Quiz about Systems of Equations Review

Question 1

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 2

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 3

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 4

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

Accepted Answer

12 horses, 16 chickens

Answer

10 horses, 18 chickens

Answer

16 horses, 12 chickens

Answer

18 horses, 10 chickens

Question 5

What is the solution?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

Accepted Answer

x=3

Answer

x=8

Answer

x=11

Answer

x=5

Question 7

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

Accepted Answer

4x+3y=134
3x+3y=120

Answer

x+y=134
x+y=120

Answer

3x+3y=134
4x+3y=120

Answer

7xy=134
6xy=120

Question 8

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 9

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 10

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 11

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

Accepted Answer

1

Answer

-1

Answer

3

Answer

4

Question 12

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

(0, -1.5)

Question 13

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 14

Give the solution to the system.

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

(1, -3)

Question 15

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

Accepted Answer

(3,1)

Answer

(1,3)

Answer

(-3,1)

Answer

(3,-1)

Question 16

What is the y-intercept in the function?
y = 5x - 4

Accepted Answer

-4

Answer

5

Answer

-5

Answer

4

Question 17

If x = -1, what must y equal in the function below?
x - y = 2

Accepted Answer

-3

Answer

1

Answer

2

Answer

-4

Question 18

A ________________ is a set of two or more equations that have the same variables.

Accepted Answer

system of equations

Answer

solution of a system

Answer

elimination method

Answer

table

Question 19

The ordered pair that satisfies all equations in the system.

Accepted Answer

solution of a system

Answer

system of equations

Answer

function

Answer

graph

Question 20

The first step in solving using the substitution method is __________.

Accepted Answer

get either variable by itself

Answer

get x by itself

Answer

get y by itself

Answer

add the equations together

Question 21

Solve using substitution.
2x - 2y = 2
y = -5x + 14

Accepted Answer

(2.5, 1.5)

Answer

(4, 5)

Answer

(1.5, 5)

Answer

(1, 2.25)

Question 22

Solve using substitution.
x - 2y = 2
3x + 4y = 3

Accepted Answer

(1.4, -0.3)

Answer

(3.1, 5)

Answer

(-2.5, 3.5)

Answer

(6.9, 1.02)

Question 23

Simplify the expression.
5g + 7 - 5g

Accepted Answer

7

Answer

10g + 7

Answer

12g

Answer

5g + 2

Question 24

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

Accepted Answer

y = -1
x = 2
z = 3

Answer

y = 3
x = -5
z = 1

Answer

y = -2
x = 10
z = 0

Answer

y = 1
x = 4
z = -1

Question 25

What is the slope and y-intercept of
y=2x-1

Accepted Answer

Slope = 2/1
y-int = -1

Answer

Slope = -1
y-int = 2

Answer

Slope = 1
y-int = -2

Answer

Slope = 1/2
y-int = -1

Question 26

Find the solution to the system.
y = x-6
y = -3x + 2

Accepted Answer

(2, -4)

Answer

(0, -6)

Answer

(6, 0)

Answer

(-4, 2)

Question 27

Solve the system of equations.
x + 2y = -3
x - y = -12

Accepted Answer

(-9, 3)

Answer

(-7 ,5)

Answer

(3, 15)

Answer

(9, 6)

Question 28

Given the equation
4x + 2y = 10 (standard form), what is the slope-intercept form of this equations?

Accepted Answer

y = -2x + 5

Answer

y = 2x + 5

Answer

y = 4x + 10

Answer

y = -2x - 10

Systems of Equations Review

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