Quiz about System of Linear Equations

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

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 10

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 11

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 12

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 13

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

Accepted Answer

(-5, 13)

Answer

(13, 5)

Answer

(5, -13)

Question 14

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

Question 15

If a system of linear equations has one solution, what does this mean about the two lines?

Accepted Answer

Intersecting lines

Answer

Parallel lines

Answer

the same line

System of Linear Equations

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