1

Math 8 – Ms. Campos

Unit 1- Integers

2017-2018

Name_____________________________ #__________

Day Test Schedule

Date:Sept

Lesson Topic Homework

W 6 First Day Return Signed Contract T 7 1 Introduction to Integers Lesson 1- page 4 F 8 2 Add and Subtract Integers Lesson 2 – page 6

M 1 11 3 Multiply & Divide Integers Lesson 3 – page 9 T 2 12 4 Order of Operations

Quiz – Lesson 1-3 Lesson 4 – page 12

W 3 13 5 Evaluate Algebraic Expressions Lesson 5 – page 15

T 4 14 6

Temperature Conversion Quiz – Lesson 4-5

Lesson 6 – page 18

F 5 15 7 Translating Algebraic Expressions Lesson 7 – page 21

M 6 18 8 Combine Like Terms Quiz – Lesson 6-7

Lesson 8 – page 25

T 1 19 9 Perimeter Problems Lesson 9 – page 27 W 2 20 10 Distributive Property

(Area Problems) Lesson 10 – page 29

T 21 NO SCHOOL F 22 NO SCHOOL

M 3 25

Review Finish Review and Check Answers on Website – Will be collected tomorrow

T 4 26 Test Good Luck!

2

Lesson 1 Aim: I can identify the determine the different number sets that make up the Real Number System Warm Up: What are the different types of numbers that make up the Real Number System?

Number set Definition Examples Non-Examples

Natural numbers

Whole numbers

Integers

Rational numbers

Irrational numbers

3

Guided Practice: Problem Set: Name the Integer 1) 5 degrees above 0 _____ 2) a loss of 2 yards _____ 3) a withdrawal of $25 _____ 4) a deposit of $25 _____ 5) 3 inches of rainfall _____ Put in order from least to greatest 6) 3, -8, 0, 11, -7 ____________________________ 7) -11, 12, 9, -8, -1 ____________________________ Inequality Symbols

<

≤

>

≥

Use < or > to make a true statement 8) -2 ____-8 9) 0 ____-6 10) -5____-2 11) -8____-10

4

Lesson 1 –Homework Write the number that describes each situation: 1) loss of 5 kg _____ 2) gain of 3 kg _____ 3) rise of 1,500 ft in elevation _____ 4) 15 feet below sea level _____ 5) 12 inches of snowfall ____ Put in order from least to greatest 6) 10, -5, 1, 12, 0 _______________________ 7) 55, -25, -11, 52, -74 ______________________ Compare the integers using < or > 8) 7 ____ 4 9) 6 ____ -13 10) -6 ____ -3 11) 7 ____ -3 12) -2 ____ 11 13) -14 ____ -10 14) -4 ____ -9 15) -8 ____ 0 16) What type of numbers are used to represent temperatures below zero? 17) Circle all the numbers that are integers and explain why you chose them.

25 1½ -18 0 -"# 4 %

" &#

# -17 "'

(

________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ 18) List the first five non-negative integers. 19) List the first five positive integers. 20) 8 ∙ "

& 21) 5 ∙ &

( 22) 8 ∙ '

, 23) 6 ∙ &

"

5

Lesson 2 Aim: I can add and subtract integers Warm Up: You buy a belt for $10 and some socks. Each pair of socks costs $3. The total shipping cost is $3. What is the total cost if you buy 11 pairs of socks?

A) $36 B) $43 C) $46 D) 50 Guided Practice: Adding Integers 1) -2 + -3 2) -2 + 8 3) -6 + 1 4) -4 + 4

5) 6 + (-3) 6) 10 + -5 + 3

Subtracting Integers 1) 6 – 10 2) -3 – 8 3) 4 - -6 4) -2 – (-8) 5) -2 - -2 6) 7 + -3 Problem Set: Adding Integers 1) 8 + -7 2) – 8 + 2 3) -1 + -7 4) -3 + (-3)

5) 6 + (-6) 6) -2 + - 5 + 3

Subtracting Integers

1) -12 - 7 + 4 2) -5 – 6 + 2 – 11 3) 5 - 12 4) 8 – (-9) 5) -7 – (-10) 6) -4 - -4 7) -8 + 12 – 9 + 4 8) 5 – 6 + 2 – 11 9) 8 – 9 + 3 – 7

6

Lesson 2 - Homework

Simplify: 1) -4 + (-4) 2) 8 + (-8) 3) -3 - (-8) 4) 5 - 9 5) -3 + 12 6) -6 - 10 7) -2 + 13 8) 8 + ( -9)

9) -8 + 12 10) -7 + 5 + 1 11) 1 – 6 – 8 12) -8 + 0 + 12

13) 7 – 9 – 8 – 5 14) 7 – 15 – 2 15) -14 + 16 – 1 16) -5 + 1 – 8 + 7 17) An elevator began on the fourth floor. It went up 6 floors, dropped 3 floors, and then went up another two floors. What floor did the elevator stop on? 18) On Monday afternoon the temperature was 6°. That night it dropped 8°. What was the temperature on Tuesday morning? 19) In the morning, Mrs. Boxer deposited $135 to her bank account. She withdrew $235 in the afternoon. What number describes her account’s net change?

20) Circle all the numbers that are NOT integers and explain why you chose them.

-40 57 %,&

-6+6 %# %(

& -6 13

21) 6 ∙ "

& 22) 7 ∙ /

' 23) 3 ∙ %

" 24) 9 ∙ &

"

7

Lesson 3 Aim: I can multiply and divide integers Warm Up: 1) 6 – 12 2) 7 – 8 3) -9 – 4 – 1 4) -6 – 1 5) 8 – (– 9) 6) – 9 – 9 + 14 7) 0 – 15 + 12 8) -20 – (– 22) Guided Practice: Multiplying and Dividing Integers 1) (-6)(-2 ) 2) (5)(-3) 3) (-5)(0) 4) (6)(-2)(3)(-1)(-4)

5) (-2)(1)(-3)(4) 6) (-1)³ 7) (-1)246 8) (-1)485

9) -255

10) -36 ÷ -9 11) 08 12)

80

13) -324

14) (4)(-9) 15) (-4)2 16) -42 17) -282

18) (-8)(-5) 19)

-30

20) (-6)(7) 21) 0( 22) -2 ÷ 0 12) (-38)(24)(96)(0)

Zero Rules: When 0 is in the numerator of a fraction the answer is _____________________________. When 0 is in the denominator of a fraction the answer is __________________________. *** Remember ….. 0 Under is U__________________________________

8

Problem Set: A. Multiply Fractions by Hand

1) −8 ∙ "

& 2) −14 ∙ − /

' 3) 7 ∙ − %

' 4) 18 ∙ &

"

5) −8 ∙ "

# 6) −14 ∙ − "

& 7) 5 ∙ − &

( 8) 12 ∙ (

/

B. Fractions using a Calculator

How to input fractions into the calculator

You must use the 𝑎 89 button!

Use (−) if you need to make a number negative. 1) 𝟏

𝟒+ 𝟐

𝟑 2) 𝟑 𝟑𝟒 − 𝟐

𝟏𝟓 3) 𝟔 𝟑𝟒 ÷−

𝟏𝟐

4) 𝟓 𝟏𝟐×𝟐

𝟑𝟒 5) "

%D+ '

&D 6) −(

#−"

#

7)− &

"× (# 8)

%E÷ −1 %

"

9

Lesson 3 - Homework Simplify. Only use calculator on Fraction Problems 1) (-3)(9) 2) (-5)(-1) 3) (-9)(0) 4) (-7)(-3) 5) (-24)(−(

,) 6) (−&

")(-18) 7) (3)(-1)(6)(-2) 8) (-4)(-23)

9) -555

10) -18 ÷ -9 11) 07 12)

30

13)

"(− &

" 14)

%"÷ (− %

") 15) (

E× '

%( 16)

%(+ (− %

()

17) '/− (

/ 18) 0 ÷ #

E 19) -2 × "

' 20) −5 (

,×−4 &

%D

21) -5 – 6 22) (-5)(-6) 23) (-2)(8) 24) -2 + 8 25) 12 - - 4 26) -4 + 12 27) -9 – 3 28) -9 · -3 29) Give an example of an irrational number. 30) Which of the following numbers are integers and explain why you chose them? -5, 0, 3, −%#

&, −"

(

10

Lesson 4 Aim: I can simplify numerical expressions Warm Up: Does the order in which these operations are done make a difference?

6 + 3 x 4 6 + 3 x 4

9 x 4 = 36 6 + 12 = 18 Which is correct, and why?

Order of Operations – _________________________________________________________________

Guided Practice:

1) 5 + 2 x 6 2) 10 ÷ 5 x 2 3) 7(1 + 2) – 5 ÷ 5 4) 3 · 4 + 8 15 – 2 · 5 5) -4 + (-5)(3) 6) -9 + (-4)(-2) 7) )3612(58 ÷-´+ 8) )28(5242 -+×-

11

Problem Set:

9) 7)4(2)2(3 2 -+ 10) 3316)5(4

2 -+ 11) )212(734 2-+- 12) 4)9(

32

-

13) 2(-3)2 14) 2 - 32 15) 2 - (-3)2 16) (-7)(4) – 8 17) 0.34 + 2.4(3)

18) -32 19) (-3)2 20) -33 21) (-3)3 22) (-3)4

23) 2 + 7 ∙ 4 – 15 ÷ 3 + 7 23) 20 ÷ 4 + 3 ∙ 6 – 12 ÷ 4 24) 8(4) + 9 ÷ 3 – 1 ∙ 5

12

Lesson 4 –Homework

1) 8 + 4 ∙ 2 2) 16 – 32 ÷ 4 3) 5 + 7(2) 4) 3(8 – 4) + 6

5) 7 ∙ 8– 4 ÷ 2 + 5 ∙ 6 6) 14 – 16 ÷ 8 + 9(5) 7) ( E F%,÷"&F"(()

8) 9 – 14 ÷ 2 + 3 ∙ 4

9) (#()(35) – 14 ÷ 7 10) (7 – 5)6 + 4 11) (0.9)(0.2) + (0.6)(0.4) 12) 10 – 3(5 – 2)

13) 735)43(2 ÷-+ 14) 54215 3 ×÷+ 15) 24 ÷ 6 + 33 – 5(2) + (36 ÷ 4)

16) How do we simplify a numerical expression? 17) Which operation would be performed first when simplifying 2 × (3 – 8 + 5) ÷ 12?

18) Which set of numbers would be most appropriate to use to represent the number of household online-devices a family has in their home? A) integers B) whole numbers C) rational numbers

13

Lesson 5 Aim: I can evaluate algebraic expressions Warm Up: Simplify 1) -43 + 6 + 13 2)-5 + 1 – 8 + 7 3) 7 · 5 + 62 4) 60 – 3 · 42

Guided Practice:

A. Algebraic Expression vs. Algebraic Equation

B. Parts of an Expression

Name the coefficient: _______ Coefficient - ________________________________________

Name the variable: _______ Variable – __________________________________________

Name the exponent:_______ Exponent – _________________________________________

Name the constant: ________ Constant - ________________________________________

Name the base: __________ Base - ________________________________________________

C. Evaluating Algebraic Expressions

1 - __________________________________________________________________________ 2 - __________________________________________________________________________ Evaluate the following expressions:

1) 3x - 2 for x = 4 2) 5(x + 3) when x = 2 3) -13 - 5x if x = -2

4) 2a5 if a = 3 5) (2a)5 when a = 3 6) "GF/&8H"9

if a = 8, b = 6, c = 2

3𝑥& + 5

14

Problem Set:

7) 5x – 2y if x = 3; y = 6 8) &( x + 3 for x = 20 9) 3x + 5y - 8 for x = 3.1; y = -.8

10) 19 - 2m for m = -6 11) ab4 if a = 3; b = -2 12) 2x2 if x = -3

13) (2x)2 when x = -3 14) (4x + 3y)2 + 9 for x = -%& and y = -

&" 15) "GH,

&8F# for a = -2 and b = -3

15

Lesson 5 - Homework

1) −𝑥&for x = -5

2) 6x – 4y for x = −&", y = -3

3) "JF&K&JFK

for x = -4, y = 3

4) Given the formula h = 60t – 5t2, to answer the following question. If an object is shot upward from the ground, what is its height (h) above the ground after 5 seconds (t)?

5) The formula for area of a trapezoid is %&ℎ(𝑏% + 𝑏&). Find the area of a trapezoid when h = 8,

𝑏% = 5, 𝑎𝑛𝑑𝑏& = 7

6) Given: A = %

# B = -4

Which of the following results as an integer? A) A + B B) A – B C) AB D) A ÷ B

16

Lesson 6 Aim: I can convert Celsius and Fahrenheit temperatures. Warm Up:

1. Which scale do we use to measure the weather?

2. On which scale does water boil at 100? Guided Practice:

A. The Fahrenheit Scale Customary System Report weather, cooking, house thermometers (swimming pool, bath tub, body temp)

B. The Celsius Scale Metric System Used for scientific work Based on a scale of 100 Also called Centigrade

Comparison of Temperature Scales

Fahrenheit Celsius

water boils

body temperature

water freezes

ConversionFormulas

𝐶 = (E(𝐹 − 32) 𝐹 = E

(𝐶 + 32

1. NewYorkCity’saveragehightemperatureforMayis68℉.WhatisNewYorkCity’saveragehightemperatureinMayindegreesCelsius?

2. Arecipesaysthatmuffinsshouldbebakedat180℃.WhatisthistemperatureindegreesFahrenheit?

17

Problem Set:

Convert the following temperatures using the given formulas

𝐶 = (E(𝐹 − 32) 𝐹 = E

(𝐶 + 32

Show all work- Non Calculator Show all work Calculator (round to the nearest tenth)

3. 50 ° C

6. 56°𝐶

4. 77 ° F

7. 107°𝐹

5. 194 ° F

8. 77°𝐶

18

Lesson 6 - Homework

Convert the following temperatures using the given formulas. Round to the nearest tenth when necessary.

𝐶 = (E(𝐹 − 32) 𝐹 = E

(𝐶 + 32

Show all work- Non Calculator Show all work Calculator (round to the nearest tenth)

1. 35 ° C

4. 96 ° F

2. 113 ° F

5. 97 ° C

3. 120 ° C

6. 75 ° F

7. The melting point for zinc is 787℉. What is the melting point of zinc in degrees Celsius?

8. The formula for area of a triangle is 𝐴 = %

&𝑏ℎ. Find the area of a triangle where b = 7 and h = 12.

9. Which of the following results in a negative number? A) (-3)(-4) B) (-3)2 C) -32 D) (-3)(0) 10. Which of the following results in a positive number? A) -(-2)2 B) (-2)3 C) (-3)(0) D) (-2)2

19

Lesson 7 Aim: I can translate verbal expressions to algebraic expressions Warm Up: 1) -4 + (-5)(3) 2) Which answer is greater? (3x)² or 3x² when x = 2

3) What is the difference between an expression and an equation?

___________________________________________________________________________________

___________________________________________________________________________________

Guided Practice:

x + 5

x – 5

5x

5 x

Remember….

Translate and Simplify 1) The product of -2 and -6 2) 7 subtracted from -10 3) 8 less than 10

More Than / Less Than ___________________

Subtracted From

___________________

20

Write an algebraic expression for each 1) 3 times a number plus 6 2) 4 less than a number times 2 3) x divided by 8 4) 12 subtracted by x

Math each phrase with the correct algebraic expression

___ 5) n increased by 11 A) n – 19

___ 6) 11 less than n B) n + 11

___ 7) the sum of n and 19 C) n + 19

___ 8) 11 more than n D) n – 11

___ 9) n increased by 19 E) 19 – n

F) 11 - n

Problem Set: Write each as an algebraic expression

10) m increased by 8 11) 4 less than c 12) the sum of b and 14

13) twice Don’s age increased by 8 14) 40 more than Meg’s bowling score

15) Abe’s savings decreased by $540 16) Bill’s batting average increased by 12

17) Bert’s cab company charges $1.00 plus and additional $3.00 per mile for a ride. Write an expression to represent the total charge for m, miles.

18) Madeline’s cab company charges $3.00 plus and additional $2.00 per mile for a ride. Write an expression to represent the total charge for m, miles.

19) To rent a paddleboat in Belmont State Park, the cost is $7.00 plus $3.50 per hour. Write an expression to present the cost of the rental for h, hours.

20) An amusement park charges $5 for admission and $2 for each ride. Write an expression for the total cost of admission and r rides.

21

Lesson 7 - Homework

1) w decreased by 4 2) the sum of m and 3 3) 9 less than x 4) 7 less than three times x

6) 5 decreased by 3 times a number 7) 12 more than twice m

8) 8 less than a number divided by 5 9) $60 more than 6 times Ben’s salary

10) The sum of 25 and 3 times Joe’s age 11) 3° more than the current temperature

12) 13 less than 6 times a number 13) 7 more than twice the length of a rectangle

14) A hot-air balloon is at a height of 2,250 feet. It descends 150 feet each minute. Write an expression for the balloon’s height at m minutes.

15) A hiking club charges $60 to join and $12 for each hiking trip. Write an expression to model the total cost of h hiking trips.

16) A florist divides 60 roses into equal bunches of f, flowers. Write an algebraic expressions for the number of bunches the florist can make.

17) An object’s weight on Mars is 0.38 times the object’s weight on Earth. If e represent the weight of an object on the earth, write an algebraic expression for an object’s weight on Mars.

#18-20 Translate and Simplify: 18) The difference of 8 and -9 19) The quotient of -36 and 12 20) The sum of -5 and -8

21) An elevator began on the fourth floor. It went up 6 floors, dropped 3 floors, and then went up another two floors. What floor did the elevator stop on?

22) On Monday afternoon the temperature was 6°. That night it dropped 8°. What was the temperature on Tuesday morning?

23) Explain the difference between the way you represent “7 decreased by x” and “7 less than x”. Is there any value of x for which the two representations are the same?

22

Lesson 8 Aim: I can simplify algebraic expressions by combining like terms Warm Up: Phrase Expression five more than twice a number the product of a number and 6 seven divided by twice a number three times a number decreased by 11 Guided Practice:

A. Identifying polynomials

6x-4+32 Monomial/Term- __________________________________________________________________________ _______________________________________________________________________________________ Like terms - ___________________________________________________________________________ _______________________________________________________________________________________ Binomial - _____________________________________________________________________________ _______________________________________________________________________________________ Trinomial - ____________________________________________________________________________ _______________________________________________________________________________________ Polynomial - ___________________________________________________________________________

23

1) What is the coefficient of p in a - 7p + 21? ______ What is the constant? ________________ 2) What are the like terms of 7r + 5 + 3r? _________________ What is the constant? ______________ 3) What is the coefficient of a in the expression 4c + 5 + a? __________

A) Are these like terms? Why or Why Not?

1) -4x and 6x 2) 7ab and 13ab 3) 3x and 3x2

4) 4x2y3 and 9x2y3

5) 37x and 4 6) 4 and -9

7) 3x2y and 6xy2

B) Simplify by Combining like terms

24

Problem Set: A. Determine if the following are like terms or unlike terms:

1) 3x + 2x² 2) 5xy + x 3) x²y - xy² 4) 4y² - 2y²

5) 0.1ab and 4ab 6) x2y and -5x2y 7) -2ab2 and -2a2b 8) 3x2 and 5x4

B. Simplifying algebraic expressions: 1) 6x + 3x 2) 5x + x 3) 2x + 7 4) -9x + 4x 5) -2a – 11a 6) -2a + 2a 7) -3x – 2x + 5 8) 10y – 3y – y 9) 9y – 3 + 6y – 8 10) 9x + 4y 11) -7x + 7x + 3 12) -4x – -3x

13) 8y – 5a + 8y – 5a 14) 4a – 7 + 5a + 10 – 3a 15) 6x2 + 3x – 8x2

16) 7 + 6y – 2 – 4y 17) 8 + 11m – 5 – 7m 18) –x – x + 2x

25

Lesson 8 - Homework Simplify 1) -6b + 5b 2) -3a - 4a 3) -5k + 5k 4) -8 + 5b + 2 – b 5) 4a – 6a – a 6) 7k – 8k – k 7) 5t – 6 – t – 8 8) -m – 14 – m + 6 9) g – 5 +2g + 10 10) -7 – z – 3z + 2 11) 5c + 8 – 8c – 9 12) -4k – 3m + 6k + m

Identify each polynomial: (monomial, binomial, trinomial) 13) a + 7p – 21 ______________________________ 14) 7r + 5 + 3r ________________________________

15) 4xy _____________________________________ 16) 3x – 7y + 3z _____________________________

17) 3x2 – 7x – 9 ______________________________ 18) 6x + 8x ________________________________

19) Mr. Torquato has $450 in his bank and deposits $20 per month. Write an algebraic expression to represent how much he has in m, months.

20) Pasquale got a job working at Subway and will be making $9.25 per hour. Write an expressions to represent how much he will make in h,hours.

21) The formula for volume of a cylinder is = 𝜋𝑟&ℎ . If the radius is 3 and the height is 12, express the volume in terms of 𝜋.

26

Lesson 9

Aim: I can express the perimeter of a polygon algebraically

Warm Up: How much fencing does Jeremy need to make a dog run in his yard?

10ft 8ft

Guided Practice:

Perimeter of polygons ______________________________________________________________________

__________________________________________________________________________________________

__________________________________________________________________________________________

Express the perimeter in simplest terms of x.

1) 2) 3)

Problem Set: 4) 5) 2x – 1 3x + 2 x 5) Express the perimeter of a triangle whose sides are x + 8, x + 5, and 2x – 6 in simplest terms of x? 6) Find the missing side of the triangle if the perimeter is 6x + 8 represented as 15x + 12 2x - 1

x 3x - 1

2x + 3

4x + 3

6x + 2

5

9x

27

Lesson 9- Homework

Express the perimeter in simplest terms of x: 1) 2) 3) 4)

5) Express the perimeter of a quadrilateral whose sides are 7x - 10, 4x + 8, 2x + 12, and 5x – 10 in simplest terms of x. 6) Evaluate 5x – 2y – 7 for x = -2, y = 4 7) When is the sum of a positive integer and a negative

integer negative?

8) Which expressions are equivalent?

A) 6x + 7y – 10x B) 7y +7x + 3x C) 8x + 2x + 7y D) -4x + y + 6y Rational or Irrational 9) &

E 10) -98 11) 16 12) 20 13) 5𝜋

2x + 3

5x – 7y

4x + 3y

x 2x + 3

2x + 1

2x + 1

28

Lesson 10 Aim: I can simplify algebraic expressions using the Distributive Property Warm Up: 1) Express the perimeter in terms of x: 2) Simplify and Evaluate: when x = 2 and y = 3

6 + 7x + 9y + 3x – 2 – 4y

Guided Practice

A. Distributive Property : Express in simplest terms of x.

1) 2(x + 3) 2) 2(4x – 5y) 3) 3(4x + 5y – 6z + 8) 4) - (-2x + 4) 5) -6(7k + .5) 6)

%"(15x + 27)

7) "

# (7n + 1) 8) -4(1 + 11x) + 20x 9) -3(5x – 1) -8x

Problem Set: 10) 9(3 – 10n) – 3(10n + 1) 11) 3 – 2(3x + 5) 12) 8 – 3(2x – 7) + 5x 13) -4(3x – 3) + 9(x + 1) 14) 10.8(x - 3.6) 15) – (

# ( 4n – 3) 16) -2( -8x – 10)

B. Area of rectangles : Express the area in simplest terms of x

1) 2) 3) 5 7 5

2x + 3 x + 6

29

Lesson 10 - Homework Express in simplest terms of x. 1) 5(3x – 4) 2) 3(2x + 7y) 3) -6(1 + 11b) 4) -10(a – 5)

5) - (-6x + 9) 6) -2(3x + .6) 10) 4(7 – 5n) – 2(3n + 4) 11) 7(2x2 – 3x ) + 10x

9) -9(3 – 10n) – 3 7) %" (7n + 1) 8) 2(1 – 4.3k) – 2

12) Express the area of the rectangle. 13) Express the perimeter of the triangle.

14) It the width of a rectangle is 6 and length is (x + 7), express the area in simplest terms of x.

15) If Lisa’s yard has a length of 9 and a width of x – 2.

A) Express the amount of fence she would need to enclose her yard in terms of x.

B) Express the amount fertilizer she will need in terms of x.

9x + 7

4 5x - 6 2x - 8

3x

30

Unit1Review

Writethenumberthatbestdescribesthesituation:1)Againof20yards 2)Awithdrawalof100dollarsCompare:Use<or>3)-10_____-9 4)-1_____-7Simplify(roundtothenearesttenthifnecessary)5)-15+8 6)5–(-6) 7)10+(-6) 8)-22–13+-6

9)-9&"–(-3) 10)(-4)(-5 %

&) 11)(-1)(5)(-3) 12)

08

13)26÷-13 14)(-0.27)(-0.6)15)–2(,÷- #

%&

16)Theelevatorbeginsonthefifthfloorandgoesup5floors,andgoesdown7floors.Whatflooristheelevatoronnow?Simplify(Showallwork)17)-25+3–718)52+(-5)(7)19)3∙22+24÷820)(15÷3)2+9÷3

21)Evaluate3x+8yforx=-1andy=-422)Evaluate"(x-6yforx=-5andy=-4

31

23)Evaluate695

-+

xx forx=3 24)Evaluate:3.3p+2forp=9

Giventhefollowingformulas:C=𝟓𝟗(F-32) F=𝟗

𝟓𝐂+32

25)Convert9degreesCelsiustoFahrenheit.26)Convert59degreesFahrenheittoCelsius.(Roundtothenearesttenth) Simplifyeachalgebraicexpressions27)-5x–7x 28)6x–9y+4x–y 29)10x–6x–4x30)3(2x+5)–5 31)–(5x–8)32)25–(-5x+10) 33)6(10x+2)+3x

34)"#3𝑥 − 4 35)3–2(4x–8)+5x 36)-3(4x–9)+2x

32

37)Expresstheareaofarectangle 38)Expresstheperimeterinsimplesttermsofx:insimplesttermsofx,whosewidthis4andlengthis2x–8 7x+2 3x–8 38)Youcanestimatethestoppingdistance,neededforacargoingataspeedofxmphbyaddingthereaction

distance,x,andthebrakingdistance(]^

"D).Theexpression𝑥 + (]

^

"D)isusedtorepresentthestopping

distance.Howmuchlongeristhestoppingdistanceforaracecargoing120mphthanonegoing90mph?39)Afitnessclubcharges$100tojoinand$33foreachmonth.Writeanalgebraicexpressionforthetotalcostofthefitnessclubformmonths.Writeanalgebraicexpressionsforeachphrase.40)3lessthantheproductof8andanumber41)thequotientofanumberand5subtractedfrom3

Identify each umber using: integer, rational, irrational

42) 49 43) -4 44) −%' 45) 24 46) 17