Question

exercise

1. alice is selling lemonade and fresh-squeezed orange juice at a booth. she sells cups of lemonade for \\$1 each and cups of orange juice for \\$3 each. write an expression that represents the amount of money that alice earns selling drinks.

1. evaluate \\(2x - 4\\) for \\(x = 9\\).

1. evaluate \\(-b + 8\\) for \\(b = 3\\).

1. find the value of the expression \\(\frac{1}{2}z + 3\\) if \\(x = 12\\).

1. for the equation \\(y = 3x + 4\\), find the value of \\(y\\) if \\(x = 2\\).

1. the expression \\(\\$25 + \\$10h\\) gives the amount of money that stephanie earns per day, where \\(h\\) is the number of hours she works. how much does she earn if she works 4 hours?

1. simplify each of the following expressions:

a. \\(3(x + 2) + 4(x - 2)\\)
b. \\(2(x + y) - 3(x + y)\\)
c. \\(-(y + 8) + 4(6 - y)\\)
d. \\(2(4x + 3) - 3(x + 1)\\)

Explanation:

Formulate expression for drink sales

$$
LATEXBLOCK0
$$

Evaluate expressions for questions 2 to 6

$$
LATEXBLOCK1
$$

Simplify expressions for question 7

$$
LATEXBLOCK2
$$

Answer:

Question 1

\(L + 3O\) (where \(L\) is the number of cups of lemonade and \(O\) is the number of cups of orange juice)

Question 2

\(14\)

Question 3

\(5\)

Question 4

\(9\) (Note: The question text contains a typo writing \(x = 12\) instead of \(z = 12\))

Question 5

\(10\)

Question 6

\(\$65\)

Question 7

a. \(7x - 2\)
b. \(-x - y\)
c. \(-5y + 16\)
d. \(5x + 3\)