Free SAT Linear Inequalities Mock

Linear Inequalities are just as important as your classic solve-for-x vibes! Take a quick SAT practice test on Linear Inequalities to level up your skills, tackle tougher problems, and discover your strengths.

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Linear Inequalities

In a weekend coding marathon, Kevin and Alex each developed parts of a new software application, and the total lines of code written by both were over 800 lines. Kevin coded at an average rate of 25 lines per hour (lph), and Alex coded at an average rate of 30 lph. Which of the following inequalities represents this situation, where k is the number of hours Kevin coded and a is the number of hours Alex coded?

A 25k + 30a > 800 B 25k + 30a < 800 C 30k + 25a > 800 D 30k + 25a < 800

Which points (x,y) are not a solution to the given system of inequalities?

y ≥ −x + 4
y ≤ 2x − 3

I. (3,1)
II. (1,3)
III. (2,1)

A Only I B I and II C II and III D I and III

A tree has an initial height of 50 inches. Due to favorable growing conditions, it gains at least 1.2 inches but less than 1.3 inches in height each month. Which of the following inequalities represents all possible heights h, in inches, of the tree 6 months later?

A 57.4 < h < 57.8 B 57.6 < h < 58 C 57.2 ≤ h < 57.8 D 57.2 ≤ h ≤ 57.8

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How to solve questions from Linear Inequalities?

Isolate the variable

Solve inequalities similarly to equations, but reverse the inequality sign when multiplying/dividing by negatives

Check solution validity

Test values from your solution range in the original inequality to confirm correctness

Substitute systematically

For two-variable inequalities, substitute known values to solve for unknowns or graph boundary lines

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Why Linear Inequalities matter for SAT?

EdisonOS conducted a detailed Bluebook analysis to help tutors design SAT tests mirroring official Bluebook test challenges. Findings show Algebra dominates SAT Math, and Linear Inequalities share 1-2 questions with other key skills, making it essential for students to include all Algebra topics in their study plan.

I Need Detailed Analysis

Avoid These Common Mistakes In Linear Inequalities!

Ignoring sign flip

Failing to reverse the inequality sign when multiplying/dividing by negative values

Misrepresenting number lines

Using open circles (○) instead of closed dots (●) for ≤/≥, or vice versa

Combining terms incorrectly

Adding/subtracting terms without aligning variable coefficients or constants

Symbol confusion

Mixing up < with > or ≤ with ≥, especially in word problems

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