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Quarter 4 Grade Fix assignment Part 3

Total questions: 35

Worksheet time: 2hrs 44mins

Name
Class
Date
1.
Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
2.
Several years ago, Conner bought an antique clock.  Since then, it has increased in value. How much was the clock worth when Conner first bought it?
a)
$300
b)
$100
c)
$400
d)
$350
3.

What is the y intercept and what does the y-intercept mean in this graph?

a)

b - 18, Water in tank drained at 18 gallons per minute

b)

b = 2, Water in tank drained at 8 gallons per minute

c)

b = 18, Water in tank started at 18 gallons

d)

b = 9, Water in tank ended at 9 gallons

4.

What does the slope of the graph of this situation represent?

a)

The increase in the file size of the video per minute of playing time

b)

The file size of each video

c)

The playing time of each video

d)

The increase in the playing time per MB of video

5.

Which statement best describes the rate of change of the water level?

a)

The initial water level was 12 in.

b)

The water level increased 2 in per hour

c)

The water level was measured for 7 hours.

d)

The water level decreased 2 in per hour

6.

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS

4x + 9y = 28

-4x - y= - 28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

7.

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS. Hint: multiply the bottom one by "-1"

4x + 4y = 4


3x + 4y = 10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

8.

Solve by elimination: Remember you are looking for Matching Opposites/You are always adding! PAY ATTENTION TO YOUR SIGNS. Hint: multiply the bottom one by "2"


-12x - 10y = 0

6x + 5y = -1

a)

infinite solutions

b)

(0,0)

c)

no solution

d)

(2,1)

9.

Select the ALL the systems that have the same solution as the following system below.


-6x + 5y=1

6x + 4y=-10

a)

-12x + 10y = 2

6x + 4y = -10

b)

-30x -30y = 30

40x + 5y = 10

c)

6x + 6y = -1

6x + 4y = 10

d)

-6x + 5y = 1

18x + 12y = -30

10.

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

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

11.

Which system of inequalities is shown?

a)

y ≥ -x - 1

y ≤ x + 4

b)

y < -x - 1

y ≥ x + 4

c)

y > -x - 1

y ≥ x + 4

d)

y > x - 1

y ≥ x + 3

12.

What are the transformations?

y = (x-2)2 + 4 (Choose ALL that apply.)

a)

Horizontal shift right 2

b)

Horizontal shift left 2

c)

Vertical shift up 4

d)

Vertical shift down 4

13.
Describe the transformation of y = (x - 4)2
a)
Shift UP
b)
Shift DOWN
c)
Shift LEFT
d)
Shift RIGHT
14.

In the equation f(x)= 1/2(x - 9)2 + 1, what happens to the parabola? (Choose ALL that apply.)

a)

right 9

b)

compress by 2

c)

Compress by 1/2

d)

left 9

e)

Up 1

15.

How many solutions does this system of equations have? What are the solutions ("x" values)? Select ALL

a)

one solution

b)

two solutions

c)

x = - 3

d)

x = 4

e)

x = 1

16.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

it has a minimum

b)

it has a maximum

c)

the x - intercepts are (1, 0) and (3, 0)

d)

The y - intercept is (0, 0)

e)

The axis of symmetry is x = 2

17.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

It has a maximum height of 4

b)

It has a minimum height of 4

c)

The Vertex is (-1, 4)

d)

The x - intercepts are (0, 1) & (0, -3)

e)

The y - intercept is (0, 3)

18.

What is another name for the x-intercepts of a quadratic? Select all that apply.

a)

y-intercept

b)

Zeros

c)

x-axis

d)

Solutions

19.

Use the graph to determine the solutions.

a)

x = -1 and x = -3

b)

x = 1 and x = -3

c)

x = 1 and x = 3

d)

x = -1 and x = 3

20.

Which of the following equations best represents the graph? HINT: Take the opposite of what's inside the () for the Zeros/Solutions to match the graph. 

a)

y = (x -1)(x - 3)

b)

y = (x + 1)(x + 3)

c)

y = -3

21.

What is the domain of the function?

Hint: DOMIAIN is your x's VAULES

a)

0 < h < 80

b)

0 ≤ h ≤ 80

c)

0 ≤ t ≤ 4.5

d)

0 < t < 4.5

22.

Factor

x2 + 12x + 35

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

Prime

23.

What are the Zeros?

x2 + 11x + 24

a)

x = -8 & x = -3

b)

x = 8 & x = 3

c)

(x + 8)(x + 3)

d)

(x - 8)(x + 3)

24.

Use the quadratic formula to determine the solutions.

2x2 + 2x - 12?

a)

x = -2 & x = 3

b)

x = 2 & x = 3

c)

x = 2 & x = -3

d)

x = -2 & x = -3

25.

Use the quadratic formula to determine the solutions.

2x2 - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

26.

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

a)

aX2 + bX + c

b)

b - 4ac

c)

b2 - 4ac

d)

b2 + 4ac

27.

Use the discriminant to determine the number of solutions the following quadratic equation has.

-2x2 − x − 1 = 0

a)

76 Two Solutions

b)

-7 No Solutions

c)

9 Two Solutions

d)

0 One Solution

28.

How many solutions will this quadratic equation x2+8x+16 has?

a)

2 real solutions

b)

2 imaginary solution

c)

1 solution

d)

3 solutions

29.

Select all the Statements that are TRUE. 

  y = −3(x + 2)2 + 5y\ =\ -3\left(x\ +\ 2\right)^2\ +\ 5  

a)

The Vertext is (-2, 5)

b)

There is a Minimum Value of 5

c)

There is a Maximum Value of 5

d)

The A.O.S is x = -2

30.

Select all the statements that are TRUE. 

y = (x − 6)2 − 10y\ =\ \left(x\ -\ 6\right)^2\ -\ 10  

a)

The Vertext is (-6, -10)

b)

There is a Minimum Value of -10

c)

The A.O.S is x = 6

d)

The Vertex is (6, -10)

e)

There is a Maximum Value of -10 

31.

If the blue graph is

f(x) = x2

then the red must be...

a)

g(x) = x2 - 5

b)

g(x) = x2 + 5

c)

g(x) = (x - 5)2

d)

g(x) = (x + 5)2

32.
How did we transform from the parent function?
y = -1/2(x - 1)2 + 3
a)
reflection, vertical compression, horizontal right, vertical up
b)
vertical compression, horizontal shift left, vertical shift up
c)
reflection, horizontal shift right, vertical shift down
d)
no changes were made to y = x2
33.

What transformations occur to f(x)=5x to f(x) = 5(x - 3) + 2?

a)

translate right 3, up 2

b)

translate left 3, up 2

c)

translate left 3, down 2

d)

translate right 3, down 2

34.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
35.
The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)x, where x is the number of days since the decay started. By what percentage is the colony decaying?
a)
87%
b)
13%
c)
800%
d)
8.7%

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