Writing Equations for Linear Word Problems

Front

What is the equation for the total cost (C) to rent a paddle boat for h hours if the rental company charges a $15 deposit fee plus $2 for each hour?

Back

C = 2h + 15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you express Margaret's salary (S) if she earns $3 an hour and 90% of her tips after working h hours and earning d dollars in tips?

Back

S = 3h + 0.90d

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What equation represents Norb's salary (S) if he earns $4 per hour and 95% of his tips after working t hours and earning d dollars in tips?

Back

S = 4t + 0.95d

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a rental company charges $150 a week plus $0.10 per mile, what is the equation for the total cost (y) for a 2-week period based on the number of miles (x)?

Back

y = 2(150) + 0.10x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What equation represents the number of shirts (s) Lisa purchased if she bought 3 more than twice the number of pants (p)?

Back

s = 3 + 2p

Tags

CCSS.6.EE.C.9

Front

Define a linear equation in the context of word problems.

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.C.8C

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

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, representing the starting point of the line on the y-axis.

Front

How can you identify the dependent and independent variables in a word problem?

Back

The dependent variable is what you are trying to find or measure, while the independent variable is what you can control or change.

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables involved and what they represent in the context of the problem.

Tags

CCSS.HSA.CED.A.1