2 step equations with decimals and fractions

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Tags

CCSS.7.EE.B.4A

Front

What is the first step to solve the equation 3 + (1/4)a = 31?

Back

Subtract 3 from both sides to isolate the term with the variable.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 5.2h = 14.04?

Back

Divide both sides by 5.2 to solve for h.

Tags

CCSS.6.EE.B.7

Front

How do you solve the equation 3(x + 2) = 15?

Back

First, divide both sides by 3, then subtract 2 from both sides to find x.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to have a variable in a fraction, such as (1-k)/5 = 5?

Back

It means that the expression (1-k) is divided by 5, and you can eliminate the fraction by multiplying both sides by 5.

Tags

CCSS.7.EE.B.4A

Front

How do you solve for k in the equation (1-k)/5 = 5?

Back

Multiply both sides by 5, then isolate k by rearranging the equation.

Tags

CCSS.7.EE.B.4A

Front

What is the first step to solve the equation (5/8)x + 2 = 17?

Back

Subtract 2 from both sides to isolate the term with the variable.

Tags

CCSS.7.EE.B.4A

Front

How do you eliminate a fraction in an equation?

Back

Multiply both sides of the equation by the denominator of the fraction.

Tags

CCSS.6.EE.B.7

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 it is correct.

Tags

CCSS.8.EE.C.7B