Solving equations with rational coefficients

Front

What is a rational coefficient?

Back

A rational coefficient is a number that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.

Tags

CCSS.6.EE.A.2B

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

Front

Solve for v: 0.3v = 1.35

Back

v = 4.5

Tags

CCSS.6.EE.B.7

Front

What is the first step in solving the equation 0.3v = 1.35?

Back

The first step is to divide both sides of the equation by 0.3.

Tags

CCSS.6.EE.B.7

Front

If v = 4.5, what is 0.3v?

Back

0.3v = 0.3 * 4.5 = 1.35.

Tags

CCSS.6.EE.A.2C

Front

What does it mean to have an equation in the form of ax = b?

Back

It means that a variable x is multiplied by a coefficient a to equal a constant b.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 0.5x = 2.5?

Back

x = 5.

Tags

CCSS.6.EE.B.7

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Tags

CCSS.3.OA.C.7

Front

Solve for v: 0.4v = 2.0

Back

v = 5.

Tags

CCSS.6.EE.B.7