Name: Solving Two-Step Equations QUIZ
SKU: 621c35e41c2a9906b76ed174
Price: 39.99 USD
Availability: InStock

About this resource

What's inside this resource

This quiz is meant to assess students' knowledge of solving 2-step equations, including knowledge of correct steps and final solution.

What's included

Teacher letter naming the target 7th-grade Expressions & Equations standard and listing the contents
Ten-item multiple-choice quiz page with a name line and the direction "Choose the one best answer for each question."
Step-identification items covering the best first step and the best second step for equations with negatives, fractions and parentheses
Solve-for-x items including −x/2 − 12 = −20, −3(4x − 16) = −12 and (3/4)(4x − 24) = −18
Two paired word-problem scenarios — a rectangle perimeter and a family cell-phone plan — each with a model-the-equation item followed by a solve item
A completed key table listing the correct letter for items 1 through 10, with C & D recorded for the two-selection item

Resource types: Quizzes, Quizzes and Tests, Teacher Tools

In the classroom

Teaching tips & learning objectives

Learning objectives

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
Report what the solution means in the situation described — the width of a rectangle in inches, the number of people on a phone plan

Teaching tips

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.
The only writing space on the quiz page is the short blank to the left of each item number, so hand out scrap paper if you want students to show their working.
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.
The teacher letter includes a link that copies a Google Forms version into your own Drive, so plan whether you are running the printed page or the online form before the lesson.

Skills covered

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.
Inverse-operation sequencing — items 1, 2 and 6 ask which operation belongs first or second, contrasting adding or subtracting the constant with multiplying or dividing by the coefficient.
Applying the distributive property — one item offers "simplify the parentheses by distributing −2" as a valid opening move on −2(3x − 9) = 18.
Modelling word problems algebraically — students pick 2(22 + w) = 70 for a 70-inch rectangle perimeter and 15p + 68 = 143 for a family phone bill.
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.

Good to know

Questions teachers ask about this resource

Does every item take a single selection?

Nine of the ten do. Item 2 is written to take two: it asks which TWO options are possible first steps for −2(3x − 9) = 18, and both dividing both sides by −2 and distributing the −2 are accepted.

What kinds of coefficients do the equations use?

They range across the rational numbers rather than staying with whole-number coefficients: negatives in −5x + 12 = −13, a variable divided by a number in −x/2 − 12 = −20 and x/4 + 22 = −3, parentheses to expand in −3(4x − 16) = −12, and a fraction outside parentheses in (3/4)(4x − 24) = −18.

How are the two word problems structured?

Each scenario is used twice in a row. The rectangle scenario — perimeter 70 inches, length 22 inches — asks first which equation solves for the width and then what the width is; the phone-plan scenario, a $143 bill made up of a $68 plan plus $15 per person, does the same for the number of people.