Writing Linear Equations from 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 the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

How do you write a linear equation from a word problem?

Back

Identify the quantities involved, determine the relationship between them, and express this relationship in the form of a linear equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Joe has $150 in his savings account and saves $40 per month. Write the equation for the amount in his account after x months.

Back

y = 40x + 150

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Connor has sold 15 cups of lemonade and sells 5 more cups per hour. Write the equation for the total cups sold after x hours.

Back

y = 5x + 15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Sally plans to walk 12 miles every week. Write the equation for the total miles walked after x weeks.

Back

y = 12x

Tags

CCSS.6.EE.C.9

Front

Amelia has $100 in her savings account and saves $20 per week. Write the equation for the amount in her account after x weeks.

Back

y = 20x + 100

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Write the equation for the total charge after x hours.

Back

y = 90x + 50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

Read the problem carefully to understand the context and identify the variables involved.