Combining Like Terms

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Show your work for each problem.

1.
Simplify: $5x + 3x$
1. a) $8x$
2. b) $8x^2$
3. c) $8$
4. d) $15x$
2.
$7y - 2y = \square y$ . What number goes in the box?
3.
Which pair consists of like terms?
1. a) $3x$ and $3y$
2. b) $7$ and $7x$
3. c) $2x$ and $5x^2$
4. d) $4x$ and $9x$
4.
Simplify $x + 4x$ . What is the coefficient of $x$ in the result?
5.
Simplify: $6a + 2a$
6.
Simplify $4x + 3y + 2x$ . What is the coefficient of $x$ in the result?
7.
Simplify: $3a + 5b + 2a - b$
1. a) $9ab$
2. b) $5a - 4b$
3. c) $5a + 4b$
4. d) $5a + 6b$
8.
Simplify: $5x + 3 + 2x - 7$
9.
$8m - 3m + m = \square m$ . What number goes in the box?
10.
Simplify: $2x + 5y - x + 3y$
11.
Which expression is fully simplified?
1. a) $4x + 5x$
2. b) $3x + 2y$
3. c) $2a + 3a + b$
4. d) $6m - 2m$
12.
Simplify $4x^2 + 3x + 2x^2 - x$ . What is the coefficient of $x$ (not of $x^2$ ) in the result?
13.
Simplify: $3a + 2b - 5 + 4a - b + 8$
14.
Simplify: $-2x + 5 - 3x - 8$
1. a) $-x - 3$
2. b) $-5x + 3$
3. c) $5x - 3$
4. d) $-5x - 3$
15.
Simplify: $5x^2 - 2x + 3x^2 + 4x - 7$
1. a) $8x^2 + 2x - 7$
2. b) $10x^3 - 7$
3. c) $8x^2 - 6x - 7$
4. d) $8x^4 + 2x - 7$
16.
Simplify: $2(x + 3) + 4x$