Quiz about Systems Solving

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

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

16 horses, 12 chickens

Answer

10 horses, 18 chickens

Answer

12 horses, 16 chickens

Answer

18 horses, 10 chickens

Question 8

Find the slope of the line going through points:
(9,2) (3, -4)

Accepted Answer

1

Answer

-1

Answer

0

Answer

-1/3

Question 9

Solve:
y = 2x -11
-3y = -6x -15

Accepted Answer

No solution (parallel lines)

Answer

(-1.5,-4)

Answer

(1.5,4)

Answer

Infinitely many solutions

Question 10

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

Accepted Answer

Infinitely many solutions

Answer

(0,3)

Answer

(3,0)

Answer

No solution(parallel lines)

Question 11

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 12

If 3x - 2y = 14 and 2x + 2y = 6,
what are x and y?

Accepted Answer

x = 4, y = -1

Answer

x = 1, y = 2

Answer

x = 2, y = 1

Answer

x = -4, y = 1

Question 13

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 14

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 15

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 16

If elimination is the method used to solve this system of equations, what is the result of the first step?
x + y = 6
x - y = 2

Accepted Answer

2x = 8

Answer

2y = 8

Answer

x + y = 8

Answer

x - y = 8

Question 17

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 18

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 19

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 20

Solve the system.

Accepted Answer

(-2, 4)

Answer

(2, 4)

Answer

(4, -2)

Answer

No Solution

Question 21

Solve the system.

Accepted Answer

No Solution

Answer

(3, 6)

Answer

(-3, 6)

Answer

(6, 3)

Question 22

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

a hoppy hippo

Question 23

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

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