Solving MultiStep Equations by Clearing the Fractions Solving
Solving Multi-Step Equations by Clearing the Fractions
Solving Two-Step Equations That Contain Fractions – Ex. 1 Solve Method: Multiply every term on both sides by the LCD to clear the fractions. Multiply every term on both sides by 4, the LCD of the fractions. Distribute 4 on the left and right side. 2 x + 8 = 3 - 8 -8 2 x = -5 Simplify. Since 8 is added to 2 x, subtract 8 on both sides to undo the addition.
Solving Two-Step Equations That Contain Fractions – Ex. 1 (cont. ) Solve Method: Multiply every term on both sides by the LCD to clear the fractions. 2 x = -5 2 2 Since x is multiplied by 2, divide both sides by 2 to undo the multiplication.
Solving Two-Step Equations That Contain Fractions – Ex. 2 Solve Method: Multiply by the LCD to clear the fractions. Multiply every term on both sides by 14, the LCD of the fractions. +2 +2 4 x = 5 4 4 x = 5/4
Solving Two-Step Equations That Contain Fractions – Ex. 3 Solve Method: Multiply by the LCD to clear the fractions. Multiply both sides by 12, the LCD of the fractions. Distribute 12 to every term on both sides. 8 r + 9 = 7 – 9 8 r = – 2 Simplify. Since 9 is added to 8 r, subtract 9 from both sides to undo the addition.
Solving Two-Step Equations That Contain Fractions – Ex. 3 (cont. ) Solve 8 r = – 2 8 8 Since r is multiplied by 8, divide both sides by 8 to undo the multiplication.
Solving Two-Step Equations That Contain Fractions – Ex. 4 Solve Method: Multiply by the LCD to clear the fractions. Multiply both sides by 24, the LCD of the fractions. Distribute 24 on both sides. 3 y – 18 = 14 +18 3 y = 32 Simplify. Since 18 is subtracted from 3 y, add 18 to both sides to undo the subtraction.
Solving Two-Step Equations That Contain Fractions – Ex. 4 (cont. ) Solve 3 y = 32 3 3 Since y is multiplied by 3, divide both sides by 3 to undo the multiplication.
Solving Two-Step Equations That Contain Decimals – Ex. 5 Solve 0. 6 x + 2. 1 = 4. 5 Method: Multiply both sides by the same power of 10 to clear the decimals. Multiply every terms on both sides by 10 10(0. 6 x) + 10(2. 1) = 10(4. 5) because all decimals are to the tenths place. 6 x+ 21 = 45 – 21 -21 6 x = 24 6 6 x=4 (If decimals were to hundredths place, you would multiply by 100. )
Workbook pg. 304, #3 pg. 305, #5, 6 pg. 315, #17
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