TEKS Math 7.10

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

• 7.10.A

  write one-variable, two-step equations and inequalities to represent constraints or conditions within problems

• 7.10.B

  represent solutions for one-variable, two-step equations and inequalities on number lines

• 7.10.C

  write a corresponding real-world problem given a one-variable, two-step equation or inequality

01

What Students Need to Do

Students turn conditions in a situation into a two-step equation or inequality with one unknown. They show the solution set on a number line and create a matching story from a given mathematical statement.

02

What Mastery Looks Like

A student can model a situation, solve it, and graph the result with the correct endpoint and shading. Given 3x + 8 ≤ 29, the student writes x ≤ 7 and creates a realistic matching situation.

03

Common Misconceptions

Students often use = for phrases such as “at most” or reverse < and > because they focus on word order. They may use the wrong endpoint, shade the wrong direction, or forget to reverse the sign after dividing by a negative. Their stories may swap the fixed amount and rate, so the context does not match the expression.

04

How to Assess It

Use this exit ticket: “A gym charges $12 plus $5 per class. Mia can spend at most $47. Write an inequality, solve it, and graph the solution.”

1. 01

   Place integer cards on a taped floor number line, then have pairs graph solution cards using a hoop for the endpoint and yarn for shading.

2. 02

   Ask, “How do ‘at most’ and ‘at least’ change a budget model?” Students write examples and defend their inequality symbols.

3. 03

   Run a card match where students pair situation cards, equations or inequalities, solved forms, and number-line graphs, then explain one match.

4. 04

   Give a phone plan with a monthly fee and per-gigabyte charge; students model the largest data use allowed under a set budget.

• 7.11

  The student applies mathematical process standards to solve one-variable equations and inequalities

• 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

• 6.9

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