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Worksheets

Monday Skill Review

Total questions: 75

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Which graph best represents the solution set

y>3x−4 ?y>3x-4\ ?  

a)

A

b)

B

c)

C

d)

D

2.
a)
F.
b)
G.
c)
H.
d)
J.
3.
a)
F.
b)
G.
c)
H.
d)
J.
4.
?
a)
A
b)
B
c)
C
d)
D
5.
?
a)
A
b)
B
c)
C
d)
D
6.
?
a)
F
b)
G
c)
H
d)
J
7.
?
a)
F
b)
G
c)
H
d)
J
8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.
?
a)
A
b)
B
c)
C
d)
D
13.
?
a)
F
b)
G
c)
H
d)
J
14.

What is the slope of the line represented by 5x - 12y = 24?

a)

-2

b)

24/5

c)

-12

d)

5/12

15.

What is the domain of f(x)=9-x2?

a)

f(x) ≥ 9

b)

All real numbers

c)

-3 ≤ x ≤ 3

d)

x ≤ 9

16.

What is the range?

a)

{x| x= -2, 2, 4}

b)

{x| -2 ≤ x ≤ 4}

c)

{y| -3 ≤ x ≤ 4}

d)

{y|y= -3, 0, 4}

17.

What is the range of this situation?

a)

All real numbers greater than or equal to 0 and less than or equal to 9

b)

All real numbers greater than or equal to 0 and less than or equal to 28

c)

All real numbers less than or equal to 28

d)

All real numbers less than or equal to 9

18.

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

a)

b)

c)

d)

19.
a)

x ≥ 0

b)

y ≥ 250,000

c)

0 ≤ x ≤ 110

d)

250,000 ≤ y ≤ 1,000,000

20.
a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < f(x) ≤ 3

d)

-6 ≤ f(x) < 3

21.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

22.

The graph of the function is shown. What is the slope of the function?

a)

-1/3

b)

-3

c)

1/3

d)

3

23.

What is the slope of a line passing through (9,2) and (-9, -6)?

a)

9/4

b)

-4/9

c)

4/9

d)

-9/4

24.

Which of the following linear functions will have a rate of change of 2/3?

a)

A function whose graph is a line that contains (6,10) and (10, 12)

b)

A function whose equation is 3x - 2y = 12

c)

A function whose equation is 2x - 3y = 9

d)

A function whose graph has an x-intercept of (3,0) and a y-intercept of (0,2)

25.

Look at the lines graphed. Which line appears to have a slope of 1.5?

a)

Line a

b)

Line b

c)

Line c

d)

Line d

26.

What is the rate of change of the line graphed?

a)

12

b)

-0.4

c)

-2.5

d)

5.5

27.

A linear function contains the point (4, 9) and has a slope of 4. Which of the following points will also belong to the function?

a)

(0, -7)

b)

(-1, -10)

c)

(3, 6)

d)

(1, 2)

28.

Which describes the range of the function with the graph shown?

a)

All real numbers greater than or equal to 0

b)

All real numbers greater than or equal to -6

c)

All real numbers

d)

All real numbers greater than or equal to -5

29.
a)

Negative correlation

b)

Positive correlation

c)

No correlation

d)

Absolute correlation

30.
a)

The speed of the rocket was greatest at about 6 seconds after it was fired.

b)

The rocket traveled 180 meters.

c)

The rocket reached its maximum height in about 6 seconds.

d)

The rocket returned to the ground in about 6 seconds.

31.

A function is described by the equation f(x) = 2x + 3. The domain is {2, 4, 6, 8}. What is the range?

a)

{4, 8, 12, 16}

b)

{2, 4, 6, 8}

c)

{1, 5, 9, 13}

d)

{7, 11, 15, 19}

32.

What is the slope of this line?

a)

0

b)

-3

c)

Undefined

d)

1

33.

What is the equation of the linear function graphed?

a)

x = -3

b)

x = -4

c)

y = -4

d)

y = -3

34.

What is the rate of change of y with respect to x of the line graphed?

a)

5/3

b)

-5/3

c)

3/5

d)

-3/5

35.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{-6,14, 0, 32, 2, 38, 4,44}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
36.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.
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)
38.
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.
39.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
40.

What is the domain?

a)

x = 2

b)

All real numbers

c)

y = 2

d)

None of these

41.

What value of x makes the following true?

6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

42.

What is the solution to this equation?

2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

43.

Which value of p makes the equation true?

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

44.
Write an equation that could be used to find how many packs of DVDs you can buy with 168 dollars if one pack costs 12 dollars.
a)
168x = 12
b)
12x = 168
c)
12(168) = x
d)
12 / x = 168
45.
Write an equation from the following description: Bob sells popcorn at 50 cents per bag. 
a)
y=5x
b)
y=0.5x
c)
y=1/5x
d)
y=1/0.5x
46.
Give the y-interecept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
47.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
48.

What is the equation in slope intercept form of the line that passes through (5, -1) and is parallel to y = -3/5x - 4.

a)

y = 3/5x - 4

b)

y = -3/5x + 1

c)

y = 5/3x - 28/3

d)

y = -3/5x + 2

49.

Which graph best represents g(x) = f(-x) -4

a)

b)

c)

d)

50.

The total amount of David's paycheck varies directly with the amount of time he works. If his paycheck was $280 for working 35 hours, how much will his paycheck be for working 24 hours.

a)

$8

b)

$192

c)

$144

d)

$105

51.

Which expression is equivalent to 2962\sqrt{96} ?

a)

464\sqrt{6}  

b)

6366\sqrt{36}  

c)

868\sqrt{6}  

d)

262\sqrt{6}  

52.

Which function is equivalent to f(x) = 4x2+16x+154x^2+16x+15

a)

f(x) = (x + 15) (x + 1)

b)

f(x) = (2x + 15) (2x +1)

c)

f(x) = (4x + 5) (x +3)

d)

f(x) = (2x+3) (2x+5)

53.

The value of y varies directly with x, and y = -18 when x = 6. find y when x = -8.

a)

-3

b)

24

c)

-24

d)

8

54.

What is the solution to this sytem?

y = -3x + 2

y = 2x - 3

a)

(1, -1)

b)

no solution

c)

(-1, -1)

d)

(-1, 1)

55.

Which expression is equivalent to  14c2d4 + 7cd214c^2d^{4\ }+\ 7cd^2 . 

a)

7cd2(2cd2 + 7cd)7cd^2\left(2cd^2\ +\ 7cd\right)  

b)

7cd2(2cd2 + 1)7cd^2\left(2cd^2\ +\ 1\right)  

c)

7cd (cd3 + cd)7cd\ \left(cd^3\ +\ cd\right)  

d)

7c2d2 (2cd + cd)7c^2d^2\ \left(2cd\ +\ cd\right)  

56.

What is the solution to the system

x + 2y = 6

5x + 2y = 18

a)

(1.5, 3)

b)

(-3, 1.5)

c)

No solution

d)

(3, 1.5)

57.

Which is NOT an example of a function?

a)

b)

c)

d)

58.

Which does NOT shows y as a function of x?

a)

b)

c)

d)

59.

The graph of linear function g passes through the points (3,0) and (-3, -4). Which statement must be true?

a)

x intercept is 3 and the slope is 2/3

b)

x intercept is 3 and the slope is 3/2

c)

y intercept is 3 and the slope is 3/2

d)

y intercept is 3 and the slope is 2/3

60.

What is the solution to -(5x+2) = 3(4 + x)?

a)

1.25

b)

-1.75

c)

5

d)

-4

61.

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?

a)

1/3

b)

-1/3

c)

3

d)

-3

62.

Which inequality best represents the domain of the part shown?

a)

y > 0

b)

x > 0

c)

0 < y < 4

d)

0 < x < 2

63.

f(x) = x2x^2 is transformed to create the graph g(x) = f(x+5)-2.  Which graph best represents g?

a)

b)

c)

d)

64.

What is the rate of change?

a)

-2

b)

-1

c)

1

d)

2

65.

What is the rate of change? f(x) = 200 (1.06)x\left(1.06\right)^x  

a)

106%

b)

94%

c)

60%

d)

6%

66.

The table shows sales (in million euros) that are the direct result of how much money (in million euros) is put into advertising each year. If the company invests 80 million in euros in advertising what amount of sales can they expect?

a)

1,250

b)

2,000

c)

2,041

d)

2,455

67.

Which expression is equivalent?

a)

b)

c)

d)

68.

I was told by my boss to buy pounds of hamburger meat for $6 each and packages of hotdogs for $4 each. I was told to spend at most $100. Which inequality matches my situation?

a)

6x + 4y << 100

b)

6x + 4y >> 100

c)

6x + 4y ≤\le 100

d)

6x + 4y ≥\ge 100

69.

(8 - 3x + x2) - (5 - 5x + 3x2)

a)

-2x2- 8x + 3

b)

4x2 - 2x + 3

c)

4x2 + 2x + 3

d)

-2x2 + 2x + 3

70.

Which graph best represents thesolution set for  y ≤3x + 5y\ \le3x\ +\ 5  

a)

b)

c)

d)

71.

(x2y−4)3\left(x^2y^{-4}\right)^3  
Which expression is equivalent?

a)

x2y−12x^2y^{-12}  

b)

x6y−12x^6y^{-12}  

c)

x5y−12x^5y^{-12}  

d)

x6y−1x^6y^{-1}  

72.

a)

y - 5 = 1/2 (x - 1)

b)

y + 5 = 2 (x + 1)

c)

y - 5 = 2 (x - 1)

d)

y + 3 = 1/2 (x +3)

73.

f(x) = x2 is transformed to create the graph g(x) = -f(x) + 3. Which statement below describes this transformation?

a)

reflection over the y axis and vertex shifts right 3 units

b)

reflection over the x axis and vertex shifts left 3 units

c)

reflection over the y axis and vertex shifts up 3 units

d)

reflection over the x axis and vertex shifts up 3 units

74.

Which function below models the table?

a)

f(x) = 3x + 2

b)

f(x) = 2x - 4

c)

f(x) = 1/2x - 2

d)

f(x) 4x + 3

75.

The linear function f passes through the point (-1, 4) and a slope of 4. What is the zero of f? Hint: point slope formula.

a)

-3

b)

5

c)

-2

d)

8