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**Linear Equations with Fractions **

Linear Equations with Variables on Both Sides Literal Equations (more than one variable) Inequalities

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**To cancel out a fraction multiply both sides by the reciprocal (flip the fraction)**

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**Cancel out the “x” term on the left or the right side**

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**Circle the variable you want, do the opposite operation of all other variables**

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**Flip the sign when you divide by a negative**

Open circle < and > Closed circle ≤ and ≥

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Ex 1) Linear Equation

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**Ex 2) Linear Equation 3x – 7 = 2x – 4**

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**Ex 3) Literal Equation Solve**

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**Ex 4) Inequality -3x – 10 < 2**

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-9x + 1 = -80 x = 9

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5 – 3y = 2y y = 1

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x = -16

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-7x + 1 > 15 x = -2

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v = 15

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4 + x < 52 x < 1

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2(4x + 3) = 30 x = 3

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2 + 3x > -10 x > -4

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3(m + 1) + 2m = 88 m=17

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13 ≥ 5x – 2 x ≤ 3

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5x = 2x + 12 x = 4

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5p – 14 = 8p + 4 p = -6

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