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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Algebraic expressions — SHSAT practice questions
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Practice 102 Algebraic expressions questions in the app
What this topic is
Algebraic expressions on the SHSAT Mathematics section involve writing, simplifying, and using expressions and equations with letters for unknown values.
Students must apply the distributive property to a sum of products, turn a verbal rule about two sequence terms into an equation for one term in terms of the other, and pick an ordered pair that satisfies both an equation and an inequality. Questions are multiple choice, using a word problem or paired conditions, and ask for the matching equation, point, or total.
Traps include reversing one more than twice, treating an inequality as an equation, and distributing to only one factor. Choices are rival equations, ordered pairs, or totals.
Sample questions
Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.
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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