Solve Multi-Step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

How do you solve the equation 6(x + 3) = 48?

Back

Distribute: 6x + 18 = 48. Subtract 18: 6x = 30. Divide by 6: x = 5.

Front

What is the first step to solve 4(5 - x) = 8?

Back

Distribute: 20 - 4x = 8.

Front

What do you do after subtracting 20 in the equation 20 - 4x = 8?

Back

Subtract 20: -4x = -12. Then divide by -4: x = 3.

Front

How do you isolate the variable in the equation 7m + 8 = 71?

Back

Subtract 8: 7m = 63. Then divide by 7: m = 9.

Front

What is the total cost for Joe’s Canoes after x hours?

Back

Total cost = 20 + 4x.

Front

What is the total cost for Callie’s Canoes after x hours?

Back

Total cost = 14x.

Front

How do you find the number of hours where both canoe rentals cost the same?

Back

Set the equations equal: 20 + 4x = 14x. Solve for x.

Front

What is the solution to the equation 2(4x - 3) - 8 = 4 + 2x?

Back

Distribute: 8x - 6 - 8 = 4 + 2x. Combine like terms: 8x - 14 = 4 + 2x. Solve: x = 3.

Front

What does it mean to distribute in an equation?

Back

To multiply each term inside the parentheses by the factor outside.