Semester 2 Final

Ethan and Olivia are comparing their savings over time. Which system of equations is represented by the graph shown? Select 2 answers

• y = 3/4x + 2

• y = 9x - 2

• y = -3/4x - 9

• y = 2x - 9

• y = -3/4x + 2

Priya and Liam are solving a system of equations to find the intersection point of two lines: -4x + 9y = 9 3x - 9y = -18

• (5,9)

• No Solution

• All Real Numbers/Infinite Solutions

• (9,5)

Emma is comparing different types of relationships between variables. Select all linear functions.

• 3 = x/y

• y = x^2 - 1

• y = 3x

In a survey conducted at a university, what is the frequency of students between the age of 21-30 that said lunch was their favorite meal of the day?

• 30

• 8

• 23

• 6

Noah conducted a survey in his school. Round your answers to the nearest whole percent. What is the relative frequency of students between the ages 10-20 that said dinner was their favorite meal of the day compared to all students that said dinner was their favorite meal?

• 36%

• 13%

• 30%

• 12%

• 37%

Scarlett conducted a survey among people between the ages 21-30. Round your answers to the nearest whole percent. What is the relative frequency of people in this age group that said dinner was their favorite meal of the day?

• 37%

• 30%

• 36%

• 12%

• 13%

Zoe kicked a ball that got stuck on the roof. The height of the house (from the ground to the roof) is 105 inches. Zoe has a ladder that is 111 inches. How far from the base of the house must she place the ladder so she can get her ball down? The ladder must be placed ______ inches from the base of the house.

• 1296

• 152.8

• 36

Henry is making a party hat in the shape of a cone. Round your answer to the nearest tenth. Do NOT include units in your answer. Find the volume of the cone. How many cubic millimeters is the cone below?

Olivia is comparing the cost of a large pizza at Palanzio’s Pizzeria, which costs $6.80 plus $0.90 for each topping. Meanwhile, Ethan finds that the cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

Lily and Aria are solving a math problem. A ________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table