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Quadradtic Functions and Equations
100

∣6-4k∣ -30=0

-6, 9

100

A band sells x premium tickets and y regular tickets for a concert.

• A premium ticket costs $20. • A regular ticket costs $5 less than a premium ticket. • The band raises $2145 from selling tickets. What coefficients would complete the equation representing the relationship between x and y. 

___ x + ___ y = 2145

20x + 15y= 2145

100

Given the coordinates listed find the x-intercept, y-intercept, and the rate of change.

(-1, -8), (3, 0), (6,6)

x-intercept 3

y-intercept -6

rate of change 2

100

Given the following inequalities, draw a graph showing a solid or dotted line for each and shade the appropriate solution set.

y< - x - 1

y≥ x + 1

see pic on phone

100

Solve x2-4x-12=0

x=6 and x=-2

200

∣8x -11∣ + 45 = 6

no solutions

200

Doug has 8 square pieces of wood. Each piece of wood has a side length of s centimeters. The total area of all 8 pieces of wood is 200 square centimeters.

Create a quadradtic equation Doug can use to find the side length of each piece of wood.

8s2=200

200

A function is shown.

f(x)=2x+1

Select all that are true when f(x) is multiplied by 3.

A. The x-intercept increases.

B. The y-intercept increases.

C. The slope increases.

D The x-intercept decreases

B and C

200

Write 25𝑥2 − 49𝑦2 in factored form.

(5𝑥 + 7𝑦)(5𝑥 − 7𝑦)

200

Solve x2-2x-28=7

x=7 and x=-5

300

Fill in the blank.

(xyz)2 -1= (_______) * (xyz -1)

xyz+1

300

5x2-160x + 6179=M(x)

Find M(10)

5079

300

Write the equation for a quadratic function that has x-intercepts (-2,0) and (7,0) and passes through the point (5,-42). Write in factored form

3=a

factored form

y=3(x+2)(x-7)

400

-3∣ y+ 5∣ + 27 = 0

4 and -14

400

224=(2y)3

y=?

y=8

400

(𝑥 + 3)(𝑥 − 5) − 9(2𝑥2 + 3𝑥)

-17x2 - 29x - 15

400

Rewrite the equation for the quadratic function that has x-intercepts (-2,0) and (7,0) and passes through the point (5, -42) in standard form. 

y=3(x+2)(x-7)

y=3(x2-5x-14)

standard form: y=3x2-15x-42

500

Solve the inequality |5𝑥𝑥 − 8| − 10 < 17 and then graph the solution on a number line.

-3 4/5 < x < 7

number line in notebook

500

611/3k√ 61

K=3

500

2.4y+ 1.4x3y2 - 3.2x2y ÷ (2xy)

1.2y2/x + 0.7x2y - 1.6x

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