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Preparing for Final Exam #1

Total questions: 40

Worksheet time: 3hrs 54mins

Name
Class
Date
1.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
2.
A rectangle has width (2x + 3) and length (2x - 4).  What is the perimeter of the rectangle?
a)
4x - 12
b)
4x - 1
c)
8x - 2
d)
4x2 - 2x - 12
3.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
4.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
5.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
6.

Subtract the polynomials.

(2x + 5y) - (3x - 2y)

a)

-x + 3y

b)

-x + 7y

c)

5x + 7y

d)

7xy + 1xy

7.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
8.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
9.

The art club collected $15 per member. The amount of money in the account after dues were collected from 17 members was $300. Assume the relationship is linear. Find and interpret the initial value.

a)

The art club had $45 to begin with.

b)

The art club makes $45 per member.

c)

The art club has $300 to start with.

10.

The population of DeSoto rose an average of 142 people per year. After 5 years, the population was 5,428 people. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

a)

ROC: The population DECREASED by 142 people per year.

Initial value: There were 5,248 people in the town to start with.

b)

ROC: The population INCREASED by 142 people per year.

Initial value: There were 4,718 people in the town to start with.

c)

ROC: The population INCREASED by 142 people per year.

Initial value: There were 5, 428 people in the town to start with.

11.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
12.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
13.
Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.
a)
For every homework assignment, it takes 5 more minutes to complete.
b)
For every homework assignment, it takes 2 more minutes to complete.
c)
It initially takes 5 minutes to get homework out and start working.
d)
It initially takes 2 minutes to get homework out and start working.
14.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
15.
X + 6 > 10
a)
X > 16
b)
X > -4
c)
X < -4
d)
X > 4
16.
-7x + 15 ≥ -20
a)
x ≥ -5
b)
x ≤ -5
c)
x ≥ 5
d)
x ≤ 5
17.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

18.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
19.
Identify the property you would use to solve this equation:
y – 7 = 28
a)
Additive Property of Equality
b)
Subtraction Property of Equality
c)
Multiplicative Property of Equality
d)
Division Property of Equality
20.
Name the first property you will use to solve this equation:
3(x – 7) = 42
a)
Multiplication Property of Equality
b)
Commutative property
c)
Associative Property
d)
Distributive Property
21.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
22.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
23.
Do I need to flip my sign?
2x -3y  ≥ 12
a)
Yes
b)
No
24.
Identify the y-intercept for the function:
y=-3x
a)
-3
b)
0
c)
1
d)
-1
25.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
26.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
27.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
28.

Solve the system:

x + 6y = 17

-x + 3y = -8

a)

(5, 2)

b)

(11, 1)

c)

(1, 11)

d)

no solution

29.

A ________________ are two or more equations that have the same variables and work together.

a)

graphing lines

b)

elimination method

c)

system of equations

d)

table

30.

Solve by elimination:

-9x-4y=-20


5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

31.

what is the variable that willl be "eliminated"?


5x - 4y = 11

5x + 4y = -14

a)

x variable

b)

y variables

c)

both variables

32.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
33.

When solving a system of linear equations, why does the elimination method work?

a)

You're able to substitute a value into the equation.

b)

You're able to eliminate a variable (they will equal zero)

c)

You're able to simplify the equations.

d)

It doesn't work.

34.
What are the factors of x2+3x-40
a)
(x+10)(x-4)
b)
(x+8)(x-5)
c)
(x+20)(x-2)
d)
(x+1)(x-3)
35.

Solve by factoring.

x2 + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

36.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
37.
A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t2 + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?
a)
.25 ft
b)
24 ft
c)
25 ft
d)
8 ft
38.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t2 + 64t + 80. What will be the object's maximum height? 
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
39.
The profit from selling local ballet tickets depends on the ticket price.  Using past receipts, we find that the profit can be modeled by the function p= -15x2 +600x +60 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?
a)
$6060
b)
$20
c)
$600
d)
$10,250
40.

What is another word for solutions

a)

zeros

b)

roots

c)

x-intercepts

d)

y-intercepts

e)

vertex

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