Adding Linear Expressions Step by Step
Ex. 1) Simplify.
(-3x + 7) + (6x + -8)
Rewrite vertically with
like terms in columns
.
Combine columns.
-3x + 7
+ 6x + -8
3x + -1
3x – 1
When adding expressions, we can rewrite the
problem by lining up the like terms vertically
.
Ex. 2) Simplify. (7x – 2y + 3) + (-2x + -y – 8)
Rewrite vertically with
like terms in columns
.
Combine columns.
7x + -2y + 3
+ -2x + -1y + -8
5x + -3y + -5
5x – 3y – 5
Ex. 3) What is the sum of (-6x + 7z) and (4x – 5z)?
Rewrite vertically with
like terms in columns
.
Combine columns.
-6x + 7z
+ 4x + -5z
-2x + 2z
(-6x + 7z) + (4x – 5z)
“Sum” means addition.
Ex. 4) Simplify.
Rewrite vertically with
like terms in columns
.
Combine columns and simplify.
Get common denominators
before adding fractions.
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11/19/2013
Note Page: Adding linear expressions
Adding linear expressions involves simplifying and combining like terms vertically. This process is illustrated with examples, showing how to rewrite the expressions with like terms in columns and then combining them to find the sum. Practice these steps to master the skill of adding linear expressions effortlessly.
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Presentation Transcript
Adding Linear Expressions
When adding expressions, we can rewrite the problem by lining up the like terms vertically. Ex. 1) Simplify. (-3x + 7) + (6x + -8) -3x + 7 Rewrite vertically with like terms in columns. + 6x + -8 3x + -1 Combine columns. 3x 1
Ex. 2) Simplify. (7x 2y + 3) + (-2x + -y 8) Rewrite vertically with like terms in columns. 7x + -2y + 3 + -2x + -1y + -8 5x + -3y + -5 Combine columns. 5x 3y 5
Ex. 3) What is the sum of (-6x + 7z) and (4x 5z)? (-6x + 7z) + (4x 5z) Sum means addition. -6x + 7z Rewrite vertically with like terms in columns. + 4x + -5z -2x + 2z Combine columns.
) ( + ) ( 3 1 5 1 + + Ex. 4) Simplify. x x 8 4 8 2 3 1 3 1 + x + Rewrite vertically with like terms in columns. x 8 4 8 4 = 5 1 5 2 + + x + + Get common denominators before adding fractions. x 8 2 8 4 2 3 + x 8 4 Combine columns and simplify. 1 3 = + x 4 4
