Linear Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when it is 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 in a linear equation represent?

Back

The slope 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 is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you write an equation for a situation where a quantity decreases over time?

Back

You write the equation in the form y = -mx + b, where m is the amount of decrease per time unit and b is the initial quantity.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you write an equation for a situation where a quantity increases over time?

Back

You write the equation in the form y = mx + b, where m is the amount of increase per time unit and b is the initial quantity.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

If Sandra has a $20 gift card and spends $3 each month, what is the equation to find her remaining balance after x months?

Back

y = -3x + 20.

Tags

CCSS.6.EE.C.9

Front

If Jerry makes $7 per hour and has $20, what is the equation for his total money after x hours?

Back

y = 7x + 20.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

How do you set up an equation to find the number of items sold given total revenue?

Back

Set up the equation as total revenue = (price per item * number of items) + other income.

Tags

CCSS.HSA.CED.A.3

Front

What is the total amount Bob has in his savings account after x months if he saves $40 per month?

Back

y = 40x + 150.

Tags

CCSS.6.EE.C.9

Front

How do you find the point where two linear equations are equal?

Back

Set the two equations equal to each other and solve for x.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6