Solving Equations with Variables on Both Sides: Part 2

What is the first step in solving the equation 9z + 12 = 9(z + 3)?

• Divide both sides by 9

• Subtract 12 from both sides

• Distribute the 9 on the right-hand side

• Add 9z to both sides

After distributing the 9 in the equation 9(z + 3), what do you get?

• 9z + 27

• 9z + 12

• 9z + 3

• 9z + 9

Tags

CCSS.6.EE.A.3

What does it mean if you end up with a statement like 12 = 27 when solving an equation?

• The equation has infinite solutions

• The equation is an identity

• The equation has one solution

• The equation has no solution

Tags

CCSS.8.EE.C.7A

In the equation 3(2a + 4) = 6(a + 2), what is the result after distributing on both sides?

• 6a + 6 = 6a + 6

• 6a + 4 = 6a + 2

• 6a + 12 = 6a + 12

• 6a + 8 = 6a + 4

Tags

CCSS.8.EE.C.7A

What does it mean if you get a true statement like 12 = 12 when solving an equation?

• The equation has a variable solution

• The equation has no solution

• The equation is an identity

• The equation has one solution

Tags

CCSS.8.EE.C.7A

What is the solution to an equation that is an identity?

• One specific number

• No solution

• All real numbers

• Only positive numbers

Tags

CCSS.8.EE.C.7A

In the equation 7w + 3 = 5w + 3, what is the first step to isolate w?

• Subtract 3 from both sides

• Add 3 to both sides

• Subtract 5w from both sides

• Add 5w to both sides

After isolating the variable w in the equation 7w + 3 = 5w + 3, what do you get?

• 2w = 3

• 2w + 3 = 0

• 2w + 3 = 3

• 2w = 0

What is the value of w in the equation 7w + 3 = 5w + 3?

• 5

• 0

• 3

• 1

How can you verify that w = 0 is the correct solution for the equation 7w + 3 = 5w + 3?

• By checking the solution with a calculator

• By graphing the equation

• By solving the equation again

• By substituting w = 0 back into the original equation

Tags

CCSS.6.EE.B.5