Question

per:______ homework 4: combining like terms
directions: identify the variable terms, constant terms, and coefficients for each expression.

1. $4x + 1.5x$
2. $8r + 7 + 2r$
3. $6n + 25 + 7n + 4$
4. $3a + 4a + 17 + a + 1$
5. $11c + 4d + c + 9d + 2c$
6. $5x + 3 + 2y + y + 8x + 14$

Explanation:

Step1: Identify variable terms

Variable terms contain a variable (letter).

1. $4x, 1.5x$
2. $8r, 2r$
3. $6n, 7n$
4. $3a, 4a, a$
5. $11c, c, 2c, 4d, 9d$
6. $5x, 8x, 2y, y$

Step2: Identify coefficients

Coefficients are numbers multiplied by variables.

1. $4, 1.5$
2. $8, 2$
3. $6, 7$
4. $3, 4, 1$ (for $a$, coefficient is 1)
5. $11, 1, 2, 4, 9$ (for $c$, coefficient is 1)
6. $5, 8, 2, 1$ (for $y$, coefficient is 1)

Step3: Identify constant terms

Constants are terms with no variables.

1. None
2. $7$
3. $25, 4$
4. $17, 1$
5. None
6. $3, 14$

Answer:

EXPRESSION	VARIABLE TERMS	COEFFICIENTS	CONSTANT TERMS
2. $8r + 7 + 2r$	$8r, 2r$	$8, 2$	$7$
3. $6n + 25 + 7n + 4$	$6n, 7n$	$6, 7$	$25, 4$
4. $3a + 4a + 17 + a + 1$	$3a, 4a, a$	$3, 4, 1$	$17, 1$
5. $11c + 4d + c + 9d + 2c$	$11c, c, 2c, 4d, 9d$	$11, 1, 2, 4, 9$	None
6. $5x + 3 + 2y + y + 8x + 14$	$5x, 8x, 2y, y$	$5, 8, 2, 1$	$3, 14$