ACT Math · Algebra
Linear equations and inequalities practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 10Solve for x: -3x + 7 ≤ 22.
- Question 47What are the solutions to |3x - 4| = 11?
- Question 50Solve the compound inequality: -5 < 2x + 3 ≤ 9.
- Question 51How many real solutions does x+2/x-3 = 4/x-3 + 1 have?
- Question 84How many liters of a 40% acid solution must be mixed with 10 liters of a 10% acid solution to create a mixture that is 25% acid?
- Question 97Two numbers have a sum of 45. One number is 3 more than twice the other. What is the larger of the two numbers?
- Question 99For which values of x is x² - 9 < 0?
- Question 124A company has fixed costs of $500 and variable costs of $8 per unit produced. Each unit sells for $20. What is the minimum…
- Question 134A rectangle's length is 5 more than 3 times its width. If the perimeter is 58, what is the length of the rectangle?
- Question 154Points A, B, and C are collinear, with B between A and C. If AB = 3x+2, BC = 5x-1, and AC = 33, what is BC?
- Question 170In 5 years, a person will be twice as old as they were 3 years ago. What is the person's current age?
- Question 175What is the sum of all solutions to |x - 5| = 3?
- Question 177The formula for the volume of a cone is V = 1/3π r² h. Which equation correctly solves for h?
- Question 181Solve |2x + 3| ≤ 9.
- Question 185If f(x) = 3x - 7, for what value of x does f(x) = 14?
- Question 226A taxi charges a $3 flat fee plus $2 per mile. If a customer's budget is at most $25, what is the maximum number of miles they…
- Question 230Solve for x: 5x - 3 = 2x + 12.
- Question 235Solve for x: x²/4 - 3 = 6.
- Question 236A machined part must have a length within 0.05 millimeters of 20 millimeters to pass inspection. Which inequality describes the…
- Question 238The solution set x ≤ -2 or x > 4 represents which type of relationship between the two conditions?
- Question 246If f(x) = |2x - 6|, for what values of x does f(x) = 10?
- Question 265In a parallelogram, the diagonals bisect each other. If one half of a diagonal measures 3x+2 and the corresponding half of the…
- Question 299A company spends $2,000 to set up production, plus $15 per unit produced. Each unit sells for $35. How many units must be sold…