SHSAT Math · Word Problems

Algebraic Applications Practice

Translate word problems into equations and solve. 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

Maria is

15

years older than Tom. If Tom is

23

years old, how old is Maria?

A $38$
B $8$
C $15$
D $345$

Show answer and explanation

Answer: A

Maria's age is Tom's age plus

15

23 + 15 = 38

Question 2

Four times a number plus 13 equals 41. What is the number?

A28
B7
C54
D10.25

Show answer and explanation

Answer: B

Let

x

be the number. Then

4x + 13 = 41

. Solving:

4x = 28

, so

x = 7

Question 3

2

times a number is

10

. What is the number?

A $6$
B $8$
C $5$
D $20$

Show answer and explanation

Answer: C

Let the number be

n

. Then

2n = 10

, so

n = 10 \div 2 = 5

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Algebraic Applications Practice

Free sample questions

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