# Solving Equations with Variables on Both Sides Warm

Solving Equations with Variables on Both Sides Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

Solving Equations with Variables on Both Sides Warm Up Solve. 1. 2 x + 9 x – 3 x + 8 = 16 x=1 2. – 4 = 6 x + 22 – 4 x x = – 13 x 1 x = 34 3. 2 + = 5 7 7 7 2 x = 3 1 4. 9 x – 16 4 8 x = 50

Solving Equations with Variables on Both Sides Learn to solve equations with variables on both sides of the equal sign.

Solving Equations with Variables on Both Sides Additional Example 1 A: Solving Equations with Variables on Both Sides Solve. 4 x + 6 = x – 4 x 6 = – 3 x – 3 – 2 = x Subtract 4 x from both sides. Divide both sides by – 3.

Solving Equations with Variables on Both Sides Additional Example 1 B: Solving Equations with Variables on Both Sides See Video Example 2

Solving Equations with Variables on Both Sides Helpful Hint If the variables in an equation are eliminated and the resulting statement is false, the equation has no solution.

Solving Equations with Variables on Both Sides Check It Out: Example 3 See Video Example #3

Solving Equations with Variables on Both Sides Lesson Quizzes Standard Lesson Quiz for Student Response Systems

Solving Equations with Variables on Both Sides Lesson Quiz Solve. 1. 4 x + 16 = 2 x x = – 8 2. 8 x – 3 = 15 + 5 x x=6 no solution 3. 2(3 x + 11) = 6 x + 4 x = 36 1 1 4. x = x – 9 4 2 5. An apple has about 30 calories more than an orange. Five oranges have about as many calories as 3 apples. How many calories are in each? An orange has 45 calories. An apple has 75 calories.

Solving Equations with Variables on Both Sides Lesson Quiz for Student Response Systems 1. Combine like terms. 4 p + 14 = 11 p A. p = 2 B. p = 7 C. p = 14 D. p = 15

Solving Equations with Variables on Both Sides Lesson Quiz for Student Response Systems 2. Combine like terms. 3 g – 6 = 4 g – 7 A. g = 1 B. g = 7 C. g = 13 D. g = – 13

Solving Equations with Variables on Both Sides Lesson Quiz for Student Response Systems 3. Combine like terms. 3(g – 2) = 7 g – 18 A. g = 2 B. g = 3 C. g = – 3 D. g = – 2

Solving Equations with Variables on Both Sides Lesson Quiz for Student Response Systems 4. Solve for D. A. B. D = V C. D = m. V D.

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