Wyoming Math 7.EE.4

7.EE.4 is a cluster heading. These are the individual standards under it.

• 7.EE.4a

  Write and fluently solve linear equations of the form ax +b = c and a(x + b) = c where a, b, and c are rational numbers.

• 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...

• 7.EE.4c

  Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.

• 7.EE.4d

  Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.

01

What Students Need to Do

Students write equations for situations with an unknown amount. They solve equations with fractions, decimals, parentheses, and like terms. They also solve two-step inequalities, graph the answers, and explain what the answers mean.

02

What Mastery Looks Like

A student can solve 3(x - 2) + 4 = 13, explain each step, and check that x = 5 works. They can solve -2x + 5 < 11, graph x > -3 with an open circle, and explain why the sign changes.

03

Common Misconceptions

Students may multiply only the x in 3(x - 2), leaving the -2 untouched, or combine 3x and 4 as 7x. Some flip an inequality sign when adding a negative, rather than when multiplying or dividing by one. Others use a filled dot for < or count half a ride as a possible number of rides.

04

How to Assess It

Exit ticket: Solve 3(x - 2) + 4 = 13 and -2x + 5 < 11. Show each step, graph the inequality solution, and explain whether x = -3 works.

1. 01

   Place three cups with two counters beside each cup opposite 15 counters on a balance mat, then have pairs find what each cup holds.

2. 02

   Ask students to explain why dividing -2x < 6 by -2 changes the sign, using x = -4 and x = 0 to test their answer.

3. 03

   Play equation relay with 4(x - 2) + 3 = 15: one student distributes, the next combines terms, and the third solves.

4. 04

   Give students a $12 admission fee and $3 per ride; have them write an inequality for spending at most $30 and mark possible whole-number rides.

• 8.F.4

  Apply the concepts of linear functions to real-world and mathematical situations.

• 8.EE.7a

  Solve linear equations and inequalities with rational number coefficients that include the use of the Distributive Property, combining like terms, and variable ...

• 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.