Linear
Exponential
Quadratics
Systems
Exponents
100

What is the slope of a line that goes through the points: (-3, 7) and (1, -1) ?

-2

100

Write an exponential growth function and an exponential decay function.

Sample answers. 

Growth: y=3(2)^x

Decay: y=3(1/2)^x

100

Factor.

x^2+7x-44

(x+11)(x-4)

100

What is the solution to the system graphed below?

(1, -3)

100

Simplify using rules of exponents:

(x^-2y^3)^3

(y^9)/x^6

200

Write the equation of the line below in slope intercept form:

y=1/2x+2

200

The population of a city after x years (since 2020) is modeled by the equation

y=7800(1.08)^x

Predict the population of the city in 2032.

19,642 people.

200

Solve for x

5x^2 - 17x+14 = 0

(5x-7)(x-2)

7/5 and 2

200

Find the solution to the system:

x+2y=14; y=3x-14

(6, 4)

200

Simplify using rules of exponents:

(6x^5y^3)/(2x^2y)

3x^3y^2

300

Solve for n.

2n-3(4n+5)=-6(n-3)-1

n=-8

300

Write an equation for the graph below:

y=5^x or y=1*(5)^x

300

The height, in ft (h), of a rock after s seconds it is dropped by a bird is shown by the equation:

h(s) = -16s^2 + 144

What is the maximum height of the rock? How many seconds until the rock reaches the ground? 

Maximum = 144 ft. 3 seconds.

300

Find the solution to the system:

4x+2y=2; 3x+y=4

(3, -5)

300

Simplify and write your answer using an exponent.

3^(2/3) sqrt(3)

3^(7/6)

400

Rewrite the literal equation solved for p.

n=(p-k)/j

p=nj+k

400

Write an equation that creates the function table below.

y=6*3^x

400

Factor Completely

9x^3-66x^2+21x

3x(3x-1)(x-7)

400

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

85 Students and 70 Adults

400

Write an expression using a radical that is equivalent to...

a^(1/6) times a^(3/4)


12 sqrt(a^11)

500

You are looking at two different lawncare companies to weed and mulch flower beds. Greenscape Lawncare offers to charge $99 for the mulch plus $12 per hr for the labor. US Landscapers offer to charge $23 per hr for the job including the mulch. How long of a job would the two companies charge the same amount?

9 hours

500

The town mayor reports that incoming revenues for a given year were $2,000,000. The budget director predicts that revenues will decrease by 4% per year. How much revenue will the town have available 5 years from the date of the town mayor’s report? Write and use an exponential function.

y=2,000,000(0.96)^x

$1,630,745.40

500

Find the zeroes and the coordinates of the vertex for the function:

y=3x^2+6x-8

Zeroes: 0.91 and -2.91

Vertex: (-1, -11)

500

Find the solution to the system:

12x-8y=18; 6x=4y+9

Infinitely Many Solutions

500

Simplify the expression:

 

((2x^-4yz^0)/(3x^3y^-2))^-2

(9x^14)/(4y^6)

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