Alg 1 Review Part 1

Which value of 𝑥 makes the equation 1.25(4𝑥 − 10) = 7.5 true?

• 3.5

• -1

• -0.5

• 4

What is the equation in slope-intercept form of the line that passes through the points ( −4 , 2) and (12, 6)

• 𝑦 = 0.25𝑥 + 3

• 𝑦 = 0.25𝑥 − 4.5

• 𝑦 = 4𝑥 + 18

• 𝑦 = 4𝑥 – 42

A grill at a barbecue restaurant will be used to cook sausage links that are 2 𝑙𝑏 each and briskets that are 6 𝑙𝑏 each. No more than 120 𝑙𝑏 of sausage links and briskets will be cooked on the grill. Which inequality represents all possible combinations of 𝑥, the number of sausage links that will be cooked on the grill, and 𝑦, the number of briskets that will also be cooked?

• 6𝑥 + 2𝑦 < 120

• 2𝑥 + 6𝑦 ≤ 120

• 6𝑥 + 2𝑦 > 120

• 2𝑥 + 6𝑦 ≥ 120

Jenny sells two types of lanyards, solid color or striped. She charges more for striped lanyards than for solid color lanyards. The amount of money, in dollars, that she collects from selling 𝑥 lanyards of one type and 𝑦 lanyards of the other type can be modeled by the expression 3𝑥 + 5𝑦. What does the variable 𝑦 represent in this situation?

• The number of solid color lanyards sold.

• The number of striped lanyards sold.

• The selling price of one solid color lanyard.

• The selling price of one striped lanyard.

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of 𝑥, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

• Domain: All real numbers greater than or equal to 0 and less than or equal to 100 Range: All real numbers greater than or equal to 0 and less than or equal to 50

• Domain: {50} Range: {100}

• Domain: All real numbers greater than or equal to 0 and less than or equal to 50 Range: All real numbers greater than or equal to 0 and less than or equal to 100

• Domain: {100} Range: {50}

Julio has $150. Each week, he saves an additional $10. Write a function 𝑓(𝑥) that models the total amount of money Julio has after 𝑥 weeks.

Which of the following relations represent functions? Select all that apply.

• 
• 
• 
• f(x) = 3x + 1

• 

Solve for 𝑥: 6𝑥 − 11 − 13𝑥 < 7 − 5x

A local movie theater sells admission tickets for $8.00 on Tuesday nights. At capacity, the theater holds 200 customers. The function 𝑀(𝑛) = 8𝑛 represents the amount of money the theater takes in on Tuesday nights, where 𝑛 is the number of customers. What is the domain of 𝑀(𝑛) in this context?

• all whole numbers

• all non-negative rational numbers

• all non-negative integers that are multiples of 8

• all non-negative integers less than or equal to 200

The graph represents the function 𝑓(𝑥) = −𝑥² + 2.

Check the statements that are true

• When 𝑥 = 1, 𝑓(𝑥) = 1

• When 𝑓(𝑥) = 2, 𝑥 = −2

• When 𝑥 = −1, 𝑓(𝑥) = 1