Question

date: ____ per: ____
homework 3: comparing
directions: identify the variable terms, constant terms, and coefficients for each expression.

	expression	variable terms	coefficients	constant terms
2	$8r + 7 - 2r$
3	$-6n - 25 + 7n - 4$
4	$3a - 4a + 17 + a - 1$
5	$1k - 4d + c - 9d - 2c$
6	$-5x + 3 + 2y - y + 8x - 14$

directions: simplify each expression by combining like terms.

7	$8w + 4w$	8	$-4c + 4c$
9	$45 - 2x + 28$	10	$13 + 9p - 20$
11	$7 + \frac{4}{5}a - \frac{2}{3}a + 2$	12	$12k - 2 - 1 + 2k$
13	$-3n - 2n + 18 + 12n$	14	$v - 14 + 9v - 5$
15	$20 + 17z - 16z - 12$	16	$-2 - j + 15 + 8j - 11$
17	$5r + 16s - 7s - 2r + r$	18	$-n + 8n - 7m + 4n + m$
19	$5x - 9 - 4 + y - 12x$	20	$-2a + 9 - b - 4b + 7a - 1$

© gina wilson (all things algebra®, llc), 2019

Explanation:

Let's solve the first expression in the "Simplify each expression by combining like terms" section: \(8w + 4w\)

Step 1: Identify like terms

Like terms are terms with the same variable. Here, \(8w\) and \(4w\) are like terms.

Step 2: Combine the coefficients

To combine like terms, we add their coefficients. The coefficient of \(8w\) is \(8\) and the coefficient of \(4w\) is \(4\). So we calculate \(8 + 4\).
\(8 + 4 = 12\)

Step 3: Write the combined term

Multiply the sum of the coefficients by the variable. So we get \(12w\).

Answer:

\(12w\)