Algebra

SAT systems of linear equations practice questions

Two linear equations with two unknowns. You solve by substitution or elimination, set up a system from a story like ticket sales, and decide whether a system has one solution, none, or infinitely many.

Practice systems of linear equations 98 questions, no account needed.

The usual trap

Solve for the variable the question asks about. A wrong choice is often the other variable, or the value of something like 2p instead of p.

Full skill name: Systems of two linear equations in two variables

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

    2x − y = 11 x + 2y = 3 Which ordered pair (x, y) is the solution to the given system of equations?

  2. 02Question 2

    Medium

    At a farm stand, 2 pounds of apples and 3 pounds of pears cost $11, while 2 pounds of apples and 1 pound of pears cost $7. What is the price per pound of pears, in dollars?

  3. 03Question 3

    Hard

    The system 5x + 2y = 8 and 10x + ky = 20 has no solution. What is the value of k?

Keep going

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

Practice systems of linear equations

98 questions in the bank: 17 Easy, 54 Medium, 27 Hard.

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