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Evaluating and Slope Review

Total questions: 58

Worksheet time: 3hrs 46mins

Name
Class
Date
1.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−2, −2)(1, 2)\left(-2,\ -2\right)\left(1,\ 2\right)  

a)

53\frac{5}{3}  

b)

11  

c)

43\frac{4}{3}  

d)

34\frac{3}{4}  

2.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−1, −3)(0, 0)\left(-1,\ -3\right)\left(0,\ 0\right)  

a)

33  

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

11  

3.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−1, 0)(4, −2)\left(-1,\ 0\right)\left(4,\ -2\right)  

a)

52\frac{5}{2}  

b)

−25\frac{-2}{5}  

c)

−12\frac{-1}{2}  

d)

25\frac{2}{5}  

4.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−4, −4)(4, −1)\left(-4,\ -4\right)\left(4,\ -1\right)  

a)

83\frac{8}{3}  

b)

12\frac{1}{2}  

c)

37\frac{3}{7}  

d)

38\frac{3}{8}  

5.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−1, −4)(4, 2)\left(-1,\ -4\right)\left(4,\ 2\right)  

a)

−65\frac{-6}{5}  

b)

32\frac{3}{2}  

c)

65\frac{6}{5}  

d)

11  

6.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−4, 1)(−4, 4)\left(-4,\ 1\right)\left(-4,\ 4\right)  

a)

00  

b)

33  

c)

−34\frac{-3}{4}  

d)

UndefinedUndefined  

7.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(−8, −10)(2, 10)\left(-8,\ -10\right)\left(2,\ 10\right)  

a)

2010\frac{20}{10}  

b)

00  

c)

22  

d)

12\frac{1}{2}  

8.

Using the Slope Formula

y2−y1x2−x1   (x1, y1)(x2, y2)\frac{y_2-y_1}{x_2-x_1}\ \ \ \left(x_1,\ y_1\right)\left(x_2,\ y_2\right)  
Find the slope of the line that passes through these two points:
(0, 4)(6, 13)\left(0,\ 4\right)\left(6,\ 13\right)  

a)

23\frac{2}{3}  

b)

32\frac{3}{2}  

c)

33  

d)

96\frac{9}{6}  

9.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
10.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
11.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
12.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
13.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
14.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
15.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
16.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
17.
Find the slope of the line.
a)
-2/1
b)
2/1
c)
-1/2
d)
1/2
18.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
19.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
20.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
21.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
22.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
23.

If g(x)=3x2−5g\left(x\right)=3x^2-5  , what is the value of g(−2)g\left(-2\right)  ?

a)

−11-11  

b)

−17-17  

c)

77  

d)

11  

24.

Given h(x)=−2(x+5)2h\left(x\right)=-2\left(x+5\right)^2  , what is the value of h(7)h\left(7\right)  ?

a)

−140-140  

b)

−48-48  

c)

−8-8  

d)

−288-288  

25.

If f(x)=12(x+5)−3f\left(x\right)=\frac{1}{2}\left(x+5\right)-3  , find f(−9)f\left(-9\right)  .

a)

44  

b)

−5-5  

c)

−10-10  

d)

88  

26.

Given f(x)=(10−x)2f\left(x\right)=\left(10-x\right)^2  , what is the value of f(−2)f\left(-2\right)  ?

(a)  

27.

If h(x)=2x2−5x+7h\left(x\right)=2x^2-5x+7  , find the value of h(−3)h\left(-3\right)  ?

(a)  

28.

Given f(x)=3(x+8)−9xf\left(x\right)=3\left(x+8\right)-9x  , what is f(4)f\left(4\right)  ?

(a)  

29.

#3) If f(x)=−3x−2f\left(x\right)=-3x-2  , what is the value when f(−2)+9f\left(-2\right)+9  ?

(a)  

30.

Evaluate the function below at f(−2)f\left(-2\right)
f(x) = −x2 − x − 1f\left(x\right)\ =\ -x^{2\ }-\ x\ -\ 1

31.
a)

A

b)

B

c)

C

d)

D

e)

E

32.
a)

A

b)

B

c)

C

d)

D

e)

E

33.

Find f(x)=−2f(x)=-2 ?

Only put the numerical value

(a)  

34.

Find h(x)=23h(x)=23

(a)  

Choose from the below words

−1-1

−2-2

2323

1717

35.

Evaluate for f(1)


Click on the picture to make it larger.

a)

0

b)

-3

c)

3

d)

2

36.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

37.
Evaluate the function when x = 6 
a)
f(6) = -5
b)
f(6) = 4
c)
f(6) = 2
d)
f(6) = 7
38.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

39.

Find f(1)

a)

-3

b)

6

c)

3

d)

11

40.

What is f(-1)?

a)

6

b)

-2

c)

0

d)

Error (Nonreal)

41.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

42.

What is f(0)

a)

-5

b)

0

c)

1

d)

2

43.

Given the graph of f(x), evaluate f(4).

(a)  

44.

Given the graph of g(x), find g(-2).

(a)  

45.

Find f(2).

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

46.

Using the graph, find f(-3).

a)
-3
b)
-1
c)
1
d)
3
47.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

48.

What are the decreasing intervals on the graph? (grid counts by 2's, arrow exist at the ends of the graph)

a)

(-∞, 0) & (-4, ∞)

b)

(-∞, -1) & (1, ∞)

c)

(-∞, -2) & (2, ∞)

d)

(-∞, 0) & (4, ∞)

49.

What is/are the increasing interval(s) for the function shown?

a)

(−3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(−∞,1) and (−3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

50.

What is the decreasing interval(s) on the function shown?

a)

(−7, −6) and (−2, 4)\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)

b)

(−7, 0) and (−2, 4)\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)

c)

(−7, −6) and (−2, 0)\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)

d)

(−7, 0) and (4, 5)\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)

51.

What is basic pizza dough made with?

a)

It is made with water and eggs

b)

It is made with water, flour, salt and yeast

c)

It is made with milk and flour

52.
What was the name of the first modern pizza?
a)
Spinachi
b)
Margherita
c)
Texas
53.
f(x) = 2x2 + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].
a)
2
b)
1/2
c)
-2
d)
-1/2
54.

Find the average rate of change of f(x)=2x2+3x-1 from 1 to 2.

a)

18

b)

-9

c)

9

d)

3

55.
What is the average rate of change of y = 2(3)x at [2, 4]?
a)
72
b)
3
c)
36.8
d)
630
56.

f(x)=15x+13f\left(x\right)=15x+13  Which is the average rate of change over the interval [0,10]?

a)

15

b)

5

c)

0

d)

13

57.
What was the name of the first modern pizza?
a)
Spinachi
b)
Margherita
c)
Texas
58.

What food is this?

a)

Pizza

b)

Chicken Nuggets

c)

Sandwich

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