7.10.A 7.10.B 7.10.C 7.11.A 7.11.B

Texas Essential Knowledge and Skills (TEKS) Represent & Solve Inequalities
Grade:	7th Grade
Standard:	7.10.A
Description:	write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;
Standard:	7.10.B
Description:	represent solutions for one-variable, two-step equations and inequalities on number lines; and
Standard:	7.10.C
Description:	write a corresponding real-world problem given a one-variable, two-step equation or inequality.
Standard:	7.11.A
Description:	model and solve one-variable, two-step equations and inequalities;
Standard:	7.11.B
Description:	determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and

Inequalities can be solved by using opposite operations to isolate a value.
If multiplying or dividing both sides by a negative, flip the inequality sign.

To isolate x, first, subtract 4.2 from both sides of the inequality.
Then, divide both sides by -2 and flip the inequality sign.

-2x + 4.2	≥	5
-2x + 4.2 − 4.2	≥	5 − 4.2
-2x	≥	5 − 4.2
-2x	≥	0.8
-2x ÷ -2	≥	0.8 ÷ -2
x	≤	0.4

Texas Essential Knowledge and Skills (TEKS)

Represent & Solve Inequalities

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; and

7.10.C

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

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; and