SAT

Maths · Algebra

Unit 1 of the SAT Maths build

Master SAT Algebra, one idea at a time

Seven core topics, each with a concept refresher, two worked examples, and an eight-question test. Two interactive graphing tools let you feel how slope and intercepts actually work — drag a slider, drag a point.

Core topics

Topic 1

Linear equations in one variable

Solve for x · fractions · decimals · negatives

Topic 2

Linear equations in two variables

Slope-intercept · standard form · intercepts

Topic 3

Systems of linear equations

Substitution · elimination · one / none / infinite

Topic 4

Linear inequalities

Solve · graph regions · constraint problems

Topic 5

Interpreting slope & intercept

Rate of change · starting value · real-world meaning

Topic 6

Rearranging formulas

Solve for a chosen variable · equivalent forms

Topic 7

Word problems with linear models

Cost · distance · speed · mixture · profit

Interactive tools

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Tool A

Slope-Intercept Explorer

Drag the m and c sliders, watch y = mx + c redraw in real time.

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Tool B

Two-Point Slope Explorer

Drag two points, see m = (y₂−y₁)/(x₂−x₁) calculate live.

How to work through this. Read the concept, walk through both worked examples, then hit Take a test to lock in the idea with 8 timed-feel MCQs. The two interactive tools above are the fastest way to feel what slope and intercept actually do — open them in another tab while reading topics 2 and 5.