Quiz about Systems of Equations (Graphing and Substitution)

Question 1

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 2

How many solutions does this system of equations have?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

Two Solutions

Question 3

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 4

What is the solution to the system?

Accepted Answer

(3, -1)

Answer

(-1, 3)

Answer

(-3, 1)

Answer

(-3, -1)

Question 5

How many solutions are there in the system of equations?

Accepted Answer

No Solution

Answer

Infinitely Many Solutions

Answer

One Solution

Answer

Two Solutions

Question 6

What is the solution to the system of equations?

Accepted Answer

(0, 2)

Answer

No Solution

Answer

(2, 0)

Answer

Infinitely Many Solutions

Question 7

What is the solution?

Accepted Answer

(6, 3)

Answer

(3, 6)

Answer

(-6, 3)

Answer

No solution

Question 8

Solve the following system by graphing. What is the solution? *Use the Desmos graphing calculator!*

Accepted Answer

(-1, -1)

Answer

(3, -1)

Answer

(-1, -3)

Answer

(-1, 3)

Question 9

Solve the following system by graphing. What is the solution? *Use the Desmos graphing calculator*

Accepted Answer

(3, 3)

Answer

Infinite number of solutions

Answer

(3, -3)

Answer

(-3, 3)

Question 10

The solution (x, y) to a system of equations is the point where they...?

Accepted Answer

Intersect

Answer

Run off the graph

Answer

Don't touch

Answer

Exist

Question 11

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

Accepted Answer

(6, 9)

Answer

(6, 6)

Answer

(9, 6)

Answer

(9, 9)

Question 12

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

Accepted Answer

(-1, 8)

Answer

(8, -1)

Answer

(-28, 8)

Answer

(8, -28)

Question 13

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 14

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

Accepted Answer

(-9, -3)

Answer

(-3, -9)

Answer

(-3, 9)

Answer

(9, -3)

Question 15

What is the solution to the system of equations?

Accepted Answer

(3, 1)

Answer

(-1, -3)

Answer

(1, 3)

Answer

(-3, -1)

Question 16

Solve the system of equations.

Accepted Answer

(-2, 10)

Answer

(-6, 30)

Answer

(44, 39)

Answer

No solution

Answer

Infinite solutions

Systems of Equations (Graphing and Substitution)

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