Expressions
Solving Linear Equations
Quadratics
Exponential Functions
Systems
100
(x3y2z)(x4y3z3)
x7y5z4
100
After paying 5.12 for a salad, Nora has $27.10. How much did she have before buying lunch?
$32.22
100
What is the maximum/minimum and x-intercepts of the function: f(x) = x2 - 2x - 8?
Min: -9
X-Intercepts: -2 and 4
100
If the price of theater tickets increases 8% per year, about how long will it take to double the price?
10 years
100
x = 3
y = -2
(3,-2)
200
(3x2)3
27x6
200
8n + 7 = 31
n = 3
200
Factor the quadratic below.
12x2 - 4x - 16
4(3x - 4) (x + 1)
200
The population of spadefoot toads at the wetlands outside the high school is 20 and doubles each year.
Create an equation that models this situation where y represents the population and x is the number of years.
y = 20 x 2x
200
y = 2x + 1
y= x + 3
(2,5)
300
(x2 + +1) (x + 2)
x3 + 2x2 + x + 2
300
-2 = 2 + x/4
x = -16
300
What are the solutions to the equation below?
f(x) = 2x2 + 3x - 5
-2.5 and 1
300
A chemist has 40 grams of a substance that has a half-life of 1 day.
Create an equation that models this situation where y is the grams of the substance and x is the number of days.
y = 40 x 1/2x
300
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 shirts, how many of each did she buy?
Fancy: 2
Plain: 5
400
Simplify
(x + 3)2
x2 + 6x + 9
400
-7b-1 = -5(b+3)
b = 7
400
Find the number of units (x) that produce the maximum revenue, where R = 900x − 0.1x2 . R is the total revenue (in dollars) and x is the number of units sold.
4500 units
400
A population of 800 beetles is growing each month at a rate of 5%.
Create an equation that models this situation where y is the population and x is the number of months.
800 x (1 + 0.05)x
400
y >= 3x - 1
y<= x+1
500
3(2x - 2) + 3x - 4
9x - 10
500
Ryan has made a $3,000 down payment on a car. The total cost of the car was $7,500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
$125 per month
500
After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the function h(t) = 144t – 16t2. After how many seconds will the ball hit the ground.
9 seconds
500
A mouse population is 25,000 and decreasing by 20% per year.
Create an equation that models this situation where y is the population and x is the number of years.
25,000 x 0.80x
500
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Cars: 3
Buses: 4