Multi Step Equations with Fractions

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 isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation f - 28 = 56?

Back

Add 28 to both sides to isolate f.

Front

Solve the equation: x/3 + 10 = 15.

Back

x = 15 - 10; x/3 = 5; x = 15.

Front

What is the first step in solving the equation 88 = 9(a + 10)?

Back

Distribute 9 to both terms inside the parentheses.

Front

Solve for x in the equation 5x - 15 = 45.

Back

Add 15 to both sides: 5x = 60; then divide by 5: x = 12.

Front

What does it mean to have a fraction in an equation?

Back

It means that the variable or constant is divided by a number, requiring multiplication or division to eliminate the fraction.

Front

How do you solve for v in the equation 3v + 6 = 21?

Back

Subtract 6 from both sides: 3v = 15; then divide by 3: v = 5.

Front

What is the importance of checking your solution in multi-step equations?

Back

To ensure that the solution satisfies the original equation and to verify accuracy.

Front

What is the first step in solving the equation 2(x - 3) = 10?

Back

Distribute 2 to both terms inside the parentheses.