Equations with Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Tags

CCSS.5.NBT.A.2

Front

How do you isolate a variable in an equation?

Back

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

Tags

CCSS.6.EE.B.7

Front

What is the first step in solving the equation 38 - 4x = 6x - 12?

Back

The first step is to combine like terms by adding 4x to both sides of the equation.

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

How do you set up an equation to compare two cell phone plans?

Back

You set up an equation by equating the total costs of both plans, including fixed monthly fees and variable costs based on usage.

Tags

CCSS.8.EE.C.7B

Front

What is the formula to find the time it takes for two candles to burn to the same length?

Back

The formula is based on the initial lengths of the candles and their burn rates, set equal to each other.

Front

How do you convert weeks into months when solving a problem?

Back

To convert weeks into months, divide the number of weeks by 4, since there are approximately 4 weeks in a month.

Tags

CCSS.6.RP.A.3D

Front

What is the significance of the coefficients in a linear equation?

Back

Coefficients represent the rate of change or the amount of change in the dependent variable for each unit change in the independent variable.

Tags

CCSS.HSF.LE.B.5

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the relationship between the slopes of two lines in a linear equation?

Back

The slopes indicate the rate of change; if two lines have the same slope, they are parallel; if they have different slopes, they will intersect.

Tags

CCSS.8.EE.B.5