Grade 9 · Algebra & functions

Linear equation expressions practice

Linear equation expressions is a grade 9 math skill aligned to Common Core standard HSA.CED.A.1: create equations and inequalities in one variable and use them to solve problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 linear equation expressions problems our math games drill.

CCSS HSA.CED.A.110 questions in the bank

Sample questions

Try 8 for free

Question 1easy

If $3x + 6 = 24$ , what is the value of $2x$ ?

Subtract $6$ from both sides: $3x = 18$ , so $x = 6$ . Then $2x = 2 \cdot 6 = 12$ .

Question 2easy

If $4x - 12 = 20$ , what is the value of $x - 2$ ?

Add $12$ to both sides: $4x = 32$ , so $x = 8$ . Then $x - 2 = 8 - 2 = 6$ .

Question 3easy

If $6x = 54$ , what is the value of $x + 7$ ?

Divide both sides by $6$ : $x = 9$ . Then $x + 7 = 9 + 7 = 16$ .

Question 4easy

If $2x + 8 = 22$ , what is the value of $3x$ ?

Subtract $8$ from both sides: $2x = 14$ , so $x = 7$ . Then $3x = 3 \cdot 7 = 21$ .

Question 5easy

If $8x + 4 = 36$ , what is the value of $2x$ ?

Subtract $4$ from both sides: $8x = 32$ , so $x = 4$ . Then $2x = 2 \cdot 4 = 8$ .

Question 6easy

If $12x = 60$ , what is the value of $5x$ ?

Divide both sides by $12$ : $x = 5$ . Then $5x = 5 \cdot 5 = 25$ .

Question 7easy

If $3x - 15 = 0$ , what is the value of $x + 4$ ?

Add $15$ to both sides: $3x = 15$ , so $x = 5$ . Then $x + 4 = 5 + 4 = 9$ .

Question 8medium

If $9x - 3 = 42$ , what is the value of $x - 1$ ?

Add $3$ to both sides: $9x = 45$ , so $x = 5$ . Then $x - 1 = 5 - 1 = 4$ .

Tests that cover linear equation expressions:

SAT NAEP ACT LEAP 2025 NC EOG/EOC

More Grade 9 skills:

Inconsistent linear systems Linear equation forms Factoring quadratics Linear equation from two points (SAT)Factoring patterns Linear functions from tables Exponential functions in context (SAT)Linear graph translations All Grade 9 practice →

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