Question

1. Evaluate each expression. Show your work. (6 points: 2 points for each correct answer with work shown)

B. (9)^1/2 + √25 - 8 ÷ 2 + 3^2
C. 1/2 x 3/5 (2^3 - 6
Please show your work for these 2 expressions.

Answer 1

B.) 13

C.) 0.6

Explanation:

The order of operations to evaluate these expressions is as follows:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

So, for B.)

`9^(1)/(2)+√(25)-8/2+3^2`

This can be rewritten as

`9^(1)/(2)+25^(1)/(2)-8/2+3^2`

Since there are no parentheses, evaluate the exponents first:

`3+5-8/2+9`

Next, there are no multiplication steps, but there is one division:

`3+5-4+9`

To finish, evaluate from left to right:

`3+5-4+9\\8-4+9\\4+9\\13`

Follow the same pattern for C.)

`((1)/(2))((3)/(5))(2^3-6)`

This expression can be rewritten as

`(1/2)(3/5)(2^3-6)`

First, evaluate the expressions in the individual parentheses, keeping in mind the expression
`(2^3-6)` must be evaluated following the same pattern (evaluate the exponent before subtracting six):

`(.5)(.6)(8-6)\\(.5)(.6)(2)`

To finish, evaluate from left to right:

`(.3)(2)\\.6`

Hope that helps!