Quiz about Systems of Equations Mixed 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

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

Accepted Answer

(-3,-8)

Answer

(-8,-3)

Answer

(3,-8)

Answer

(8,3)

Question 3

Solve for x and y
5x + 3y = 7
y = 4

Accepted Answer

(-1,4)

Answer

(4,1)

Answer

(4,-1)

Answer

(1,4)

Question 4

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

Question 5

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 6

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 7

Solve:
8x + 4y = 12
y = -2x + 3

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 8

4x - 2y = 7
x + 2y = 3
What are x and y?

Accepted Answer

x = 2, y = 1/2

Answer

x = 2, y = 2

Answer

x = 1/2, y = 2

Answer

x = 2, y = -2

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

coinsiding lines

Question 10

What is the correct first step to solve this system of equations if you are using elimination?
4x - 3y = -10
2x + 3y = 4

Accepted Answer

add the 2 equations together

Answer

subtract the 2 equations

Answer

multiply the second equation by 3

Answer

divide the first equation by 4

Question 11

If a system of equations has infinitely many solutions, what does the graph look like?

Accepted Answer

coinciding lines

Answer

intersecting lines

Answer

parallel lines

Answer

skew lines

Question 12

Select the ordered pair that is a solution to this system of equations.
2x + y = 7
3x - 4y = 5

Accepted Answer

(3,1)

Answer

(-1,9)

Answer

(1,-9)

Answer

(-3,-1)

Question 13

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 14

Solve the following system:
x + y = 9
x = -y + 5

Accepted Answer

Inconsistent System (Empty Set)

Answer

(9,5)

Answer

(7,2)

Answer

Dependent System (Infinity)

Question 15

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

a hoppy hippo

Question 16

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

Accepted Answer

T + F = 49
20T + 50F = 1430

Answer

T + F = 1430
20T + 50F = 49

Answer

T+ F = 49
10T + 5F = 1430

Answer

T + F = 49
T + F = 1430

Systems of Equations Mixed Review

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