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MA.8.AR.4.1 · Algebraic Reasoning

Checking Solutions to Systems of Equations: Sample FAST Questions

A solution to a system of two linear equations has to satisfy both equations at the same time. 8th graders test candidate ordered pairs by substituting into each equation and keeping only the pairs that work in both.

How the FAST tests this benchmark

FAST items are usually multiple choice or multiselect questions asking which ordered pairs satisfy the system. The trap is a pair that makes the first equation true and the second false, so both equations have to be checked every time.

Skills students need

  • Substitute an ordered pair into a linear equation
  • Verify that a pair satisfies both equations in a system
  • Rule out ordered pairs that fail one equation

Try 6 real MA.8.AR.4.1 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
A venue offers two ticket pricing plans, modeled by the system shown. y=xy = x and y=2x−4y = 2x - 4. Which ordered pair is a solution to the system?

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More 8th grade algebraic reasoning benchmarks

MA.8.AR.4.2

How Many Solutions a Graphed System Has

MA.8.AR.4.3

Solving Systems of Equations by Graphing

MA.8.AR.1.1

Laws of Exponents with Variable Expressions

MA.8.AR.4.1: Solutions to Systems Practice | Algebro