Solve systems of equations using substitution.

Spiral Review 8

hw 37

**EXIT SLIP**

**Name**

Date

Period

Assignment

Date

Period

Assignment

How do I solve systems of 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

__

__

__

Solve for x.

A total of 380

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-CED.1.3

**algebra i wb**

pp 522-23

pp 522-23

**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.

y = x + 4

and

Determine whether the map represents a function.

Substitution Property

Solve for n. Solve for x.

Q = 3n d x + x =

2

2 1 11

3 4 2

_ _ __

Solve by using substitution.

y = -2x - 3

and

If

a = b

AND

a = c

THEN

b = c.

y = x + 4

3

2

_

Solve for r. Solve for b.

3pr - q = w D =

Simplify each radical expression. Determine whether rational or irrational.

8 50 + 3 50 32

Solve each equation for n.

n - 2 n - 5 n - 7 n - 11

12 9 6 8

ab

c

=

=

8

2

12

3

y = - x - 4

5

2

3

2

Solve for x.

y = -x + 24

2x + 3y = 70

**Solve for x.**

y = x +

and

y = x +

and

**y = x +**

1

3

**Choose your method and solve.**

5y = -2x + 34

and

2y = -3x + 29

5y = -2x + 34

and

2y = -3x + 29

y = x - 2 and y = - x + 4

5

3

1

3

1

2

3

2

4

3

When f(x) = g(x), the solution is x.

What is the solution of f(x) = g(x)?

f(x)

= 3x - 1

g(x)

= 2x + 4

IN YOUR NOTEBOOK

Solve each system.

x - y = 4 3x + 4y = -14

5x - 2y = -13 4x + 6y = -24

IN YOUR NOTEBOOK

Solve each system.

x + y = 12 4x + 3y = 11

3x + 2y = 42 8x - 4y = -8