TEKS Math 7.11

7.11 is a knowledge and skills statement. These are the student expectations under it.

• 7.11.A

  model and solve one-variable, two-step equations and inequalities

• 7.11.B

  determine if the given value(s) make(s) one-variable, two-step equations and inequalities true

• 7.11.C

  write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships

01

What Students Need to Do

Students write and solve two-step equations and inequalities with one variable. They test given values by substitution. They use triangle angle sums and angle relationships to write and solve equations.

02

What Mastery Looks Like

Students isolate the variable and keep both sides balanced. They substitute a given value and correctly decide whether the statement is true. They write equations from triangle and angle facts, then solve and check them.

03

Common Misconceptions

Students may undo operations in the wrong order or change only one side. They often forget to reverse an inequality sign after multiplying or dividing by a negative number. They may confuse supplementary, complementary, and vertical angle relationships.

04

How to Assess It

Use a four-item exit ticket: solve 3x - 5 = 16, solve -2x + 7 < 15, test x = 4 in 5x - 3 = 17, and write an equation for the third angle of a triangle with angles 48° and 67°.

1. 01

   Use algebra tiles and inequality cards to build two-step problems, solve them, and show when the inequality sign must reverse.

2. 02

   Ask students to explain in writing why multiplying both sides by a negative number reverses an inequality sign.

3. 03

   Play Equation Check Relay: teams solve a card, test a proposed value, then pass the verified answer to the next student.

4. 04

   Give a floor-plan sketch with missing angles, and have students write and solve an equation for each unknown angle.

• 6.10

  The student applies mathematical process standards to use equations and inequalities to solve problems

• 8.8

  The student applies mathematical process standards to use one-variable equations or inequalities in problem situations

• 7.10

  The student applies mathematical process standards to use one-variable equations and inequalities to represent situations

• 6.9

  The student applies mathematical process standards to use equations and inequalities to represent situations