Quiz about Systems of Equations Elimination

Question 1

What is the solution to the system?

Accepted Answer

(6, -2)

Answer

(3, -1)

Answer

(2, -6)

Answer

No Solution

Question 2

Which system of equations represents the given graph?

Accepted Answer

$$y=x+2$$

$$y=-\frac{1}{3}x-2$$

Answer

$$y=x-2$$
$$y=-3x+2$$

Answer

$$y=-2x-\frac{1}{3}$$
$$y=x-2$$

Question 3

What could be the first step in solving this system using ELIMINATION?

Accepted Answer

Multiply the second equation by -1.

Answer

Add the two equations.

Answer

Add 4 to both side sof the equations.

Answer

Multiply the second equation by 2.

Question 4

Say you wanted to eliminate x from the system shown. How would you do it?

Accepted Answer

Multiply the first equation by negative 2 and the second equation by 3, then add the equations.

Answer

Add the equations without doing any multiplication.

Answer

Multiply the first equation by 2 and the second equation by 3, then add the equations.

Answer

Multiply the first equation by 3 and the second equation by negative 2, then add the equations.

Question 5

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

Accepted Answer

(7,0)

Answer

(-7,0)

Answer

(6,0)

Answer

(-6,0)

Answer

(6,7)

Question 6

Solve the system of equations using the elimination method: 3x + 2y - z = 6 2x - y + 3z = 4 4x + 3y + 2z = 9

Accepted Answer

x = 4/5, y = 2, z = -3/5

Answer

x = 0, y = 0, z = 0

Answer

x = -2/3, y = 1/2, z = 1/4

Answer

x = 1, y = 3, z = 2

Question 7

Find the solution to the following system of equations using the elimination method: 2x + 3y - z = 5 3x - 2y + 4z = 7 4x + y + 2z = 3

Accepted Answer

x = 2, y = -1, z = 1

Answer

x = -2, y = 1, z = -1

Answer

x = 1, y = 2, z = -1

Answer

x = 3, y = -2, z = 2

Question 8

Find the solution to the following system of equations using the elimination method: 2x + 3y - z = 5 3x - 2y + 4z = 7 4x + y + 2z = 3

Accepted Answer

x = 2, y = -1, z = 1

Answer

x = -2, y = 1, z = -1

Answer

x = 1, y = 2, z = -1

Answer

x = 3, y = -2, z = 2

Question 9

Solve the system of equations using the elimination method:

3x + 2y - z = 6

2x - y + 3z = 4

4x + 3y + 2z = 9

Accepted Answer

x = 4/5, y = 2, z = -3/5

Answer

x = 0, y = 0, z = 0

Answer

x = -2/3, y = 1/2, z = 1/4

Answer

x = 1, y = 3, z = 2

Question 10

Which of the following could be a correct first step in solving the system shown? Select all that apply.

Accepted Answer

Multiply the second equation by 2, then add the result to the third equation.

Accepted Answer

Add the first and second equation.

Accepted Answer

Add the first and third equation.

Answer

Multiply the first equation by 2, then add the result to the third equation.

Answer

Add the second and third equation.

Question 11

Solve using Elimination Method:

x - y = 11

2x + y = 19

Accepted Answer

(10,-1)

Answer

(-1,10)

Answer

(3,-4)

Answer

(6,7)

Question 12

what is the resulting combined equation to the following system:

Accepted Answer

10x = -3

Answer

5x = -3

Answer

10y = -3

Answer

10x = -25

Question 13

You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?

Accepted Answer

n+d=17
.05n+.10d=1.35

Answer

.05n+.10d=17
n+d=1.35

Answer

.25n+.10d=1.35
n+d=17

Question 14

What is the solution?
(Hint: Both lines are graphed over each other)

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 15

Solve the following system by elimination:

Accepted Answer

(10, 6)

Answer

(-3, 16/7)

Answer

(-10, -1)

Answer

none of the other choices

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