AnswersJunior Studies Math - A Mrs. Hitchcock 26-27Introduction to Systems of Linear Equations

Introduction to Systems of Linear Equations Answers

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The graph represents this system of equations:

Question illustration
A
(0, –3)
B
(1, 1)
C
(1.5, 0 )
D
(2.5, –2)
3

Paul is comparing two high-speed Internet service providers (ISPs) for his business. The graph represents the cost of each ISP as a function of t, the duration in months of a service contract.

Question illustration
A
6 months
B
8 months
C
10 months
D
12 months
4

Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown.The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.Which statement is true about the graph?

Question illustration
A
Mike can make 3 batches of salsa and 6 batches of tomato sauce using all of his garden produce.
B
Mike can make 3 batches of salsa and 3 batches of tomato sauce using all of his garden produce.
C
Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.
D
Mike can make 6 batches of salsa and 9 batches of tomato sauce using all of his garden produce.
5

For a summer job, Lucy is in charge of chickens and sheep. There are 16 animals total. The number of chickens, y, is 4 less than the number of sheep, x. Which ordered pair (x, y) represents the number of chickens and sheep?

A
(4, 12)
B
(6, 10)
C
(8, 8)
D
(10, 6)
6

Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.

Question illustration
A
2 cups of cereal and 4 cups of mixed nuts
B
3 cups of cereal and 9 cups of mixed nuts
C
4.5 cups of cereal and 1.5 cups of mixed nuts
D
7.5 cups of cereal and 4.5 cups of mixed nuts
7

The graph represents this system of equations.

Question illustration
A
(–2, 4)
B
(3, 4)
C
(4, –2)
D
(4, 3)
8

The sum of two numbers is 12. The first number, x, is twice the second number, y. Which system of equations could be used to find the two numbers?

A
A system of equations. x plus y equals 12. x equals 2 plus y.
Option A
B
A system of equations. x plus y equals 12. x equals 2 y.
Option B
C
A system of equations. x y equals 12. x equals 2 plus y.
Option C
D
A system of equations. x y equals 12. x equals 2 y.
Option D
9

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same?

A
2
B
3
C
4
D
5
10

The graph below represents the possible dimensions of a horse corral to be constructed behind a barn. The width of the corral is represented by the equation w = l where w represents width in feet and l represent length in feet. The fencing used around the corral is represented by the line w = .

Question illustration
A
The corral uses 20 + 25 = 45 feet of fencing.
B
The corral uses 20(25) = 500 feet of fencing.
C
The corral has dimensions of 25 feet long and 20 feet wide.
D
The corral has dimensions of 20 feet long and 25 feet wide.

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