Wyoming Math 8.EE.7a
The Standard
Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations. Solve linear equations and inequalities with rational number coefficients that include the use of the Distributive Property, combining like terms, and variable terms on both sides.
2023 Wyoming Mathematics Content and Performance Standards · Analyze and solve linear equations and pairs of simultaneous linear equations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve multi-step equations and inequalities with fractions or decimals, parentheses, and variable terms on both sides. They check equations by substitution and show inequality solutions on a number line.
What Mastery Looks Like
- A student can solve 1/2(x + 4) = 3/4x + 1 and explain each step. They reverse the inequality when dividing by a negative number and test a value from their graphed solution.
Common Misconceptions
- Students may distribute to only the first term in parentheses or combine unlike terms. They may change a term's side without changing its sign. Some forget to reverse an inequality when dividing by a negative number.
How to Assess It
- Exit ticket: Solve -1/2(x - 4) > 1/4x + 1, graph the solution, and test whether x = 0 works.
Lesson moves
Ways to Teach It
Use a balance mat, half-x cards, and counters to model x/2 + 3 = x + 1; remove matching pieces from both sides.
Show -2(x - 3) > 10 and a student's answer, x > -2; ask pairs to find the error and correct it.
Give pairs cards with 0.5(x + 2) = 0.25x + 3 and -x/2 + 4 > x; have them solve, trade, and check.
Compare phone plans costing $12 + $0.25 per minute and $6 + $0.40 per minute; find when the first costs no more.
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Printable 8.EE.7a Worksheet
A ready-to-print activity worksheet aligned to 8.EE.7a, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 7.EE.4b
Write and solve multi-step linear equations that include the use of the Distributive Property and combining like terms. Exclude equations that contain variables...
- 8.EE.7
Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situat...
- 6.EE.7
Write and solve real-world and mathematical problems in the form of one-step, linear equations involving non negative rational numbers.
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