Creating Equivalent Equations

How can I make an equivalent (equal) expression for the following expression?

• multiply the numerator (top number) by a power of 10

• multiply the denominator (bottom number) by a power of 10

• multiply both the numerator and the denominator by a power of 10

You bought a $5 magazine and four

erasers. You spent a total of $25. How

much did each eraser cost?

• 5+x=25

• 4x + 5 = 25

• 5x = 25

• 5x + 4 = 25

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

The product of 12 and a number is the same as 2 removed from a number

• 12x=x+2

• 12x=2-x

• 12-2=x-2

• 12x= x-2

Which equation is equivalent to:

• -6x + 12y = -15

• -4x + 6y = -7

• -2x + 12y = -15

Which equation has the same solution as 6 – 3 x = 5 x – 18?

• 4 x – 6 = 2 x – 12

• 10 – 7 x = 28 – 13 x

• 9 + 4 x = 8 x + 3

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

• y - 5 = 2/3(x + 6)

• y = 2/3x -1

• 2x - 3y = -27

• y = 2/3x + 9

Which two equations/graphs are the same?

• y = 5(x - 3) + 6

• y = 4/3x -1

• y = 3/4(x - 4) + 2

• y = 5x - 9

Which of the following is equivalent to 7x + y = −6