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 the slope of 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 unit change 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 a linear equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a hamburger costs $8.90 and each topping costs $1.40, how many toppings did Dexter get?

Back

5 toppings.

Tags

CCSS.6.EE.B.7

Front

What is the equation for a fitness club membership that starts with 80 members and increases by 15 each month?

Back

y = 15x + 80.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the startup fee and monthly fee for joining an online learning community?

Back

The startup fee is $20 and the monthly fee is $5.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the equation in slope-intercept form for the online learning community fees.

Back

y = 5x + 20.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What does the variable 'y' represent in the context of Evan's fair visit?

Back

The total cost of going to the fair.

Tags

CCSS.HSF.LE.B.5

Front

If it costs $10 to enter the fair and $2 per ride, how can you express the total cost as a function of the number of rides?

Back

y = 2x + 10.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2