiness Test
A free Pre-Algebra lesson from the “Cumulative Review and Test Prep” unit, with a worked example and practice problems including step-by-step solutions.
The readiness test is a course-level mixed assessment. It samples number sense, decimals, fractions, rates, percents, scientific notation, expressions, equations, inequalities, graphing foundations, angle relationships, geometry, statistics, probability, and word problems. In Cumulative Review and Test Prep, 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 readiness across the full Pre-Algebra course
- Use mixed review strategies without topic labels
- Prepare for Algebra I foundations and graphing
Worked example
Problem. A taxi charges 4 dollars plus 3 dollars per mile. What is the cost for 8 miles?
- The fixed charge is 4 dollars.
- The mileage charge is 3 x 8 = 24 dollars.
- Add them: 4 + 24 = 28.
- Connect the calculation back to Pre-Algebra Readiness Test so the method, not just the arithmetic, is clear.
Answer: 28
Lesson preview: this page shows 5 practice items. The interactive activity contains 40 practice items and 60 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Compute -8 + 13.
Show solution
- Different signs: 13 - 8 = 5.
- The positive number has the larger distance.
Answer: 5
2. Compute 3/4 - 1/8.
Show solution
- Rewrite 3/4 as 6/8.
- 6/8 - 1/8 = 5/8.
Answer: 5/8
3. Find 40% of 75.
Show solution
- 40% is 0.40.
- 0.40 x 75 = 30.
Answer: 30
4. A runner travels 24 miles in 3 hours. What is the unit rate?
Show solution
- Divide miles by hours.
- 24/3 = 8.
Answer: 8
5. Evaluate 5 + 2(9 - 4).
Show solution
- Parentheses first: 9 - 4 = 5.
- 2 x 5 = 10.
- 5 + 10 = 15.
Answer: 15
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