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)