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Linear Functions
Quadratic Functions
Graphing & Modeling
Quadratics
Percent Change
Exponentials Functions
100

Given y = 5x + 9, find the slope and y-intercept of the equation.

slope = 5

y-intercept = 9

100

What are the solutions to the equation x2 + 4x = 21?

x = -7

x = 3

100

See slide 3 in the deck!

(-1,0), (2,0), (0,-4)

100

A pair of Jordans was marked down by 20% to a sale price of $76.00. 


What was the original price of the Jordans?

$95

100

Standard form for an exponential function is 

y = P * Qx.


What does P represent and what does Q represent?

P = initial value or y-intercept

Q = growth or decay factor

200
Given y = -3x - 6, we know the y-intercept is (0,-6) and the x-intercept is (-2,0).


Find three other points on this line.

Answers may vary. Here's a few:

(1, -9)

(2, -12)

(3, -15)

200

Factor x2 - 12x + 36.

(x - 6)2

200

Write y = x2 + 6x+ 17 in vertex form.

y = (x + 3)2 + 8

(using the complete the square method)

200

Since 1972, the use of public transit – subways, buses, commuter rail, etc – in America has steadily increased. In 1972, Americans took 6.57 billion trips on public transit. By 2013, that number had risen to 10.65 billion. 

From 1972 to 2013, by what percent has the number of trips per year increased?

62.1%

200

You deposit $150 into your bank account and receive 3% interest every year for 6 years.

Write an expression to represent that amount of money you'll have after 6 years.

150(1+0.03)6

300

Solve the system of equations below using substitution or elimination.

3x + 4y = 12

4x - y = -3

x = 0

y = 3

OR 

(0, 3)

300

Solve x2 - 2x = 15.

x = 5

x = -3

300

See slide 5 in the deck!

Answer: (-3,8), x = -3

300

The length of a rectangle has been increased by 120%. Meanwhile, the width of the rectangle is decreased by 60%.

What is the overall percent change to the area of the rectangle? 

-28%

(See slide 8 for solution!)

300

The population of the African country Zambia is growing continuously at a rate of about 3% per year. 

In 2019, the population was 13.47 million. 

Assuming this rate of growth will continue, write an expression that represents Zambia's population in the year 2030.

(See slide 9 for solution!)

400
Cows have four legs and chickens have two legs. You look out onto a field of chickens and cows and count 280 animals and 1000 legs. 


How many more cows are there than chickens?

There are 160 more cows than chickens. (220 cows & 60 chickens)

400

Produce a different quadratic that shares a common factor with x2 - 4x - 32.

Factors are (x - 8) and (x + 4). So anything with one of these!

Ex: x2 + 8x + 16 = (x + 4) (x + 4)

400

Standard Form: y = 2x2 - 4x + 2

Factored Form: y = (2x - 2) (x - 1)

Vertex Form: y = 2(x - 1)2


Sketch the graph of the function!

(See slide 7 for solution!)

400

Write an expression that represents the following situation: increase a quantity x by 22%, then decrease this amount by 65%.

y = (1.22x) * (0.35)

400

See slide 11!

Red

Purple

Green

Blue