Solving Multi-Step Equations with Variables on Both Sides

What should you do when you see a set of parentheses in an equation?

• Distribute

• Combine like terms

• Move the constants

• Divide by the coefficient

Tags

CCSS.6.EE.A.3

In the equation 11 + 2p = p + 4, what is the first step to isolate the variable?

• Subtract 11 from both sides

• Subtract p from both sides

• Add p to both sides

• Add 4 to both sides

After moving the variable p in the equation 11 + 2p = p + 4, what is the resulting equation?

• 2p = p + 4

• 11 + p = 4

• 11 = p + 4

• 11 + 2p = 4

Tags

CCSS.HSA.CED.A.4

In the equation 3 + 5n = 2n + 15, what is the result after subtracting 2n from both sides?

• 3 + 5n = 2n

• 3 + 3n = 15

• 5n - 2n = 15

• 3 + 5n - 2n = 15

What is the final value of n in the equation 3 + 5n = 2n + 15?

• n = 3

• n = 4

• n = 5

• n = 6

In the equation 8k - 6 = 6(k + 3) + 6k, what is the first step?

• Distribute

• Move the constants

• Subtract 6k from both sides

• Combine like terms

After distributing in the equation 8k - 6 = 6(k + 3) + 6k, what is the resulting equation?

• 8k - 6 = 6k + 3 + 6k

• 8k - 6 = 6k + 18 + 6k

• 8k - 6 = 6k + 18

• 8k - 6 = 12k + 18

In the equation 4(-3r + 4) = -8(-2r + 5), what is the result after distributing on both sides?

• -12r + 16 = -16r + 40

• 12r - 16 = 16r - 40

• -12r + 16 = 16r - 40

• 12r + 16 = -16r + 40

What is the final value of r in the equation -12r + 16 = 16r - 40?

• r = -2

• r = 1

• r = 2

• r = -1

In the equation -7k - 4k = 8 - 2k - 8, what is the result after combining like terms on both sides?

• -11k = 8 + 10k

• -11k = 8 + 2k

• -11k = 8 - 10k

• -11k = 8 - 2k