Question

which expression is equivalent to the expression (shown below) (2 + 3(2x + 5))
a (7 + 6x)
b (17 + 2x)
c (17 + 6x)
d (25 + 10x)

lesson 1.1
1 clara goes miniature golfing. she pays $7.50 for an admission ticket and $6.25 for each round she golfs. the total amount clara pays for admission and the number of rounds she golfs is $26.25. which equation can be used to determine the number of rounds, (x), that clara golfs?
a (6.25x + 7.50 = 26.25)
b (6.25x - 7.50 = 26.25)
c (7.50x + 6.25 = 26.25)
d (7.50x - 6.25 = 26.25)

Explanation:

First Problem

Step1: Distribute the 3 to terms inside parentheses

$2 + 3(2x + 5) = 2 + 3\times2x + 3\times5$

Step2: Calculate the products

$2 + 6x + 15$

Step3: Combine constant terms

$6x + (2 + 15) = 6x + 17$

Step1: Define cost components

Fixed cost (admission): $\$7.50$; Variable cost per round: $\$6.25x$; Total cost: $\$26.25$

Step2: Set up total cost equation

Total cost = Fixed cost + Variable cost
$7.50 + 6.25x = 26.25$

Answer:

C. $17 + 6x$

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Second Problem