Algebra

SAT linear equations in two variables practice questions

Lines and their equations. You find a slope from two points, find intercepts, write horizontal and vertical lines, and say what the numbers in an equation like y = 20x + 50 mean in context.

Practice linear equations in two variables 103 questions, no account needed.

The usual trap

Watch signs and order. Subtracting coordinates in mixed order flips the slope, and a horizontal line is y = a number, not x = a number.

Try three questions

Pick an answer to check it and see why. Practice sets also have grid-ins, where you type the answer.

  1. 01Question 1

    Easy

    The table shows points on a line.

    xy
    12
    38
    514

    What is the slope of the line?

  2. 02Question 2

    Medium

    The graph of a line in the xy-plane has a y-intercept of (0, −4) and passes through (3, 2). What is the slope of the line?

  3. 03Question 3

    Hard

    4(x − 3y) + 6 = 2(x + ky) − 10 In the given equation, k is a constant. The graph of the equation in the xy-plane is a line that is perpendicular to the graph of y = 2x − 5. What is the value of k?

Keep going

Start a set in this skill. Every answer comes with an explanation.

Practice linear equations in two variables

103 questions in the bank: 23 Easy, 54 Medium, 26 Hard.

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