SHSAT Math · Algebra

Expressions Practice

Simplify, evaluate, and manipulate algebraic expressions. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

Factor completely:

8x^{2} - 4x

A4x(2x - 1)
B $4(2x^{2} - x)$
C2x(4x - 2)
D8x(x - 4)

Show answer and explanation

Answer: A

GCF is 4x. 8x²÷4x=2x, -4x÷4x=-1. Result: 4x(2x-1). B only factors out 4. C and D don't factor completely.

Question 2

Which expression represents "five more than a number

n

An - 5
Bn + 5
C5n
D $\frac{n}{5}$

Show answer and explanation

Answer: B

"Five more than" means add 5 to n, giving n + 5. B is "five times." C is "five less than." D is "n divided by 5."

Question 3

Evaluate

3a^2 - 2b

when

a = 2

and

b = 5

A $7$
B $22$
C $2$
D $-2$

Show answer and explanation

Answer: C

3(2)^2 - 2(5) = 3(4) - 10 = 12 - 10 = 2

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Expressions Practice

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