f(x) Composite Functions
Linear Word Problems
Combining
Units
Algebra
Strategies
100

Given f(x)=x+2, find f(3)

5

100

A grocery store has a sale for 6 bags of chips at a price of $5.55. At this discounted rate, how much would the store charge for 4 bags of chips?

$3.70

100

X-5=12

X=17

100

If a and b are negative numbers, what must be true of ab?

ab is positive.

200
Given f(x) =x+2 and g(x)=x^2, find g(-1)

1

200

You go to your favorite clothing store and purchase 10 articles of clothing for $690. Tops are $45 each and jeans are $125 each. Please determine how many tops and jeans you purchased.

T=7

J=3

200

-2+X=2X-5

3=X

200

The sum of two consecutive odd integers is m. What is the sum of the next two consecutive integers greater than m?

2m+3

300

Given f(x)= |x-4|, find f(3)

1

300

Two families go to see the latest Disney movie. The ticket price for adults is $15/adult and for children it's $90/kid. For ten people, the cost was $114. How many adults and kids went to the movie?

C=6

A=4

300

|-5|+X=10

X=5

300

Tai is 15 years older than Dmitri. In twelve years, Tai will be twice as old as Dmitri. How old is Tai now?

18

400


Given f(x)= |x-4| and g(x)=3-2x, find  f(g(x))





1-2x-11

400

You buy six tomato plants for your garden. Determinate plants are $5/plant and indeterminate plants are $7/plant. If you spend a total of $40, then how many indeterminate plants did you buy?

I=5

400

(1/3)x=80

x=240

400

Li is four years older than Mike and two years younger than Russel. If Mike is m-years-old, how old is Russel, in terms of m?

m+6

500

Given f(x)= |x| and g(x)=3x^3, find g(f(-4))

192

500

In Chemistry class, you're trying to mix a 50mL solution of 3% HCI. You have a 5% HCI solution and a 1% HCI solution. How many mL of the 5% solution will you need to make this mixture?

25mL

500

6x+3(x+2)=69

x=7

500

The price of an umbrella is reduced by half. If the new price is then reduced by 1/10, the resulting price is what fractional part of the original price?

45/100
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