Linear Reasoning

Five topics on linear reasoning, the core of the SAT's Algebra domain and the largest misconception cluster on the test. Solving linear equations, turning word problems into equations, reading slope and graphs, untangling systems, and handling inequalities.

Topics

1.1

Solving Linear Equations

Linear Equations from Word Problems

Linear Functions and Slope

Systems of Linear Equations

Linear Inequalities

Lesson

Diagnostic

after diagnostic

Reference The linear forms behind every problem in this unit

Slope-intercept form

$y = mx + b$

Slope between two points

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Point-slope form

$y - y_1 = m(x - x_1)$

Standard form

$Ax + By = C$

Unit 1 tools

Challenge bank

1 / 60

60 open-ended problems.

Read the question, work it out, then flip the card to compare your reasoning to the worked solution. Mark each card so you can return to the ones that still bite.

Question

Tap card to reveal explanation

Worked solution

Tap card to return to question

Cumulative assessment

Test the unit.

Mixed items pulled from across the unit's topics, with no labels showing which is which. It surfaces the misconceptions that still bite when you cannot tell what a question is testing.