Quiz about Equivalent Linear Equations

Question 1

A linear equation with one variable, x, can be transformed into an equivalent equation that has one solution. Which of the following shows that the linear one-variable equation has one solution?

Accepted Answer

x=8

Answer

1=2

Answer

2=2

Answer

Question 2

Which equations represent the same line? Select all that apply.

Accepted Answer

2x - 3y = -27

Accepted Answer

y = 2/3x + 9

Accepted Answer

y - 5 = 2/3(x + 6)

Answer

y = 2/3x -1

Question 3

Which equation represents the same relationship?

Accepted Answer

y + 67 = 6 ( x - 78 )

Answer

y + 67 = 7/8 ( x - 78 )

Answer

y + 78 = 7/8 ( x - 67 )

Answer

y + 67 = 6 ( x - 67 )

Question 4

Which equation is equivalent to:

Accepted Answer

-6x + 12y = -15

Answer

-4x + 6y = -7

Answer

-2x + 12y = -15

Question 5

Which two equations/graphs are the same?

Accepted Answer

y = 5(x - 3) + 6

Accepted Answer

y = 5x - 9

Answer

y = 4/3x -1

Answer

y = 3/4(x - 4) + 2

Question 6

Which equation is equivalent to: 2x - 3 = 4?

Accepted Answer

2x - 6 = 1

Answer

2x = 6

Answer

2x + 3 = 7

Answer

2x + 3 = 4

Question 7

Are these equations equivalent?

Accepted Answer

No

Answer

Yes

Question 8

Are these equations Equivalent?

3(4y + 3) = 12y + 6

Accepted Answer

Not Equivalent

Answer

Equivalent

Question 9

Kiran says that a solution to the equation $$x+4=20\ $$ must also be a solution to the equation $$5\left(x+4\right)=100$$ . Select the most convincing reason why this is true.

Accepted Answer

If you multiply both sides of $$x+4=20$$ by 5, you get $$5\left(x+4\right)=100$$ .

Answer

It just is.

Answer

Because $$5x+4=100$$ .

Answer

The equations are just equivalent.

Question 10

Select all the equations that have the same solution as $$2x-5=15$$ .

Accepted Answer

$$2x=20$$

Accepted Answer

$$2x-20=0$$

Accepted Answer

$$4x-10=30$$

Answer

$$2x=10$$

Answer

$$2\left(x-5\right)=15$$

Question 11

Solve the equation:
3x - x + 2 = 4(2x - 1)

Accepted Answer

x = 1

Answer

infinite solutions

Answer

x = -1

Answer

no solution

Question 12

Solve the equation:

3x + 15 = 3(x + 5)

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

x = 15

Equivalent Linear Equations

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