Solving Two-Step Equations QUIZ

Identify the best first or second step for solving a two-step equation, choosing between adding, subtracting, multiplying, dividing or distributing

Solve two-step equations whose coefficients include negatives, fractions and expressions inside parentheses

Translate a real-world scenario into an equation of the form px + q = r or p(x + q) = r

Item 2 asks which TWO options are possible first steps for −2(3x − 9) = 18, so tell students in advance that one item takes two selections.

Items 7 and 8 share the rectangle scenario and items 9 and 10 share the phone-plan scenario; if you shorten the quiz, cut them in pairs so each model-the-equation item keeps its follow-up.

Because the first six items separate step choice from final value, comparing a student's misses across those two groups shows quickly whether the error is procedural or computational.

Two-step equation solving — students find x in equations such as −x/2 − 12 = −20, −3(4x − 16) = −12 and (3/4)(4x − 24) = −18.

Applying the distributive property — one item offers "simplify the parentheses by distributing −2" as a valid opening move on −2(3x − 9) = 18.

Interpreting a solution in context — after choosing the equation students give the rectangle's width in inches and the number of people on the plan.