Question 1Mid
How many integers satisfy ?
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Answer: C — 18
Multiplying by 3 gives . Adding 5 gives , so can be any integer from 0 through 17. There are 18 integers.
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Inequalities — SHSAT practice questions
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Practice 114 Inequalities questions in the app
What this topic is
Inequalities on the SHSAT Mathematics section cover writing and solving comparison statements that use less than, greater than, or the inclusive versions of those relations.
A student must translate a word problem, such as a budget for buying items, into an inequality, solve a linear inequality, and count the integers or positive integers that satisfy it. The exam typically asks which inequality represents a situation or how many integer values work.
Traps include reversing the inequality when multiplying by a negative, mixing open and closed signs, and counting the wrong set of integers. Choices usually show rival inequalities or possible counts.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
Question 2Easier
Maya has $15 to spend on notebooks that cost $3 each. Which inequality represents , the number of notebooks she can buy?
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Answer: A —
Each notebook costs $3, so notebooks cost dollars, which must be at most 15: .
Question 3Mid
How many positive integers satisfy ?
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Answer: B — 4
gives , so . The positive integers less than 5 are , which is 4 values.
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More SHSAT topics
Mathematics
- Number system and operations
- Ratios, unit rates, and proportional relationships
- Percentages (incl. percent change)
- Exponents and scientific notation
- Algebraic expressions
- Linear equations and slope
- Systems of equations
- Functions
- Angles and lines
- Triangles and the Pythagorean theorem
- Area, perimeter, volume, and surface area
- Coordinate plane and distance
- Scale drawings and transformations
- Statistics (center, spread, plots)
- Probability and counting
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