Equivalent Equations

Which of the following expressions is equivalent to 12a + 3a?

• a(12 + 3a)
• 3a(4 + 1)
• 3(12a + a)
• a(12 + 3a)

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)

Which equations are equivalent to 1 = 11x - 7 ?

• 2 = 22x - 14

• 2 = 22x - 7

• -1 = -11x + 7

• 3 = 11x - 21

• -3 = -33x + 21

Match the equivalent equations

• -8 - 6x = 10

• 3 + 4x = 5

• 9 + 12x = 15

• 5 - 4x = 3

• -6 + 8x = 10

• 4 + 3x = -5

• 25 - 20x = 15

• -3 + 4x = 5

• 8 - 6x = -10

• 4 - 3x = -5

Match the equivalent equations

• 10x - 35 = -65

• 7x + 2 = -13

• -28x + 8 = -52

• 7x - 2 = -13

• -21x - 6 = 39

• 7x - 2 = 13

• 14x - 4 = -26

• 2x + 7 = 13

• -4x - 14 = -26

• 2x - 7 = -13

Given the equation 4x - 12 = -80, what was done to both sides to get the following equations?

2x - 6 = -40 ​ (a)  

12x - 36 = -240 ​ (b)  

4x - 15 = -83 ​ (c)  

4x - 9 = -77 ​ (d)  

• Divide by 2
• Multiply by 3
• Subtract 3
• Add 3
• Divide by 3
• Multiply by 2
• Add 4
• Multiply by 4
• Subtract 5
• Divide by 4

Given the equation 5x + 15 = 2, if you ​ (a)   both sides by ​ (b)   you get 10x + 30 = 4 as an equivalent equation.

• multiply
• 2
• divide
• add
• subract
• 3
• 5
• 10
• 4
• 8

If you take the equation 7x - 49 = 91 and divide both sides by 7 the result is ​ (a)  

• x - 7 = 13
• x - 49 = 91
• x - 7 = 91
• x - 49 = 13
• 7x - 7 = 13
• 7x - 49 = 13
• 7x - 7 = 91

The equation 3x + 12 = 9 is equivalent to ​ (a)  

• 3x - 7 = -10
• 3x + 15 = 6
• x + 12 = 3
• x + 6 = 3
• x + 9 = 12
• 6x + 12 = 18
• 9x + 12 = 3
• 3x + 4 = 5