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DISCRETE AND CONTINUOUS DATA UNIT 2

Total questions: 34

Worksheet time: 3hrs 57mins

Name
Class
Date
1.

The perimeter of a rectangle is 100 cm. The length of the rectangle can be represented by (x+2), and its width can be represented by (x). What is the length of the rectangle in centimeters?

a)

24

b)

26

c)

22

d)

100

2.

Solve the literal equation for the given variable.

Hint: solve for B, and there are dots in between each thing. You will also have to multiply by the reciprocal

a)

2Ah\frac{2A}{h}

b)

2h\frac{2}{h}

c)

2Ah

d)

Ah2\frac{Ah}{2}

3.

Select all that applies for the following function:

a)

Domain: All real Numbers

b)

Range: All Real Numbers

c)

Domain: 5x5-5\le x\le5

d)

Range: h(x)0Range:\ h\left(x\right)\ge0

4.

Which Describes the domain and Range for the function:


y = -3x +9


Hint: TYPE INTO CALCULATOR OR DESMOS AND LOOK AT IT

a)

DOMAIN: ALL REAL NUMBERS

RANGE: ALL REAL NUMBERS

b)

domain: x3x\ge-3


range: all real numbers

c)

domain: x 3x\ge\ -3
range: y9y\ge9

d)

its not this one.

5.
What is the Range?
a)

-3 ≤ y < 2

b)
-3 < y ≤ 2
c)

-7 ≤ f(x) ≤ 2

d)

7x2-7\le x\le2   

6.

What is the solution to f(33) ?

a)
33
b)
11
c)
10
d)
8
7.

What is the solution to f(1)?

HINT: What is the value for the range when the domain is 1

a)

0

b)

-3

c)

3

d)

2.1

8.

What is the solution to f(-5)?

HINT: What is the value for the range when the domain is -5

a)

1

b)

0

c)

2

d)

-2.10

9.

Does this mapping represent y as a function of x?

a)

Function

b)

Not a Function

10.

484(10X 14)>11648-4\left(10X\ -14\right)>116  
What is the solution set for above?
hint: COMBINE LIKE TERMS

a)

x<12440x<\frac{124}{-40}  

b)

x>1240x>-\frac{12}{40}  

c)

X<10840X<\frac{108}{-40}  

d)

X<310X<\frac{3}{-10}  

11.

What is the domain in inequality notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

-2 ≤ x ≤ 2

d)

4 ≥ y ≥ -4

12.

What is the range in inequality notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

-2 ≤ x ≤ 2

d)

4r(x)4-4\le r\left(x\right)\le4  

13.

What is the domain in inequality notation?

a)

( -5 , 5 )

b)

5x5-5\le x\le5  

c)

-5 < x < 5

d)

-2 ≥ y > -4

14.
a)
a ≥ 4
b)
a ≥ -4
c)
a ≤ 4
d)
a ≤ -4
15.
55c + 13 ≤ 75c + 39
a)

c1013c\le\frac{10}{13}  

b)

c1013c\ge\frac{−10}{13}  

c)

c1310c\ge-\frac{13}{10}  

d)

c5080c\le-\frac{50}{80}  

16.

30b + 53 ≥ 18b − 83

a)

b343b\ge-\frac{34}{3}  

b)

b <- 11.33

c)

b>8

d)

b < -34

17.

Solve the following equation for the variable.

3 + 12(3p + 2) = 9(p - 3)

a)

-20

b)

-13

c)

-2

d)

−179-\frac{17}{9}

−9


17

18.
Does this mapping diagram represent a function?
a)
No, because an input value goes to multiple output values
b)
Yes, because each input goes to one and only one output
19.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
20.
What is the domain of the function for this situation?
a)

0 < h < 80

b)

0 ≤ h ≤ 80

c)

0≤ t ≤ 4.5

d)

0 < t < 4.5

21.

When is Coach Ortiz Birthday?

A picture of Coach Ortiz and his Wife is shown and also his favorite restaurant . AKA G.O.A.T.S.

GREATEST OF ALL TIME.

Hint: CLICK ON THE PICTURE

a)

CINCO DE MAYO

b)

MAY 25

c)

MAY 15

d)

APRIL 15

22.

Simplify: 7y2 5y + 9y  3y27y^2\ -5y\ +\ 9y\ -\ 3y^2  

a)

16y2  +4y16y^{2\ \ }+4y  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

4y2 + 4y 4y^{2\ }+\ 4y\  

23.

Given the function q(x)= x2 12q\left(x\right)=-\ x^2\ -12  , which of the following is a value in the range when the domain is { -4 , -1 , 1 , 7}

a)

-4

b)

-12

c)

-9

d)

-61

24.

Given

z(x)=2(x5)2+8z\left(x\right)=2\left(x-5\right)^2+8  , what is the value of z(-4) ?

For your solution, JUST TYPE THE NUMBER PLEASE.

(a)  

25.

What is the solution to the following equation:

5y + 34 = -2(-7y+1)

a)
y = -4
b)
y = 9
c)
y = 4
d)

y=3619y=\frac{36}{19}  

26.

These are Coach Ortiz favorite shoes that are out right now, they are called Reverse Grinches, What are they called?

a)

Yeezy Foam Runners

b)

Geezys

c)

Maverick City

d)

Hoka's

e)

Reverse Grinches

27.

This is one of Coach Ortiz favorite restaurants what is it called?

a)

Blue Iguana

b)

Rancho Grande

c)

Taqueria El Real

d)

LUPE TORTILLA

28.

What game does Coach Ortiz LOVE?

hint: Click On the Picture

a)

Apex Legends

b)

Call of Duty Warzone

c)

FORTNITE, Howland still buys the battle pass

d)

MLB THE SHOW 24

29.
Solve the literal equation for the given variable.
a)

b=2Ahb=\frac{2A}{h}  

b)

b=2hb=\frac{2}{h}  

c)

b=2Ahb=2Ah  

d)

b=Ah2b=\frac{Ah}{2}  

30.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

Infinite Solutions

31.

Coach Ortiz loves these shoes by Wolf and Shepherd, what are they called?

Hint: Click on the picture, I'm a size 10.5 only in Wolf and Shepherd.

a)
Marathon Bolt Sport
b)
Ultra Glide Runner
c)
Velocity Sprint Max
d)
Speed Racer Pro
32.
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
33.
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x ≤ -2
34.
a)
m < 6
b)
m < -6
c)
m > 6
d)
m > -6