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4th 9-weeks Save Algebra 1

Total questions: 75

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
In the equation, y = mx + b, the letter b is the ___________.
a)
y-intercept
b)
x-intercept
c)
slope
d)
rate of change
2.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
3
c)
4
d)
-4
3.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
4.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
5.

Bob has $150 in his savings account and saves $40 per month. Which function models his savings?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

6.
A golf course charges $15 to rent golf clubs and charges $25 per round to play.  Write an equation to represent the total cost, T, for one player.
a)
T = 15 + 25r
b)
T = 15g + 25r
c)
T = 40 r
d)
T = 15r + 25
7.
a)

6

b)

-6

c)

14

d)

-14

8.
What is the y-intercept of the line?
a)
 (0,1/2)
b)
(0,1)
c)
(0, -1/2)
d)
(0, -1)
9.
What is the x- intercept of the line?
a)
(1, 0)
b)
(2, 0)
c)
( -1, 0)
d)
(-2, 0)
10.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
11.
What is the y-intercept in the equation x + 2y = 4
a)
(0, 0)
b)
(0, 2)
c)
(4, 0)
d)
(2, 0)
12.

What is the value for f(10)?

a)

$25

b)

$30

c)

$32

d)

$35

13.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
14.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
15.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
16.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
17.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
18.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
19.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
20.
This system has _____ solutions.
a)
0
b)
1
c)
2
d)
Infinitely many
21.
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
a)
(0,3)
b)
(3,0)
c)
No solution(parallel lines)
d)
Infinitely many solutions
22.

Select the correct graph for THIS inequality (ignore the one in the image!) y > 7/3 x + 2

a)

A

b)

B

c)

C

d)

D

23.

Select the correct graph for THIS inequality (ignore the one in the image) y > 3/2 x + 2

a)

A

b)

B

c)

C

d)

D

24.

How can I tell if an inequality will have a dashed line?

a)

It has an equal sign.

b)

The symbol is greater than or less than.

c)

The symbol has "or equal to."

d)

You just guess.

25.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(3, 0)

26.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

27.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
28.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
29.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x   and  y ≤ -2x + 4
b)
y > 3x   and  y > -2x + 4
c)
y < 3x   and  y > -2x + 3
d)
y > 3x   and  y < -2x + 4
30.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
31.

What is the vertex?

a)

(-2,0)

b)

(0,0)

c)

(0,-4)

d)

(2,0)

32.

Select the answer that has a, b, and c correctly labeled:

y=−x2+2x−9y=-x^2+2x-9  

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

33.

What is the equation of the line of symmetry for this quadratic function?

a)

x = -3

b)

x= .5

c)

x = 4

d)

x = -12

34.

Which direction will this parabola open?

y=2x2+8x−16y=2x^2+8x-16  

a)

upwards

b)

downwards

35.

Does this function open up or down?

a)

up

b)

down

36.

What is the y-intercept?

a)

(0,-4)

b)

(-4,0)

c)

(-2,0)

d)

(2,0)

37.

What are the x-intercepts (zeros)?

a)

(-2,0) and (2,0)

b)

(0,2) and (0,-2)

c)

(0,-4)

d)

(-2,-4) and (2,-4)

38.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

39.

What is the equation for the axis of symmetry?

a)

x=0

b)

x=2

c)

x=-4

d)

y=0

40.

Does the function open up or down?

a)

up

b)

down

41.

What is the y-intercept?

a)

(-1,8)

b)

(8,-1)

c)

(0,6)

d)

(6,0)

42.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
43.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
44.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
45.
a)
-8
b)
-4
c)
2
d)
-9
46.
a)
F
b)
G
c)
H
d)
J
47.
a)
F
b)
G
c)
H
d)
J
48.
a)
F
b)
G
c)
H
d)
J
49.
Which quadratic is the narrowest graph?
a)
y = 3x2
b)
y = 4x2
c)
y = 2x2
50.
Which quadratic graph is the widest?
a)
y = 5x2
b)
y = -¼x2
c)
y = -½x2
d)
y = 5x2
51.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
52.

What are the roots of the function?

a)

x = 4, -1

b)

(-4, 1)

c)

x = -4, 1

d)

(4, 0) (-1, 0)

53.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
54.
How many solutions does the equation 4x2 + 4x + 1 = 0 have?
a)
0
b)
1
c)
2
d)
More than 2
55.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
56.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

57.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

58.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
59.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
60.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
61.

What type of function is y=7(5)x

a)

Exponential Growth

b)

Linear Function

c)

Exponential Decay

d)

Quadratic Function

62.

Which of the followings functions shows an initial amout of $15 and an increase of 35% ?

a)

y=15(35)x

b)

y=15(1.35)x

c)

y=15(0.35)x

d)

y=35(15)x

63.

What is the y-intercept of the function f(x)=2(4)x ?

a)

2

b)

4

c)

(4)x

d)

8

64.

What is the Growth/Decay factor of the function f(x)= 2(4)x ?

a)

2

b)

8

c)

4

d)

x

65.

What is the exponential factor of the following graph?

a)

Growth

b)

Deccay

c)

Linear

d)

None

66.

What is the exponential factor of the graph?

a)

Growth

b)

Decay

c)

Linear

d)

None

67.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
68.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Above
69.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
70.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

71.

What is the asymptote of this function?

a)

y = 0

b)

y = 5

c)

y = 2

d)

y = 1

72.

Which function will show exponential behavior?


F(x) = (4.3)x 

or

G(x) = 4.3x + 9

a)
F(x)
b)
G(x)
c)
both
d)
neither
73.
What is the equation that best represents the graph?
a)
y=2y
b)
y=2x
c)
y=2-x
d)
y=x2
74.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
75.

What statement is true about y = 3x ?

a)

It is exponential decay because the decay rate is less than 1 but greater than 0

b)

It is exponential growth because the growth rate is greater than 1

c)

It is exponential decay because the growth rate is greater than 1

d)

It is exponential growth because the growth rate is less than 1 but greater than 0

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