Solving Linear Equations - Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving a word problem involving a linear equation?

Back

The first step is to identify the variables and what they represent in the context of the problem.

Tags

CCSS.8.EE.C.7B

Front

How do you translate a word problem into a linear equation?

Back

You translate a word problem into a linear equation by identifying key information and relationships described in the problem and expressing them mathematically.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of the constant term in a linear equation?

Back

The constant term represents a fixed value in the equation, which can be a starting point or total amount in word problems.

Tags

CCSS.HSF.LE.B.5

Front

In the equation 85 + 12x = 613, what does 'x' represent?

Back

'x' represents the number of students who went on the trip.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate the variable in a linear equation?

Back

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

Tags

CCSS.7.EE.B.4A

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change between the two variables in the equation.

Tags

CCSS.8.EE.B.5

Front

What is a real-world example of a linear equation?

Back

A real-world example is calculating the total cost of items purchased, where the total cost is a linear function of the number of items.

Tags

CCSS.8.EE.C.7B

Front

How can you check if your solution to a linear 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.