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DPM 1 Review 21-22

Total questions: 21

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
Find the rate of change
a)
5
b)
-5
c)
-1/5
d)
1/5
2.
What is the rate of change?
a)

32\frac{3}{2}  

b)

23\frac{2}{3}  

c)

15\frac{1}{5}  

d)

51\frac{5}{1}  

3.

Which graph does not show y as a function of x?

a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
4.

What is the equation in standard form of the line that passes through (6,2) and is perpendicular to the line represented by 6x - 4y = 12

a)

3x + 2y = 6

b)

3x - 2y = 19

c)

2x - 3y = 12

d)

2x + 3y = 18

5.

Which statements are true about the two lines on the graph?

I. The slope of line b is 6

II. The equation for line b is y = 6

III. Line a has an undefined slope

IV. The equation for line a is y = -7

a)

I, II and III

b)

II and III

c)

I and III

d)

I, II, III and IV

6.

What is the equation of the line passing through the points (8, 6) and (-6, -15)?

a)

y = 4.5x - 42

b)

y = 15x  6\frac{1}{5}x\ -\ 6  

c)

y = 32\frac{3}{2}  x - 6

d)

y = 92x  42\frac{9}{2}x\ -\ 42  

7.

Which equation is best represented by the graph?

a)

y = 2/3x + 3

b)

y = 3/2x - 2

c)

y = 2/3x - 2

d)

y = -3/2x - 2

8.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
9.

Which graph has an x-intercept of 4 and a y-intercept of -3?

a)
a
b)
b
c)
c
d)
d
10.

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

a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
11.

What is the domain and range of the graph?

a)

domain: -7 < x < 5

range: -3 < f(x) < 1

b)

domain: -7 < x < 5

range: -3 < f(x) < 1

c)

domain: -3 < x < 1

range: -7 < f(x) < 5

d)

domain: -3 < x < 1

range: -7 < f(x) < 5

12.

Which equation best represents the graph passing through the point (-2,-5)?

a)

y - 5 = 4(x - 2)

b)

y + 5 = 4(x - 2)

c)

y - 5 = 4(x + 2)

d)

y + 5 = 4(x + 2)

13.

What type of correlations exists between the following sets of data?

a)

weak positive

b)

weak negative

c)

strong positive

d)

strong negative

14.

If f(x) = 3(2x - 3), find f(4).

a)

1

b)

33

c)

15

d)

-7

15.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
16.

What is the equation of the line that crosses the y-axis at 5 and is parallel to y =34x  9y\ =\frac{3}{4}x\ -\ 9  ?

a)

y =34x + 5y\ =\frac{3}{4}x\ +\ 5  

b)

y =43x + 5y\ =\frac{4}{3}x\ +\ 5  

c)

y =34x + 5y\ =-\frac{3}{4}x\ +\ 5  

d)

y =43x  5y\ =-\frac{4}{3}x\ -\ 5  

17.

What is the slope and y-intercept of the graph passing through the points (3,-3) and (6,-8)?

a)

The slope is 53-\frac{5}{3}  and the y-intercept is 2.

b)

The is 53-\frac{5}{3}  and the y-intercept is 1.2.

c)

The is 35-\frac{3}{5}  and the y-intercept is 2.

d)

The is 35-\frac{3}{5}  and the y-intercept is 1.2.

18.

Based on the scatterplot, which is the best prediction for the weight of a baby that is 45 inches tall?

a)

55 lbs

b)

35 lbs

c)

40 lbs

d)

30 lbs

19.

Which equation represents the same relationship?

a)

y - 24 = 12(x - 2)

b)

y + 24 = 12(x + 2)

c)

y - 24 = - 12(x - 2)

d)

y + 24 = - 12(x + 2)

20.

Which graph has a range of all real numbers less than or equal to 3?

a)
b)
c)
d)
21.

Wat is the rate of change of y with respect to x passing through (-4, 3.5) and (1,-4)

a)

-.666

b)

1.5

c)

-1.5

d)

.6666