Question

lesson 9 homework date_________ period______ find the difference of each expression using the fewest terms possible 1. $(0.4x + 0.9) - (0.5x - 0.7)$ 2. $left(-\frac{3}{5} + 7y
ight) - left(4y - \frac{2}{5}
ight)$ 3. $(-0.4z + 1.9) - (z + 6.2)$ 4. $left(5\frac{1}{2}y - \frac{3}{5}
ight) - left(4\frac{1}{5} - 1\frac{3}{4}y
ight)$ 5. $left(10 - \frac{2}{9}q
ight) - left(-9 - \frac{2}{9}q
ight)$

Explanation:

Step1: Distribute the negative sign

$(10-\frac{2}{9}q) - (-9-\frac{2}{9}q) = 10-\frac{2}{9}q + 9 + \frac{2}{9}q$

Step2: Combine constant terms

$10 + 9 = 19$

Step3: Combine variable terms

$-\frac{2}{9}q + \frac{2}{9}q = 0$

Step4: Sum the results

$19 + 0 = 19$

Answer:

$19$