Question

3 - 20. copy each expression below and circle each term. then simplify each expression.
homework help
a. - 8 + 2 ( - 5 )
b. 3 ( 7.5 + 2 ) + 4.6
c. 4 \frac { 1 } { 2 } ( - 2 + 1 + 7 )
d. 5 ( 6 + 2 ) + 4 + 2 ( - 5 + 8 )

Explanation:

Step1: Simplify a. -8 + 2(-5)

First, calculate the multiplication: \(2\times(-5)=-10\).
Then, calculate the addition: \(-8+(-10)=-18\).

Step2: Simplify b. 3(7.5 + 2) + 4.6

First, calculate the sum inside the parentheses: \(7.5 + 2=9.5\).
Then, calculate the multiplication: \(3\times9.5 = 28.5\).
Finally, calculate the addition: \(28.5+4.6=33.1\).

Step3: Simplify c. \(4\frac{1}{2}(-2 + 1+7)\)

First, convert the mixed number to an improper fraction: \(4\frac{1}{2}=\frac{9}{2}\).
Then, calculate the sum inside the parentheses: \(-2 + 1+7=6\).
Finally, calculate the multiplication: \(\frac{9}{2}\times6 = 27\).

Step4: Simplify d. 5(6 + 2)+4 + 2(-5 + 8)

First, calculate the sums inside the parentheses: \(6 + 2=8\) and \(-5 + 8=3\).
Then, calculate the multiplications: \(5\times8 = 40\) and \(2\times3=6\).
Finally, calculate the addition: \(40+4 + 6=50\).

Answer:

a. \(-18\)
b. \(33.1\)
c. \(27\)
d. \(50\)