EE.3.7.b

Solve linear equations in one variable.

b.  Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Assessment Banner - Assessment Questions Now Available!
Formative Assessments
Formative Assessments
Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to identify and explain whether given equations have one solution, no solutions, or infinitely many solutions.

Counting Solutions

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to solve a linear equation in one variable with rational coefficients.
Linear Equations – 2
Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to write examples of equations with one solution, no solutions, and infinitely many solutions.

Equation Prototypes

Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to solve a linear equation in one variable with rational coefficients and variables on both sides of the equation.
Linear Equations – 3
Assessment Logo. Includes a gray clipboard on a blue background.
CPALMS: Students are asked to solve a linear equation in one variable with rational coefficients.
Linear Equations – 1
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
Virtual Manipulatives Logo includes a laptop on a yellow background.
CPALMS: This site provides a virtual balance on which the student can represent (and then solve) simple linear equations with integer answers.

Algebra Balance Scales – with Negatives

Virtual Manipulatives Logo includes a laptop on a yellow background.
CPALMS: In this online game, students find the matching pairs by solving equations to find the value of x in each equation. Correct answers reveal a hidden picture. Levels 1 & 2 most appropriate for Grades 6-7. Level 3 is best for Grade 8.

Equation Match

Content Coming Soon Logo
We're currently looking for great content to go here!
Change Me To Real Text
Assessment Questions
Assessment Questions
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 2
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 6
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Open Response
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 3
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Multiple Choice
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Equation Editor 4
Assessments Logo. Includes 3 gray question marks on a purple background.
Click on this text to download this document.
Matching Item
Videos of Expert Instruction
Videos of Expert Instruction
Use Real Link and Title
Use Real Link and Title
Use Real Link and Title
Hook/Performance Tasks
Hook/Performance Tasks
Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: This task involves solving equations with rational coefficients and requires students to use the distributive law (``combine like terms``). It also provides opportunities for students to observe structure in the equation to find a quicker solution.

Coupon versus Discount

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: This task turns the focus away from the familiar “finding the solution” problem to thinking about what it really means for a number to be a solution of an equation. Work in high school in A-SSE domain will naturally build on this type of thinking skill.

The Sign of Solutions

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: This task provides a context for setting up a linear equation whose solution requires some algebraic manipulation. Since numbers involved are not too large, students can experiment with small values and eventually find the solution this way.

Sammy’s Chipmunk and Squirrel Observations

Achievement Level Descriptors Logo. Includes a dark gray document symbol on a yellow background.
Illustrative Mathematics: This task takes students through a progression of earlier learning on concrete to abstract solving equations. There are different parts then where students are asked to solve equations using pictures and symbols to discuss issues that may arise.

Solving Equations

v