SAT Math: Linear Inequalities and Absolute Value (Drill 1)

About This Drill

SAT Math: Linear Inequalities and Absolute Value (Drill 1) is a Math practice drill covering Linear Inequalities and Absolute Value. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT linear inequality questions ask you to solve inequalities, interpret their solutions on a number line, and identify solution regions for systems of inequalities. Absolute value questions involve equations and inequalities of the form |ax + b| ≥ c, requiring two-case analysis.

Questions in This Drill

1. Which of the following represents all values of x that satisfy the inequality 3x − 7 > 8?
2. What is the solution to the inequality −2x + 6 ≤ 12?
3. What is the sum of all values of x that satisfy |x − 4| = 7?
4. A catering company charges a $50 setup fee plus $12 per guest. If a client has a budget of no more than $200, what is the maximum number of guests the client can invite?
5. Which of the following represents the solution to |2x + 1| < 9?