Solve quadratics by factoring.

Solve Quadratics by Factoring hw 56

**EXIT SLIP**

**Name**

Date

Period

Assignment

Date

Period

Assignment

How do I solve quadratic equations?

ESSENTIAL QUESTION

5. Set L = {3, 4, 5, 6, 7, 8}

Set M = {4, 6, 8}

Set N = {3, 6}

Find (L M) N.

A.

{4, 6, 8}

B.

{3, 4, 6, 8}

C.

{3, 6}

D.

{3, 4, 5, 6, 7, 8}

6. Solve the formula below for g.

E = kgh

Which equation is solved for g?

A. g = Ehk B. g =

C. g = D. g =

2

7. Solve the equation below for n.

d = (f - 2)n

A. n = dn + 2 C. n =

B. n = D. n =

9. The Venn diagram below shows the length of books three students read.

Theo

190

320

215

Sendy 220 235

280 225

Daana

What is the longest book Sendy and Daana have in common?

8. Solve for w.

n w

6 12

A. w = 72n B. w =

C. w = D. w = 2n

=

**_ __**

Ek

h

___

2

Eh

k

___

2

E

kh

___

2

f - 2

d

**___**

d

f - 2

**___**

d + 2

f

___

2

n

n

2

__

_

2

180

A. 320

B. 220

C. 180

D. 235

10. Katina asked 85 friends whether they

play chess or checkers. 22 like chess only. 17 like both and 10 like neither. How many like checkers?

friends

checkers chess A. 53

B. 36

C. 43

D. 46

1. Precious asked her friends what kind of house they like. If 85 like modern, ranch, or both, how many like only modern?

23

12 17

9

? 19

6

2. Marquis is cataloging his 80 comic books.

He finds 30 are only super hero.

22 are both super hero and adventure.

15 are neither. How many are adventure?

comics

super adventure

hero

3. Which equation is equivalent to

N = (15 + 1.7x) - 9?

A. N = 15 + 1.7(x - 9)

B. N = (15 + 1.7)x - 9

C. N = (15 + 1.7) - 0.5x

D. N = 15 + (1.7x - 9)

Ranch

Modern Craftsman

4. Vanessa wants to figure out how much she earns an hour. She charges $75 plus 20% of materials. The equation below shows if she works 15 hours for a client.

15h = 0.2m + 75

Which equation can be used if materials cost $250?

A. h = 50 + 75

B. h = + 75

C. h = + 5

D. h = + 50

50

15

50

15

75

15

__

__

__

Find the zeroes.

3x = 27 x - 3x - 10 = 0

OBJECTIVE

Standard

Date

Class

**Notes**

Essential Question

All students will advance at least one level.

All students will advance at least one level.

I, ____________, will do my best to complete my activities and follow these rules:

1. I will stay in my seat and keep my hands, feet and comments to myself.

2. I will keep my voice down.

3. I will always stay on task and work to learn.

4. I will not interrupt the teacher.

5. I will not bring any negativity into the classroom.

**Which city experienced the most extreme temperature change throughout this 24-hour period? Why? Describe the distributions.**

MAFS.912.A-APR.2.3

**Sequences Review cw 49**

**What percent of the females did not play a sport?**

What percent of the students do not play any sport?

What percent of the males play exactly two sports?

What percent of the students who play no sports are male?

Describe the distribution of the data below. Choose an appropriate display to support your findings.

240, 220, 180, 190, 240, 190, 220, 200, 190

What percent of the students do not play any sport?

What percent of the males play exactly two sports?

What percent of the students who play no sports are male?

Describe the distribution of the data below. Choose an appropriate display to support your findings.

240, 220, 180, 190, 240, 190, 220, 200, 190

**Solve for x.**

(2 ) = 4 9 = 3

(2 ) = 4 9 = 3

36. The student council is selling rolls of gift wrap and ribbon for the holiday season. The council charges $10 for a roll of gift wrap and $3.50 for a roll of ribbon. The student council will receive, as profit, 60% of the total sales. The student council has a fundraising goal of at least $1,500. Let g equal the number of rolls of gift wrap sold and let r equal the number of rolls of ribbon sold.

39. A local store makes and sells handmade ceramic cookware. The store earns a profit of

one dollar more on each plate sold than it earns by selling one cup. If the profit the store earns in one day on the sales of cups and plates is given by the expression

kx + (k - 1)y

, what does y represent if k is the profit earned from selling each plate?

A.

the number of cups sold in one day

B.

the number of plates sold in one day

C.

the profit earned on the cups sold in one day

D.

the profit earned on the plates sold in one day

3 4 x

(2x + 3) 3x

Solve for x.

(3 ) = 27 64 = 4

2 6 2x

(2x - 5) 3x

Solve each equation by completing the square.

-x + 4x = 20 3n - 6n = 17

2

2

Find each axis of symmetry.

y = -x - 4x + 1

y = -2x - x + 4

y = x + 3x - 2

1

2

_

2

2

2

Determine the number of days at which the family will start saving money. Justify your answer in terms of the context.

Solve each equation.

x = 9

2x = 32

3x = 75

quadratic

when input is

equation

squared

has 2 solutions

zero principle

If a b = 0,

then either a = 0

or b = 0

Find the zeroes.

x + 2x = 8

x - 3x = 40

Draw the graph to show

g(x) = f(x - 3)

Write an equation for the function

f(x) = 2x - 7

after sliding 6 units to the left.

Write an equation for the function

f(x) = -x + 3

after sliding 7 units to the right.

2

2

2

2

Find the zeroes.

2x - 5x - 3 = 0

15x - 4x - 3 = 0

y = x(x - 1)( x + 3)

2

2

Find the zeroes.

2x + 11x - 15 = 6

3x - 11x - 24 = -4

2x = 32

2

2

2

2

2

**

IN YOUR NOTEBOOK**

1 2 3 4 5

f(x)

g(x)

If

g(x) = f(x + k)

what is k?

f(x)

1. Set equation to zero.

2. Factor.

3. Set each factor to zero, solve.

2

g(x) = a f(x) h(x) = b f(x)

.

g(x) = a f(x) h(x) = b f(x)

.

f(x)

g(x)

g(x)

h(x)

h(x)

.

.

**

IN YOUR NOTEBOOK

**

*

Solve the system of equations.

2x + 3y = 24

5x + 7y = 55