SHSAT · Practice from the ASPIRE question bank, not an official form. No score is guaranteed.
Free SHSAT algebra word problems practice questions
Free SHSAT algebra word problems practice questions: free samples from the ASPIRE question bank, not an official SHSAT form. Take the free Explorer diagnostic with no credit card. One diagnostic and 50 practice questions a month are included.
The diagnostic is on the free Explorer plan. No credit card. One diagnostic and 50 practice questions a month are included.
← Free SHSAT practice questions
Sample questions
5 items from the ASPIRE practice bank. More are in the app.
A number increased by 8 equals 23. What is the number?
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Answer: C. 15. Let the number be x. Write the equation: x + 8 = 23. Subtract 8 from both sides: x = 15. Verify: 15 + 8 = 23 ✓ Tip: define one variable, write two equations from the story, then solve. SHSAT rewards setup as much as arithmetic.
Tom is 4 years older than Sarah. In 5 years, Tom will be twice Sarah's current age. How old is Sarah now?
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Answer: D. 9. Let Sarah's current age be x. Tom's current age is (x + 4). In 5 years, Tom will be (x + 4 + 5) = (x + 9) years old. The equation is: x + 9 = 2x (Tom's age in 5 years equals twice Sarah's current age). Solve: 9 = x. So Sarah is currently 9 years old. Check: Tom is 13 now, in 5 years he'll be 18 = 2(9) ✓
A jacket is on sale for 25% off. If the sale price is $60, what was the original price?
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Answer: B. $80. If the jacket is 25% off, the sale price is 75% of the original. Let x = original price. Equation: 0.75x = 60. Divide by 0.75: x = 60/0.75 = 80. The original price was $80. Check: 25% of $80 = $20 discount, so $80 - $20 = $60 ✓
A company charges $50 per month plus $3 per gigabyte of data used. If your bill was $89, how many gigabytes did you use?
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Answer: C. 13 GB. Set up equation: 50 + 3g = 89, where g is gigabytes. Subtract 50: 3g = 39. Divide by 3: g = 13. Check: $50 + 3($13) = $50 + $39 = $89 ✓ Tip: define one variable, write two equations from the story, then solve. SHSAT rewards setup as much as arithmetic.
A store sells pencils at 3 for $2. How much will 15 pencils cost?
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Answer: C. $10. If 3 pencils cost $2, find the cost per pencil: $2 ÷ 3 = $2/3 per pencil. For 15 pencils: 15 × ($2/3) = $30/3 = $10. Alternatively: 15 pencils = 5 groups of 3 pencils. Cost = 5 × $2 = $10 ✓