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Texas Essential Knowledge and Skills (TEKS)
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| 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 |
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 7th Grade Math - Represent & Solve Equations Lesson
To solve an equation for an unknown value, keep the equation balanced while isolating the unknown.
First, divide both sides of the equation by 6.
Then, subtract 4.2 from both sides of the equation.
| 6(x + 4.2) | = | 36 | | 6(x + 4.2) ÷ 6 | = | 36 ÷ 6 | | x + 4.2 | = | 6 | | x + 4.2 − 4.2 | = | 6 − 4.2 | | x | = | 1.8 |
First, add 10 to both sides of the equation.
Then, divide both sides of the equation by -5.
| -5x − 10 | = | -15 | | -5x − 10 + 10 | = | -15 + 10 | | -5x | = | -5 | | -5x ÷ -5 | = | -5 ÷ -5 | | x | = | 1 |
First, subtract 0.7 from both sides of the equation.
Then, divide both sides of the equation by 2.1.
| 2.1x + 0.7 | = | 7 | | 2.1x + 0.7 − 0.7 | = | 7 − 0.7 | | 2.1x | = | 6.3 | | 2.1x ÷ 2.1 | = | 6.3 ÷ 2.1 | | x | = | 3 |
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