Solve Multi-Step Linear Equations

What is the correct solution for x in the equation 4x + 2.6 = 3x + 8.1?

• x = 3.5

• x = 8.1

• x = 2.6

• x = 5.5

What is the first step in solving the equation 4x - 7 = 37?

• Subtract 37 from both sides

• Add 7 to both sides

• Divide both sides by 4

• Multiply both sides by 4

What must you always do to both sides of the equation to maintain balance?

• Multiply by the variable

• Make the same changes

• Add a constant

• Divide by zero

In the equation 6x + 8 = x - 12, what is the first step to solve for x?

• Add 12 to both sides

• Multiply both sides by 6

• Subtract x from both sides

• Divide both sides by x

• x=3

• x=-7

• x=0

• No Solution

• 1.5

• 6

• -6

• -1.5

How do you solve an equation containing parentheses, like 2(m + 10) = 4(m - 15)?

• Combine like terms

• Distribute across the parentheses

• Divide both sides by 2

• Subtract m from both sides

When solving equations with decimals, what can you multiply all terms by to remove the decimal points?

• A power of 10

• The variable's coefficient

• Zero

• A constant term

2x + 3(5x - 7) = 47

• 1

• 2

• 3

• 4

8v - 4(v + 8) = 8

• 2

• 10

• 4

• -4