1. How do I Solve Linear Equations

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Presentation transcript:

1. How do I Solve Linear Equations Linear Equations are equations where the variable is on both sides of the equals sign Follow the same steps as before: Opposite operation on both sides Be consistent: Variables move left Constants move right

I DO 2. 3x + 4 = 1x + 10 - 1x -1x . 2x + 4 = 10 - 4 -4 2x = 6 ÷2 ÷2 Examples: Solving Linear Equations Example 1: Solve for the variable in the following equation 3x + 4 = 1x + 10 - 1x -1x . 2x + 4 = 10 - 4 -4 X 2x = 6 # ÷2 ÷2 x = 3 Check: 3(3) + 4 = 1(3) + 10 9 + 4 = 3 + 10 13 = 13

I DO 2. -5j – 8 = 8j + 18 - 8j -8j . -13j - 8 = 18 +8 +8 -13j = 26 Examples: Solving Linear Equations Example 2: Solve for the variable in the following equation -5j – 8 = 8j + 18 - 8j -8j . -13j - 8 = 18 +8 +8 X -13j = 26 # ÷-13 ÷-13 x = -2 Check: -5(-2) – 8 = 8(-2) + 18 10 – 8 = -16 + 18 2 = 2

WE DO 2. 6p – 4 = 2p + 12 -2p -2p . 4p - 4 = 12 +4 + 4 4p = 16 ÷4 ÷4 Examples: Solving Linear Equations Example 3: Solve for the variable in the following equation 6p – 4 = 2p + 12 -2p -2p . 4p - 4 = 12 +4 + 4 X 4p = 16 # ÷4 ÷4 x = 4 Check: 6(4) – 4 = 2(4) + 12 24 – 4 = 8 + 12 20 = 20

COMBINE LIKE TERMS ON SAME SIDE I DO 3. Examples: Solving Multi-Step Equations Example 1: Solve for the variable in the following equation 8 + 2x – 12 = 30 8 + 2x -12 = 30 2x - 4 = 30 COMBINE LIKE TERMS ON SAME SIDE +4 +4 2x + 0 = 34 ÷ 2 ÷ 2 8+2(17) –12 X = 17 8+34-12=30 CHECK!

WE DO 3. 2x – 7x = 56 2x - 7x= 56 -5x = 56 -5x = 56 ÷ -5 ÷ -5 Examples: Solving Multi-Step Equations Example 2: Solve for the variable in the following equation 2x – 7x = 56 2x - 7x= 56 -5x = 56 -5x = 56 ÷ -5 ÷ -5 2(-11.2) – 7(-11.2) X = -11.2 -22.4 +78.4 = 56 CHECK!

WE DO 3. - (4m – 7) = 35 -1(4m – 7) = 35 -4m + 7 = 35 - 7 - 7 Examples: Solving Multi-Step Equations Example 3: Solve for the variable in the following equation - (4m – 7) = 35 -1(4m – 7) = 35 -4m + 7 = 35 - 7 - 7 -4m + 0 = 28 ÷ -4 ÷ -4 -(4(-7) - 7) m = -7 -(-28 – 7) = 35 CHECK!