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Subtracting Linear Expressions

Subtracting Linear Expressions. The subtraction sign in front of an expression in parentheses means that you subtract EACH TERM in the parentheses, not just the first term. When subtracting expressions, we can rewrite the problem as adding the opposite, or the additive inverse. .

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Subtracting Linear Expressions

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  1. Subtracting Linear Expressions

  2. The subtraction sign in front of an expression in parentheses means that you subtract EACH TERM in the parentheses, not just the first term. • When subtracting expressions, we can rewrite the problem as adding the opposite, or the additive inverse. Ex. 1) Simplify. (8x + 3) – (6x + 2) Rewrite as adding the additive inverse. (8x + 3) + (-6x + -2) 8x + 3 + -6x + -2 Rewrite vertically with like terms in columns. 2x + 1 Combine columns.

  3. Ex. 2) Simplify. (-6x + 1) – (2x – 5) Rewrite as adding the additive inverse. (-6x + 1) + (-2x +5) -6x + 1 + -2x + 5 Rewrite vertically with like terms in columns. -8x + 6 Combine columns.

  4. Ex. 3) Simplify. (-5x – 9) – (-6x – 1) Rewrite as adding the additive inverse. (-5x – 9) + (+6x + 1) -5x + -9 + 6x + 1 Rewrite vertically with like terms in columns. 1x + -8 = 1x – 8 Combine columns.

  5. Ex. 4) Subtract (-2x + 5) from (-4x – 7). Be careful with order as you set up the subtraction problem! (-4x – 7) – (-2x + 5) Rewrite as adding the additive inverse. (-4x – 7) + (+2x + -5) -4x + -7 + 2x + -5 Rewrite vertically with like terms in columns. -2x + -12 = -2x – 12 Combine columns.

  6. Ex. 5) Simplify. Rewrite as adding the additive inverse. Rewrite vertically with like terms in columns. = Get common denominators before adding fractions. Combine columns.

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