Algebra I Essential Standard 1 LT 1C
LT 1C: I can solve equations with variables on both sides of the equal sign.
Notes (from Video)
Steps for Solving Equations:
1. Use the _______________ Property.
2. _____________ ___________ _________ on both sides of the equation.
3. Move all _______________ terms to one side of the equal sign.
4. Add or subtract the ____________________ term to isolate the variable term.
5. Multiply or divide by the __________________ to isolate the variable.
*Note: Not all steps listed above will be used on every equation.
Identity equation:
No solution equation:
Solve each equation.
1. 7 − 8𝑥 = 4𝑥 − 17 2. 10(2𝑥 + 2) − 𝑥 = 2(8𝑥 − 8)
Special Cases: Identity and No solution Equations
3. 2(𝑥 − 2) = 5𝑥 − (3𝑥 − 6) 4. 2(𝑥 + 3) = 5𝑥 − (3𝑥 − 6)
Structured Practice
1. 9𝑥 − 7 = 5𝑥 + 5 2. 14𝑥 − 10 = 3(4 + 𝑥)
LT 1C: I can solve equations with variables on both sides of the equal sign.
Notes (from Video)
Steps for Solving Equations:
1. Use the _______________ Property.
2. _____________ ___________ _________ on both sides of the equation.
3. Move all _______________ terms to one side of the equal sign.
4. Add or subtract the ____________________ term to isolate the variable term.
5. Multiply or divide by the __________________ to isolate the variable.
*Note: Not all steps listed above will be used on every equation.
Identity equation:
No solution equation:
Solve each equation.
1. 7 − 8𝑥 = 4𝑥 − 17 2. 10(2𝑥 + 2) − 𝑥 = 2(8𝑥 − 8)
Special Cases: Identity and No solution Equations
3. 2(𝑥 − 2) = 5𝑥 − (3𝑥 − 6) 4. 2(𝑥 + 3) = 5𝑥 − (3𝑥 − 6)
Structured Practice
1. 9𝑥 − 7 = 5𝑥 + 5 2. 14𝑥 − 10 = 3(4 + 𝑥)
