MA.8.AR.4.3 · Algebraic Reasoning

Solving Systems of Equations by Graphing: Sample FAST Questions

Solving a system by graphing means drawing both lines from slope-intercept form and reading the point where they cross. 8th grade problems keep both equations in y = mx + b form and often wrap them in a real-world break-even context.

How the FAST tests this benchmark

The FAST uses graphic response items where students plot both lines or mark the intersection, plus multiple choice items for the solution pair. Some intersections land between grid marks, and those items expect an approximation read off the graph.

Skills students need

Graph two lines from slope-intercept form
Identify the intersection point as the solution
Approximate a non-integer solution from a graph
Interpret the solution in a real-world context

Try 6 real MA.8.AR.4.3 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 1EasyEquation Editor

Solve the system by graphing.

y = x + 1

and

y = 3x - 7

. What is the

x

-coordinate of the solution?

Enter the number only. Do not include units like $, %, or ft²

Showcase extra: the real practice and quiz players do not have this button.

Question 4MediumMatching

Match each system on the left to its solution point on the right.

Pick one match in each row, then check.

	$(3, 4)$	$(3, 6)$	$(2, 3)$
$y = 2x - 1$ , $y = -x + 5$
$y = x + 1$ , $y = -x + 7$
$y = 2x$ , $y = -x + 9$

Showcase extra: the real practice and quiz players do not have this button.

Question 5HardMatching

Match each system to its number of solutions.

Pick one match in each row, then check.

	one solution	infinitely many solutions	no solution
$y = 2x + 1$ , $y = 2x - 3$
$y = x + 4$ , $y = 2x - 1$
$y = 3x + 5$ , $y = 3x + 5$

Showcase extra: the real practice and quiz players do not have this button.

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More 8th grade algebraic reasoning benchmarks

MA.8.AR.1.1

Laws of Exponents with Variable Expressions

MA.8.AR.1.2

Multiplying Linear Expressions

MA.8.AR.1.3

Factoring Out a Common Monomial