Study on the fly›ACT›Mathematics›Linear equations and expressions in one variable

Linear equations and expressions in one variable — ACT practice questions

• Mathematics
• 45 questions on the paper
• 55 practice questions in the app
• Free

Practice 55 Linear equations and expressions in one variable questions in the app

What this topic is

Linear equations and expressions in one variable on the ACT Mathematics test cover writing, rearranging, and evaluating linear relationships with a single unknown.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

A gym membership costs a one-time enrollment fee of 45 dollars plus 30 dollars per month. Malia has spent a total of 255 dollars on her membership so far. How many months has she been a member?

A5✗ Not this oneB7✓ CorrectC8✗ Not this oneD10✗ Not this one

Show answer

Answer: B — 7

Let m be the number of months: 45 + 30m = 255. Subtract 45: 30m = 210. Divide by 30: m = 7.

Question 2Easier

If $2a - 3b = 5c + 7$, then $b = ?$

A$\dfrac{2a - 5c - 7}{3}$✓ CorrectB$2a - 5c - 7$✗ Not this oneC$\dfrac{2a - 5c + 7}{3}$✗ Not this oneD$\dfrac{5c + 7 - 2a}{3}$✗ Not this one

Show answer

Answer: A — $\dfrac{2a - 5c - 7}{3}$

Subtract 2a from both sides: -3b = 5c + 7 - 2a. Divide by -3, flipping every sign: b = (2a - 5c - 7)/3.

Question 3Easier

For $x = -3$, what is the value of $4(2x - 1) - 3(x + 2) + 5$?

A$-20$✓ CorrectB$-17$✗ Not this oneC$-8$✗ Not this oneD10✗ Not this one

Show answer

Answer: A — $-20$

Distributing and combining like terms gives $8x - 4 - 3x - 6 + 5 = 5x - 5$. Substituting $x = -3$ gives $5(-3) - 5 = -20$.

More ACT topics

Everything on the ACT