(Blank)
(Blank)
(Blank)
Word Problems
Systems of equation
100

Create an equation that satisfies the given conditions

Passes through (2,5); Slope is 0

Y= 5

100

Let f(x)=2x+3 and g(x)=x2−1.

Find the composite function (f∘g)(x)

2x2+1

100

find the domain 

sqrt 2-x

(- infinity, -2) 

100

A cyclist rides from point  C(2,5) to point D(8,15).

What is the slope from point C to D 

5/3

100

x= 2y 

x+ y =3

(2,1) 

200

A small business’s profit P(t) over time can be modeled by the equation:

4x + 3x2

what is the rate of change from their first month open, and their 6th month in business


rate of change 25 

200

What is the domain and range of a linear function?


All real numbers 

200

describe the transformation 

-4 (-x-7)2+3

vertical stretch of 4 

reflection over x axis and y axis 

left 7 

up 3 

200

Find the equation of a line that is parallel to the line given by the equation 3x−4y=12 and passes through the point (1,−2)

y= 3/4x - 11/4

200

y = 3x - 1 

4x + y = -8

(-1,-4)

300

create an equation that satisfies the conditions: 

Passes through (8,-9), and the slope is undefined

x=8

300

find the  X and Y intercepts

3/2 x + 5/3 y = 10

x= 20/3

y=6 

300

find the domain 

2x+3 

--------

x^2 - 4

(negative infinity, -2) U (-2,2) U (2, infiniti)

300

A gym has a membership pricing structure based on the number of months you commit to:

For a commitment of 1 to 3 months, the cost is $50 per month.

For a commitment of 4 to 6 months, the cost is a flat fee of $140.

For a commitment of 7 to 12 months, the cost is $240 for the first 6 months, plus $30 for each additional month beyond 6 months

300

x - 2y = -2 

7x - 3y = 19

(4,3)

400

Create an equation that satisfies the given conditions

Passes through (3,-2) and (5,6)

y= 4x -14

400

create a problem for the other team 

Yippie!!

400

find the domain 

24 + x 

----------

sqrt x2-9 

(−∞,−3)∪(3,∞)

400

Find the distance between the points P (-3,4) and Q(2,-1). Find out if the distance is greater or less than the distance of points B (1,2) and G (-2,5) 

PQ is greater distance 

400

3x + 2y = 10 

4x - y = 6

(2,2)

500

water is being drained out of a pool, at the rate of 2.5 gallons per minute. At the start there were 6230 gallons. 

Create a linear function that shows the water at any given time & 

how long does it take to completely drain the pool in hours

equation

6230 - 2.5t

Takes 

41.53 hours OR 2492 minutes 

500

Find f(-2), f(0), f(3)

f(−2)=−1 

f(0)=−4 

f(3)=8

500

f(x)= 3x-4 

g(x)= sqrt x+5

find (h∘k)(4)

5

500

Find the equation of a line that is perpendicular to the same line 3x−4y=123 and passes through the point (1,−2)

y= -4/3 x - 2/3

500

7x + 2y = 24 

8x + 2y = 30

(6, -9)

M
e
n
u