MA.7.AR.2.2 · Number Sense and Operations and Algebraic Reasoning

Writing and Solving Two-Step Equations: Sample FAST Questions

Students write and solve two-step equations in one variable where all terms are rational numbers, in the forms px ± q = r and p(x ± q) = r. The two forms call for different first moves: undo the addition before the multiplication in one, distribute or divide first in the other.

How the FAST tests this benchmark

FAST items include equation editor questions solving for the variable and multiple choice items asking which equation models a word problem. Solutions can be negative or fractional, so an answer that looks ugly is often the correct one.

Skills students need

Solve two-step equations in the form px ± q = r
Solve two-step equations in the form p(x ± q) = r
Write and solve two-step equations from a real-world situation
Check a solution by substituting it back into the equation

Try 6 real MA.7.AR.2.2 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

Answer it and Algebro checks it instantly

Question 1EasyMultiple Select

The solution to

5x + 6 = 26

x = 4

. Select EACH statement that correctly describes a step in solving this equation.

Select every answer that applies, then check.

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

Question 5HardMatching

Match each two-step equation to its solution.

Pick one match in each row, then check.

	A. $x = -20$	B. $x = -16$	C. $x = -14$	D. $x = -12$
$-3x + 14 = 50$
$-\frac{1}{2}x - 4 = 3$
$-0.4x + 3 = 11$
$\frac{3}{8}x + 5 = -1$

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

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More 7th grade number sense and algebra benchmarks

MA.7.NSO.1.1

Laws of Exponents with Rational Bases

MA.7.NSO.1.2

Converting Fractions, Repeating Decimals, and Percentages

MA.7.NSO.2.1

Order of Operations with Rational Numbers