Question

1. evaluate (solve) each expression following the order of operations.

a. $40 - 2^2 \div 4$
b. $50 + (6 \times 0.5) - 1^4$

1. write an algebraic expression to represent each situation.

a. 33 less than 7 times a number $k$
b. 6 times a number of movies $m$

Explanation:

For Question 5 (Order of Operations):

5a Step1: Calculate the exponent

$2^2 = 4$

5a Step2: Perform division

$4 \div 4 = 1$

5a Step3: Subtract from 40

$40 - 1 = 39$

5b Step1: Calculate the exponent

$1^4 = 1$

5b Step2: Solve parentheses

$6 \times 0.5 = 3$

5b Step3: Add 50 and 3

$50 + 3 = 53$

5b Step4: Subtract the exponent result

$53 - 1 = 52$

5a. "7 times a number $k$" translates to $7k$, and "33 less than" this value means subtracting 33 from $7k$.
5b. "6 times a number $m$" directly translates to multiplying 6 and $m$.

Answer:

5a. $39$
5b. $52$

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For Question 6 (Algebraic Expressions):