Solving Three Step Equations

Front

What is a three-step equation?

Back

A three-step equation is an algebraic equation that requires three operations to isolate the variable and solve for its value.

Front

How do you solve the equation 3(3x - 6) = 18?

Back

Step 1: Distribute: 9x - 18 = 18. Step 2: Add 18 to both sides: 9x = 36. Step 3: Divide by 9: x = 4.

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

Step 1: Add 11 to both sides: 3(b + 5) = 18.

Front

How do you isolate the variable in the equation 5x - 4 + 2x = 3?

Back

Combine like terms: 7x - 4 = 3, then add 4 to both sides: 7x = 7, and finally divide by 7: x = 1.

Front

What is the solution to the equation 17 = 12x - 9x + 2x + 2?

Back

Combine like terms: 17 = 5x + 2, then subtract 2 from both sides: 15 = 5x, and divide by 5: x = 3.

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses.

Front

How do you solve the equation -6(8x-7)=522?

Back

Step 1: Distribute: -48x + 42 = 522. Step 2: Subtract 42 from both sides: -48x = 480. Step 3: Divide by -48: x = -10.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

What is the solution to the equation 3x + 5 = 20?

Back

Subtract 5 from both sides: 3x = 15, then divide by 3: x = 5.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.