Question

day 1 - assignment
parts of an expression
tify the variable terms, coefficients, and constant terms of each expression.

expression

variable terms

coefficients

constant terms

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$7m + 3$

$7m$

$7$

$3$

$4 + 5w + 6$

$8b + 3c + 9d$

$8b + 4t + 9 + 1$

$5 + 7h + 9$

$18r + 5 + 16 + 2r$

$7 + 3a + b + 17$

$j + 6 + 9f + 5$

$5h + h + 14 + 3h$

$8k + 6t + 8$

$m + 3n + 8p + \frac{1}{2}$

$\frac{3}{4}x + 3 + 12y$

Explanation:

Step1: Identify variable terms (terms with variables)

For each expression, pick terms with letters.

Step2: Identify coefficients (numbers with variables)

Extract the numerical factor of each variable term.

Step3: Identify constants (terms without variables)

Combine like constant terms if present.

Answer:

Expression	Variable Terms	Coefficients	Constant Terms
$4 + 5w + 6$	$5w$	$5$	$10$
$8b + 3c + 9d$	$8b, 3c, 9d$	$8, 3, 9$	None
$8b + 4t + 9 + 1$	$8b, 4t$	$8, 4$	$10$
$5 + 7h + 9$	$7h$	$7$	$14$
$18r + 5 + 16 + 2r$	$18r, 2r$	$18, 2$	$21$
$7 + 3a + b + 17$	$3a, b$	$3, 1$	$24$
$j + 6 + 9f + 5$	$j, 9f$	$1, 9$	$11$
$5h + h + 14 + 3h$	$5h, h, 3h$	$5, 1, 3$	$14$
$8k + 6t + 8$	$8k, 6t$	$8, 6$	$8$
$m + 3n + 8p + \frac{1}{2}$	$m, 3n, 8p$	$1, 3, 8$	$\frac{1}{2}$
$\frac{3}{4}x + 3 + 12y$	$\frac{3}{4}x, 12y$	$\frac{3}{4}, 12$	$3$