Quick algebra assessments test your understanding of core concepts: equations, variables, functions, and basic operations. Ideal for homework verification, progress checks, or identifying specific skills that need reinforcement. Take a baseline quiz before starting a new chapter, then retest after practicing to measure improvement. Short, focused format helps you pinpoint exactly which algebra techniques you've mastered versus which need more work.
10 sample questions. Expand to see answers and explanations.
1. Solve: 3x + 7 = 22
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Answer
x = 5
Explanation
Subtract 7: 3x = 15. Divide by 3: x = 5. Always isolate variable by doing inverse operations.
Type: multiple choice
2. What is 15% of 80?
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Answer
12
Explanation
0.15 × 80 = 12. Or: (15/100) × 80 = 12. Convert percentage to decimal by dividing by 100.
Type: multiple choice
3. True or False: In y = mx + b, 'b' represents the slope.
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Answer
False
Explanation
False. 'm' is slope, 'b' is y-intercept (where line crosses y-axis). This is slope-intercept form.
Type: true false
4. Simplify: 2(x + 3)
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Answer
2x + 6
Explanation
Distribute 2: 2·x + 2·3 = 2x + 6. Distributive property: a(b + c) = ab + ac.
Type: multiple choice
5. Combine like terms: 5x + 3 - 2x + 7
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Answer
3x + 10
Explanation
Group x terms: 5x - 2x = 3x. Group constants: 3 + 7 = 10. Result: 3x + 10.
Type: multiple choice
6. Evaluate: 2³
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Answer
8
Explanation
2³ = 2 × 2 × 2 = 8. The exponent tells how many times to multiply the base.
Type: multiple choice
7. What is the coefficient of x in 7x - 4?
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Answer
7
Explanation
The coefficient is the number multiplied by the variable. Here, 7 is multiplied by x.
Type: multiple choice
8. Solve: x - 9 = 12
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Answer
x = 21
Explanation
Add 9 to both sides: x = 21. Check: 21 - 9 = 12 ✓
Type: multiple choice
9. True or False: -5 > -3
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Answer
False
Explanation
False. On number line, -5 is left of -3, so -5 < -3. Negatives work opposite to positives.
Type: true false
10. What is the reciprocal of 4?
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Answer
1/4 or 0.25
Explanation
Reciprocal means 'flip' the fraction. 4 = 4/1, so reciprocal is 1/4. Note: 4 × (1/4) = 1.
Type: multiple choice
Workflow
Take quiz cold—no notes—to get honest baseline of current knowledge
Circle problems where you guessed or felt uncertain, even if you got them right
Review explanations for missed items, then do 3-5 similar problems from another source
Retake same quiz 2-3 days later to verify concepts stuck in memory
Tips
Upload your notes, textbook pages, or study material and generate custom practice questions in seconds. Free plan includes 5 generations per month. PDF upload available on Starter plan ($2/mo).
Generate Now — FreeMost quizzes have 8-10 questions covering 2-3 related skills. Length balances thorough assessment with time efficiency—quick enough to complete in one sitting.
Quizzes are shorter (8-10 questions, 10-15 min) and focus on specific skills. Practice tests are longer (20+ questions, 30+ min) and cover broader content for comprehensive review.
Yes. Retaking identical quizzes measures retention. For variety, generate new quizzes on the same topics—different numbers, same concepts—to test transfer of understanding.