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SAT Math Practice
Linear Equations in Two Variables

Work with equations of the form Ax + By = C, including finding intercepts and interpreting graphs of lines.

84 original linear equations in two variables questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.

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Sample question 1 · easy

A line is defined by the equation 8x + 20y = 80. What is the line's y-intercept (the y-value where x = 0)?

5
3
4
8

Setting x = 0: 20y = 80, so y = 4.

Sample question 2 · hard

A line is defined by the equation 2x + 2y = 20. What is the line's x-intercept (the x-value where y = 0)?

10
11
9
20

Setting y = 0: 2x = 20, so x = 10.

Sample question 3 · medium

A line is defined by the equation 7x + 6y = 42. What is the line's x-intercept (the x-value where y = 0)?

6
12
5
7

Setting y = 0: 7x = 42, so x = 6.

Sample question 4 · medium

A line is defined by the equation 3x + 3y = 21. What is the line's y-intercept (the y-value where x = 0)?

6
8
7
14

Setting x = 0: 3y = 21, so y = 7.

Sample question 5 · easy

A line is defined by the equation 8x + 16y = 64. What is the line's y-intercept (the y-value where x = 0)?

5
4
8
3

Setting x = 0: 16y = 64, so y = 4.

More topics
SAT Math skills
Linear Equations in One VariableLinear FunctionsLinear InequalitiesSystems of Linear EquationsEquivalent ExpressionsNonlinear Equations and SystemsNonlinear FunctionsRatios, Rates, Proportions, and UnitsPercentagesOne-Variable DataTwo-Variable DataProbabilitySample Statistics and Margin of ErrorEvaluating Statistical ClaimsRight Triangles and TrigonometryCirclesArea and VolumeLines, Angles, and Triangles