Question 1Easier
In a sequence, let represent the 6th term and represent the 12th term. The 12th term is 1 more than twice the 6th term. Which equation expresses in terms of ?
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Answer: A —
Twice the 6th term is . Adding 1 gives .
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Mathematics
Algebraic expressions — SHSAT practice questions
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What this topic is
Turning words into symbols, then simplifying or evaluating the result, is the work of these questions.
Phrases need careful translation: one more than twice a number is two n plus one, while twice one more than a number is two times the quantity n plus one. Algebraic expressions also reward the distributive property as a shortcut, since pulling out a common factor can turn a long sum of products into one easy multiplication.
Some items ask which point or value satisfies given conditions, which means substituting each choice and checking it. Combining like terms and keeping track of negative signs prevents most errors.
Sample questions
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Question 2Easier
A school store needs units restocked. Using the distributive property, what is the total?
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Answer: C — 1,800
Factor out 18: .
Question 3Easier
Which point satisfies both and ?
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Answer: C —
Test both conditions. Only has coordinate sum 9 and an x-coordinate greater than -1.
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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
- Linear equations and slope
- Inequalities
- 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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