Quiz about College Algebra Bonanza

Question 1

Find the slope of the line.  Hint: think of rise/run

Accepted Answer

-1

Answer

-2

Answer

2

Answer

1

Question 2

What type of slope?

Accepted Answer

undefined

Answer

negative

Answer

steep

Answer

zero slope

Question 3

Does the graph represent a function?

Accepted Answer

No, because the vertical line test shows there are repeating input values

Answer

Yes, because the vertical line test shows there are no repeating input values

Question 4

These two lines intersect at _____.

Accepted Answer

(4, -2)

Answer

(4, 2)

Answer

(-2, 4)

Answer

No solution

Question 5

Evaluate f(-2) if f(x) = x²+ 3

Accepted Answer

7

Answer

-1

Answer

1

Answer

-7

Question 6

Solve for x and y. Hint: Graph these in Desmos!

y = 2/3x - 2

y = -x + 3

Accepted Answer

(3,0)

Answer

(0,3)

Answer

(0,-3)

Answer

(-3,0)

Question 7

Solve for x and y. Hint: use substitution or Graph these in Desmos.

y = 2x + 1

y = 4x - 1

Accepted Answer

(1,3)

Answer

(-1,-3)

Answer

(-1,3)

Answer

(3,1)

Question 8

Find f(0) if f(x) = 5x³ + 2x² +3x

Accepted Answer

0

Answer

3

Answer

10

Answer

-2

Question 9

What is the solution to this system?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 10

What is the degree of the polynomial function? Hint: use your red sheet.

P(x)=3x⁴-7x²-2x⁷-x+4

Accepted Answer

7

Answer

4

Answer

2

Answer

11

Question 11

Which of the following is not a solution to this system of inequalities?

Accepted Answer

(0,-1)

Answer

(0,3)

Answer

(4,0)

Answer

(6,-2)

Question 12

Is (0,0) a solution to the system?

Accepted Answer

Solution

Answer

Not a solution

Question 13

Find A+B.  (Ignore the matrix brackets in your answer since they were hard to type)

Accepted Answer

8 10 8 1

Answer

12 25 7 1

Answer

10 30 0 1

Answer

can't add two together because the rows dont match columns

Question 14

In Matrix R (pictured) what is the value of element R_3,2

Accepted Answer

8

Answer

9.01

Answer

6

Answer

1

Question 15

Multiply.  (Ignore the matrix brackets in your answer since they were hard to type)

Accepted Answer

25 25 5

Answer

-25 25 -5

Answer

-10 -10 -6

Answer

10 10 6

Question 16

Subtract.  (Ignore the matrix brackets in your answer since they were hard to type)

Accepted Answer

-9 8 3 2

Answer

-5 -8 3 10

Answer

5 -8 3 10

Answer

-5 8 3 2

Question 17

You can multiply a 2X3 matrix by which matrix?

Accepted Answer

3X12

Answer

2X2

Answer

2X12

Answer

2X3

Question 18

What are the dimensions of this matrix?

Accepted Answer

3 x 2

Answer

2 x 3

Answer

6 x 1

Answer

1 x 6

Question 19

What must be true in order to ADD two matrices?

Accepted Answer

The dimensions must be equal.

Answer

They must be square.

Answer

The determinant can't equal 0.

Answer

The column of the 1st must equal the row of the 2nd.

Question 20

Solve the matrix using RREF
5x + 2y = -1
3x + 7y = 11

Accepted Answer

(-1 , 2)

Answer

(3, 4)

Answer

(2, -1)

Answer

(-3, 4)

Question 21

Calculate the determinant. Hint: use Desmos or a GC

Accepted Answer

0

Answer

none

Answer

-32

Answer

-8

Question 22

Find the determinant's value

Accepted Answer

-18

Answer

-23

Answer

-2

Answer

2

Question 23

Which isn't a function? Purple sheet here you come!

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 24

What is the range of the following graph?

Accepted Answer

-5, -1,  0 , 1, 5

Answer

-4, -2, 0, 3, 6

Answer

(-4, 1)  ( 6, 0)

Answer

(6, 0)

Question 25

What is the collection of input values in a function called?

Accepted Answer

Domain

Answer

Range

Answer

Output

Answer

Ordered Pair

Question 26

Is this graph a function or not a function?

Accepted Answer

Function

Answer

Not a Function

Question 27

Will the inverse of this be a function?  (Hint:  think of the HLT)

Accepted Answer

Function

Answer

Not a Function

Question 28

Will the inverse of this be a function? Hint: Use the HLT.

Accepted Answer

Not a Function

Answer

Function

Question 29

Describe the transformation that occurred
p(x) = f(x + 3)

Accepted Answer

Left three units

Answer

Right 3 units

Answer

Less Steep

Answer

Steeper

Question 30

Describe the transformation that occurred.
h(x) = f(x) + 2

Accepted Answer

up 2 units

Answer

left 2 units

Answer

steeper

Answer

Less Steep

Question 31

Describe the transformation that occurred
t(x) = f(x) - 1

Accepted Answer

Down 1 Unit

Answer

Right 1 Unit

Answer

Less Steep

Answer

Steeper

Question 32

Describe the transformation that occurred
s(x) = 7f(x)

Accepted Answer

Steeper

Answer

Less Steep

Answer

Up 7 Units

Answer

Over 7 Units

Question 33

Which equation below is a quadratic function translated up 5 units?

Accepted Answer

y = x² + 5

Answer

y = (x + 5)²

Answer

y = 5x2

Answer

y = -x² - 5

Question 34

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 35

(2x + 5y - z) + (-6x - 4y + 7z).
Combine Like Terms

Accepted Answer

-4x + y + 6z

Answer

-4x +6y + 6z

Answer

4x + y + 6z

Answer

-4x - y + 6z

Question 36

Subtract:  (3x + 4y - 3z) - (2x - 6y + 7z)

Accepted Answer

x + 10y - 10z

Answer

-x +10y - 10z

Answer

x -10y - 10z

Answer

-x -10y - 10z

Question 37

Distribute: 5(2x+5)

Accepted Answer

10x + 25

Answer

10x + 5

Answer

7x + 10

Answer

7x + 25

Question 38

Multiply/FOIL/Distribute: (x+3)(x+1)

Accepted Answer

x2+4x+3

Answer

x2+3x+3

Answer

2x+4x+3

Answer

5x + 3

Question 39

Distribute / FOIL: (2x + 1)(x - 3)

Accepted Answer

2x² - 5x - 3

Answer

-3x - 3

Answer

2x² + 5x - 3

Answer

2x² - 5x +3

Question 40

Factor:

x² - 49

Hint: you can do this by hand our using a program in your GC

Accepted Answer

(x + 7)(x - 7)

Answer

(x + 7)2

Answer

(x - 7)2

Answer

(x+7)(x-1)

Question 41

What is the constant in the polynomial?
-2xyz + 3x² - 2y² - 6z² + 32

Accepted Answer

32

Answer

-2

Answer

3

Answer

-6

Question 42

Identify the zeros/x-intercepts/factors/roots/solutions

Accepted Answer

x=-2, x=-6, x=4

Answer

x=2, x=6, x=-4

Answer

(x+2)(x+6)(x-4)

Answer

(x-2)(x-6)(x+4)

Question 43

State the number of REAL ZEROS for the function:
f(x) = 2x⁴ + 19x² + 24
Hint: graph in Desmos or on a GC

Accepted Answer

0

Answer

1

Answer

2

Answer

4

Question 44

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

List the zeros for this function.

Accepted Answer

x=-4, x=3, x=2

Answer

x=-4, x=3, x=-2

Answer

x=-4, x=-3, x=2

Answer

x=4, x=3, x=2

Question 45

Where are the asymptotes?

Accepted Answer

x=-3, y=1

Answer

x=3, y =1

Answer

x=-3, y =-1

Answer

x=3 y=-1

Question 46

Where are the asymptotes?

Accepted Answer

x=1, y=3

Answer

x=-1 y = -3

Answer

x=1 y = -3

Answer

x=-1 y =3

Question 47

Find the vertical asymptote:  f(x)=(x-2)/(x+5).

Accepted Answer

x = -5

Answer

x = -2/5

Answer

-5

Answer

x = 2

Question 48

Solve.  Hint: multiply by the LCD

Accepted Answer

x = 1/2

Answer

x = 2

Answer

x = 3/4

Answer

x = 4

Question 49

Solve for x.

Accepted Answer

6

Answer

2

Answer

18/5

Answer

26/5

Question 50

Divide (x² + 5x - 8) by (x + 3). What is the remainder?
Hint: think of synthetic division

Accepted Answer

-14

Answer

16

Answer

12

Answer

-16

Question 51

What is the value of 4³?

Accepted Answer

64

Answer

12

Answer

7

Answer

16

Question 52

Solve for x: 5^x=15,625

Accepted Answer

x=6

Answer

x=3

Answer

x=4

Answer

x=5

Question 53

Is this exponential growth or decay? Hint: Use your light green sheet

Accepted Answer

Decay

Answer

Growth

Answer

Exponential

Answer

Linear

Question 54

Pick the equation that is exponential growth

Accepted Answer

y = 0.5(2)^x

Answer

y=2(0.5)x

Answer

y=2x

Answer

y= 3x/4

Question 55

If the number of illnesses at CHS doubles every week, and there were 4 sick students to begin with, write an equation relating y (the number of new illnesses) and x (the number of weeks).

Accepted Answer

y=4(2)x

Answer

y=(2)x

Answer

y=2(4)x

Answer

y=4x

Question 56

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(1-.3)^x

Answer

y=30(5000)^x

Answer

y=5000(1+.3)^x

Answer

y=5000xx

Question 57

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

Accepted Answer

y=1400(1.09)^x

Answer

y=1.09(1400)^x

Answer

y=1400(.91)^x

Answer

y=1.09x

Question 58

If you invest $2500 into the bank and earn 4.5% interest compounded annually for 13 years, how much money will you now have?

Accepted Answer

$4,430.49

Answer

$1,462.50

Answer

$31,3129.54

Answer

$2,962.50

Question 59

Change to Exponential Form:
log₆36 = 2

Accepted Answer

62=36

Answer

26=36

Answer

362=6

Answer

366=2

Question 60

Evaluate using your GC or Desmos and the change of base formula

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 61

Evaluate:
log₄16
Use a GC or Desmos

Accepted Answer

2

Answer

4

Answer

1/2

Answer

-2

Question 62

The common logarithm has what base?

Accepted Answer

10

Answer

0

Answer

e

Answer

-e

Question 63

Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75.

Hint: Take out your yellow sheet.

Accepted Answer

Yes

Answer

No

Question 64

Is the sequence 2, 4, 12, 48,... geometric?

Accepted Answer

no

Answer

yes

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