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Honors Intermediate Algebra Tri-1 Review

Total questions: 86

Worksheet time: 6hrs 39mins

Name
Class
Date
1.
Leslie cleans the barns for the horses.  Her time spent cleaning can be modeled by the equation y = 15 x + 30, where x represents the number of stalls that contains horses.  What is the meaning of the y-intercept?
a)
The time it takes to clean one horse
b)
the time it takes to clean one stall
c)
the time it takes to clean an empty barn
d)
the times it takes to clean each of the stalls with a horse
2.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
3.

Write the standard form of the equation for the graph of this line.

a)

4x + 4y = -1

b)

4x + 4y = 1

c)

x/4 + y/4 = 1

d)

x + y = -4

4.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

5.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
6.

What are the x- and y-intercepts of the linear function given by the equation x + y = -2

a)

(-2, -2)

b)

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

c)

(0, 0)

d)

(2, 0) and (0, 2)

7.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
8.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
9.
If a line goes through the points (4, 5) and (4, 7), what type of line is it?
a)
Horizontal line
b)
Vertical line
c)
Slanted line
d)
No way to tell
10.
Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
a)
2x + 5y = 120
b)
12x + 15y = 120
c)
12 + 15y = 2x
d)
12x + 15 = 120
11.
What is the y-intercept of
2x-5y=35?
a)
(0,-7)
b)
(-7,0)
c)
(35/2, 0)
d)
(0,35/2)
12.
Which inequality is graphed on the given coordinate plane?
a)
 y > x + 1
b)
y < x + 1
c)
y ≥ -x + 1
d)
y ≤ -x + 1
13.
Which inequality is graphed on the given coordinate plane?
a)
 y  < 2x +2
b)
y > 1/2x - 2
c)
 y ≥ - 2x +2
d)
 y ≥ 2x - 2
14.
The given graph represents the inequality  x < -1, TRUE or FALSE?
a)
TRUE
b)
FALSE
15.
Which ordered pair(s) is a solution to the given system?
a)
(5, -5)
b)
(0,0)
c)
(-5, -2)
d)
(3,-3)
16.
Which ordered pair(s) is a solution to the given system?
a)
(5,0)
b)
(1,-3)
c)
(3,3)
d)
(2,1)
17.
This system has an infinite number of solutions, TRUE or FALSE?
a)
TRUE
b)
FALSE
18.
Which inequality is graphed on the given coordinate plane?
a)
y < x + 2
b)
y > x + 2
c)
y ≤ x + 2
19.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
20.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
21.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(1, -1)
d)
(5, 20)
22.
The graph shown is for the inequality y ≥ x. The graph has one thing wrong.
What is it?
a)
The shading is on the wrong side of the boundary line
b)
The boundary line should be dotted or dashed
c)
The boundary line has the wrong y-intercept
d)
The boundary line has the wrong slope
23.
Which of the following equations match the given graph?
a)
y > 2x - 5
b)
y ≥ 7/4x + 2
c)
x < -5
d)
x > -5
24.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

25.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
26.

Where is the function increasing?

a)

x > 4

b)

x ≥ 4

c)

x > 6

d)

4 < x < 6

27.
Name the x-intercept(s)?
a)
(0,0) only
b)
(4,0) only
c)
(2,4)
d)
both (0,0) and (4,0)
28.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
29.
For what intervals of x is f(x) positive?
a)
x<-7 and x>3
b)
-7<x<3
c)
x>1
d)
x<-6
30.

Where is the function decreasing?

a)

x ≥ 1

b)

x > 1

c)

y≤2

d)

y≥2

31.

Where is the function POSITIVE?

a)

x > 0

b)

0 < x < 4

c)

x < 2

d)

x > 2

32.

Where is the function increasing?

a)

x ≥ 1

b)

x > 1

c)

y < -4

d)

y > -4

33.

Where is the function decreasing?

a)

All Real Numbers

b)

x > -1

c)

x < -1

d)

x ≥ -1

34.
When is the velocity decreasing?
a)
0 < t < 60
b)
40 < t < 60
c)
15 < t < 40
d)
-40 < t < 0
35.
How long did it take Sam to get to school?
a)
5 minutes
b)
20 minutes
c)
1.25 km
d)
1.25 minutes
36.
Which statement is true about this graph?
a)
This function is always constant
b)
This function is always increasing
c)
This function is never increasing
d)
This function is both increasing and decreasing
37.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
38.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
39.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
40.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
41.

What is the RANGE of this graph?

a)

-7<y<5

b)

-7≤y<5

c)

-3<y<1

d)

-3≤y<1

42.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
43.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
44.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
45.
a)
Function
b)
Not a Function
46.
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)
47.

What is the RANGE of this function?

a)

y > 0

b)

All Positive Numbers

c)

All Real Numbers

d)

y ≤ 0

48.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
49.

A car rental company charges a $50 rental fee plus $0.43 per mile. The total cost for a rental car driven x miles is f(x) = 50 + 0.43x. What is the reasonable domain and range?

a)

domain:{x: x ≥ 0}; range:{y: y ≥ 0}

b)

domain:{x: x ≥ 0}; range:{y: y ≥ 50}

c)

domain:{x: x ≥ 50}; range:{y: y ≥ 0}

d)

domain:{x: x ≥ 50}; range:{y: y ≥ 50}

50.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
51.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
52.
Given g(x) =
 4x - 7, find g(-9). 
a)
g(-9) = 29
b)
g(-9) = -43
53.
Given h(x) = -9x +5, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
54.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
55.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
56.
Complete the function notation below
f(____) = 214
a)
1990
b)
1991
c)
1989
d)
1994
57.
If f(x) = x - 5, what is the value of x when f(x) = 15?
a)
20
b)
10
c)
5
d)
0
58.
Which ordered pair below would prevent this table from being a function?
a)
(10, 10)
b)
(2, 4)
c)
(6, 1)
d)
(-2, 0)
59.
What is the value of x in:
f(3) = 2x + 1
a)
3
b)
2
c)
1
d)
0
60.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
61.

Given the function: f(x) = 2x - 1. What is your independent variable?

a)

f(x)

b)

y

c)

x

d)

2x-1

62.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
63.

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

a)

SLOPE

b)

RATE OF CHANGE

c)

STARTING VALUE (ZERO TERM)

d)

COMMON RATIO

64.

What is the starting term for the function: f(x) = 300(1.16)x?

a)

300

b)

1.16

c)

.16

d)

x

65.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
66.
Is this exponential growth or decay?
a)
Growth
b)
Decay
67.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
68.

Is this rule an example of Exponential GROWTH or DECAY.

A=1200(.85)6

a)

Growth

b)

Decay

69.

Is this rule an example of Exponential GROWTH or DECAY.

A=10(1.01)3

a)

Growth

b)

Decay

70.

What is the RANGE of the function?

a)

All Real Numbers

b)

y > 0

c)

y ≥ 0

d)

Not Enough Information to know

71.

Is this rule an example of Exponential GROWTH or DECAY.

A=10(1.01)3

a)

Growth

b)

Decay

72.

Is this rule an example of Exponential GROWTH or DECAY.

A=1200(.85)6

a)

Growth

b)

Decay

73.
Given y=3x determine the y-intercept 
a)
(0,1)
b)
(0,3)
74.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
75.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
76.
Is the pictured graph growth, decay, or linear?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
77.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
78.
Is this exponential growth or decay?
a)
Growth
b)
Decay
79.

What is the domain?

a)

All Real Numbers

b)

All Positive Numbers

c)

-10 < x < 10

d)

-10 ≤ x ≤ 10

80.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
81.

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

a)

SLOPE

b)

RATE OF CHANGE

c)

STARTING VALUE (ZERO TERM)

d)

COMMON RATIO

82.

Where is the asymptote located for the function: f(x) = 2(4)x-1 - 4

a)

There is no asymptote

b)

x = -4

c)

y = -4

d)

y > -4

83.
Compare f(x) = 3x- 4 with the basic function g(x) = 3x
a)
4 units up
b)
4 units to the left
c)
4 units to the right
d)
4 units down
84.
You invest $400 for 5 years and the interest rate is 4.29% each year. 
a)
y=400(1 - 0.0429)5
b)
y=400(1+.0429)5
c)
y=400(1+ 4.29)5
d)
y=400e0.049*5
85.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1 + .08)x
c)
y=15,000(1 - .08)x
d)
y=15,000(0.08)x
86.

What is the horizontal asymptote for the graph of

f(x)= -2(3)x+4 - 8 ?

a)

y=8

b)

y=-8

c)

x=-8

d)

x=-4

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