Pre-Algebra Worksheet
Distributive Property and Combining Like Terms
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Distributive Property and Combining Like Terms |
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This worksheet contains vocabulary and problems on the distributive property and
combining like terms. It includes examples and definitions of terms such as terms, constant, coefficient, and like terms. Mixed in
with the examples are 17 problems students must complete. |
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Sample Problems from Worksheet (diagrams not shown) |
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5(2x + 3) = 10x + 15 In this example, we distribute or “pass out” the five by
multiplying it by both the 2x and the 3. You must multiply the number outside the
parenthesis by every number (or term) that is inside.
Use the distributive property to multiply each expression:
1. 4(2x + 4) =
–3(4x – 2) = –3(4x + –2) = –12x + 6 In this example, we rewrote 4x – 2 as 4x +
–2 (by adding the opposite). Then we distributed or “passed out” the –3 by multiplying
it to both 4x and –2.
Use the distributive property to multiply each expression:
5. –2(3x – 5) =
Vocabulary:
A term is a number or variable in an expression.
A constant is a term that has no variable.
A coefficient is a number that multiplies a variable.
Like Terms are terms with identical variables.
When we have like terms, we can add their coefficients and keep the variable. This
is called Combining Like Terms.
Simplify by Combining Like Terms
1. 5m + 7m – 4m __________________
Simplify by using the Distributive Property to remove parenthesis then Combining
Like Terms.
6. 5(2x – 3) + 4(3y + 2) + 2x + 2y
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