2. Systems Test

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Which system of equations models this situation if the drummer wrote songs and the guitarist wrote songs?

• g=8-2d and g=46-d
• g=2d-8 and g+d=46
• d=8-2g and d+g=46
• d=2g-8 and d=46-g

Given the system of equations x + y = 10 and y = 3x - 2, what is the value of y after using substitution to find the solution set?

• 4
• 6
• 8
• 10

In the system of equations 2x + 3y = 12 and y = x - 1 , what is the solution set (x, y) after applying the substitution method?

• (1, 3)
• (3, 2)
• (2, 2)
• (4, 0)

When solving the system of equations y = -x + 4 and 2x + y = 8 using substitution, what will be the final solution for y?

• 0
• 2
• 4
• 6

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid a total of $80, how many miles did they drive? Set up and solve the system of equations to find the number of miles driven.

• 100 miles
• 150 miles
• 200 miles
• 250 miles

You are buying apples and oranges. Apples cost $2 each, and oranges cost $3 each. You spent a total of $18 buying 8 pieces of fruit. Using substitution, how many apples did you buy?

• 4 apples
• 5 apples
• 6 apples
• 7 apples

A theater has two types of tickets: adult tickets that cost $12 and student tickets that cost $8. If the theater sells a total of 150 tickets for a performance and collects $1,440, how many adult tickets were sold?

• 72
• 84
• 96
• 66

A store sells two types of smartphones: Model A costs $300 and Model B costs $450. If a customer buys a total of 5 smartphones and spends $2,250, how many of each model did the customer buy? What is the number of Model A smartphones purchased?

• 3
• 2
• 1
• 4

A farmer has chickens and cows. If there are a total of 50 animals and there are 140 legs in total, how many chickens does the farmer have?

• 30
• 20
• 25
• 15

For the system of equations: 4x + y = 14 y = -x + 6 What is the solution for the ordered pair (x, y)? What is the solution for the ordered pair (x, y)?

• (0, 6)
• (1, 5)
• (2, 4)
• (3, 2)