Quiz about Systems of Linear Equations in Context

Question 1

Does the following system have One Solution, No Solution, or Infinite Solutions.
y = 4x + 8
y = -5x + 3

Accepted Answer

One solution

Answer

No solution

Answer

Infinite solution

Question 2

Parallel lines have the same slope with a different y-intercept and how many solutions?

Accepted Answer

No

Answer

One

Answer

Infinite

Question 3

The same line on a graph, has how many solutions?

Accepted Answer

Infinite solutions

Answer

One solution

Answer

No solution

Question 4

Intersecting lines have how many solutions?

Accepted Answer

One solution

Answer

No solutions

Answer

Infinite solutions

Question 5

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

Accepted Answer

(1, -4)

Answer

(-1, 4)

Answer

(-4, 1)

Answer

(4, -1)

Question 6

Solve for x and y
y = 2x + 1
y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 7

There are 50 donkeys and chickens on a far.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

Accepted Answer

d + c = 50
4d + 2c = 174

Answer

d + c = 174
4d + 2c = 50

Answer

d + c = 50
2d + 4c = 174

Answer

d + c = 174
2d + 4c = 50

Question 8

Solve for x and y
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 9

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 10

Solve for x and y.
y = 2/3x - 2
y = -x + 3

Accepted Answer

(3,0)

Answer

(0,3)

Answer

(0,-3)

Answer

(-3,0)

Question 11

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

Accepted Answer

(5, -8)

Answer

(5, 8)

Answer

(-5, -18)

Answer

(-5, 8)

Question 12

Which of the following are ways to solve systems of equations?

Accepted Answer

All of the above

Answer

Graphing

Answer

Substitution

Answer

Elimination

Question 13

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 14

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 15

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Accepted Answer

yes

Answer

no

Question 16

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

Accepted Answer

1.5x+0.5y=78.5
x+y=87

Answer

1.5x+0.5y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
1.5x+0.5y=87

Answer

x+y=78.5
x+y=87

Question 17

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

Accepted Answer

45 minutes

Answer

90 minutes
2x + 4y = 315

Answer

60 minutes
3x + 4y = 450

Answer

30 minutes

Question 18

Solve by the
Elimination method:
3x + y = -2
2x + y = 3

Accepted Answer

(-5, 13)

Answer

(13, 5)

Answer

(5, -13)

Question 19

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

Accepted Answer

x + y = 1550
y = 4x

Answer

x + y = 1550
y = x + 4

Answer

y - x = 1550
y = 4x

Answer

y = 1550 + x
y = x + 4

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