SAT Linear Equations Practice
Linear equation questions reward clean setup. Track the variable, undo operations in reverse order, and translate word problems into one equation before solving.
What this page covers
Skill-focused practice with answers and explanations.
Free practice questions
Try these first, then use the app to build a full adaptive set.
If 3x - 7 = 20, what is the value of x?
Add 7 to both sides to get 3x = 27. Divide by 3, so x = 9.
A taxi charges a $5 flat fee plus $2.50 per mile. If the total fare is $27.50, how many miles was the ride?
Model the fare as 5 + 2.50m = 27.50. Subtract 5 to get 2.50m = 22.50, so m = 9.
A line has slope -3 and passes through (2, 9). What is the y-value on the line when x = 5?
Moving from x = 2 to x = 5 is an increase of 3. With slope -3, y changes by -9. Starting at 9, the new y-value is 0.
How to practice this topic
A few rules that make review sessions more useful.
- Keep the equal sign balanced. Whatever you do to one side, do to the other.
- In word problems, define the variable before writing the equation.
- Slope means change in y divided by change in x, not just the number attached to x.
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