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High School SAT Prep Math — Algebra

SAT Math — Algebra

Practise linear equations, inequalities, systems of equations, and linear functions — the Algebra domain of the digital SAT Math section.

Exam Tips for SAT Algebra

1. A calculator is allowed throughout the digital SAT Math section — use it to check arithmetic, but know your methods first.
2. Plug in the answer choices if you get stuck — it's often faster than solving algebraically from scratch.
3. Isolate the variable one step at a time — undo addition/subtraction before multiplication/division.
4. For word problems, write the equation down before you touch the calculator.

What This Test Covers

Linear Equations

Solving for one variable in a single equation.

Systems of Equations

Solving two equations with two unknowns.

Linear Inequalities

Solving and interpreting inequalities with one variable.

Linear Functions

Slope, function notation, and evaluating f(x).

Parallel & Perpendicular Lines

Writing the equation of a line given a point and a relationship to another line.

Modeling with Equations

Turning a real-world word problem into an algebraic equation.

Knowledge Check

SAT Style

Answer all 10 questions. A calculator is allowed, just like the real digital SAT.

Score: 0 / 0

Question 1 — Linear equations

If 3x + 7 = 25, what is the value of x?

Question 2 — Linear equations

If 2(x - 4) = 10, what is the value of x?

Question 3 — Linear equations

Which value of x satisfies 5x - 3 = 2x + 12?

Question 4 — Systems of equations

If x + y = 10 and x - y = 2, what is the value of x?

Question 5 — Linear functions

A line passes through the points (0, 3) and (2, 7). What is its slope?

Question 6 — Linear functions

If f(x) = 3x - 5, what is f(4)?

Question 7 — Linear inequalities

Which inequality is equivalent to 2x + 1 < 9?

Question 8 — Parallel lines

Which equation represents a line parallel to y = 2x + 1, passing through (0, -3)?

Question 9 — Linear equations

If 4(x + 2) = 2(x + 10), what is the value of x?

Question 10 — Modeling with equations

The cost to rent a bike is $5 plus $2 per hour. Which equation models the total cost C for h hours?

Key Concepts Summary