AskesisQuestion 1 of 8
If 3(x − 4) = 2x + 7, what is the value of x?
Reveal answer and explanation
C. 19
Expand to get 3x − 12 = 2x + 7. Subtract 2x and add 12, giving x = 19.
Free original practice
SAT algebra practice, grouped by skill.
Work through eight focused questions, then reveal each answer and explanation. No account is required, and the set is intentionally small enough for a purposeful review session.
Content ownership: These questions and explanations are original Askesis Exam Prep content created for this free resource. They are not official College Board questions, and Askesis is not affiliated with or endorsed by College Board.
Linear equations and systems
Translate relationships, isolate variables, and use the structure of a system.
Question 2 of 8
The lines y = 2x + 1 and y = −x + 10 intersect at (a, b). What is a?
Reveal answer and explanation
B. 3
At the intersection, 2x + 1 = −x + 10. Therefore 3x = 9, so x = a = 3.
Question 3 of 8
A gym charges a one-time fee of $18 plus $12 per month. Which expression gives the total cost, in dollars, after m months?
Reveal answer and explanation
B. 12m + 18
The monthly cost is multiplied by m, while the one-time fee is added once.
Functions and quadratics
Evaluate notation and connect equivalent forms to graph features.
Question 4 of 8
For f(x) = x² − 5x + 6, what is f(4)?
Reveal answer and explanation
C. 2
Substitute 4: 4² − 5(4) + 6 = 16 − 20 + 6 = 2.
Question 5 of 8
Which expression is equivalent to x² + 8x + 7?
Reveal answer and explanation
A. (x + 1)(x + 7)
The factors must multiply to 7 and add to 8. Those numbers are 1 and 7.
Question 6 of 8
The function g(x) = (x − 3)² + 5 has its minimum value at which x-coordinate?
Reveal answer and explanation
C. 3
Vertex form is (x − h)² + k. Here h = 3, so the vertex—and minimum—occurs at x = 3.
Applied algebra
Model rates and percentages from short real-world situations.
Question 7 of 8
A car travels 156 miles in 3 hours at a constant rate. At that rate, how many miles will it travel in 5 hours?
Reveal answer and explanation
C. 260
The rate is 156 ÷ 3 = 52 miles per hour. In 5 hours, the car travels 52 × 5 = 260 miles.
Question 8 of 8
A jacket’s price is reduced by 20% to $72. What was the original price?
Reveal answer and explanation
B. $90
After a 20% reduction, $72 is 80% of the original price. Divide 72 by 0.80 to get $90.
Want practice that adapts to you?
Create a free Askesis account for focused sessions, progress tracking, and personalized next steps.
Start studying free →