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MVP Math 1 Module 8 Test Review

Total questions: 50

Worksheet time: 49mins

Name
Class
Date
1.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
2.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

3.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
4.

How is the distance formula correctly written:

a)

d = (y1 y2)2 (x2 x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2 x1)2 + (y2 y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}

c)

d = (y1 y2)2 + (x2 x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}

d)

d = (x)2 (y)2\sqrt{\left(x\right)^2-\ \left(y\right)^2}

5.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2 (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

6.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

7.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
8.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
9.

How did the function y=x+7 shift from y=x?

a)

up 7

b)

down 7

c)

left 7

d)

right 7

10.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 4 units

b)

Vertical Translation Down 4 units

11.

Compare the function

 w(x)=x+13w\left(x\right)=x+13  to the parent function  f(x)=xf\left(x\right)=x  

a)

Vertical Translation Up 13 units

b)

Vertical Translation Down 13 units

12.

Compare the function (red) to the parent function (black).

a)

Vertical Translation Up 9 units

b)

Vertical Translation Down 9 units

13.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
14.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
15.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
16.
y = - 2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
17.
y = 1/3x + 2
y = 4x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
18.
Which line is perpendicular to
y = 2x - 7  ?
a)
y = -2x + 8
b)
y = 1/2x - 7 
c)
y = -1/2x + 2
d)
y = 2x - 3 
19.
Which line is parallel to
y = 2x - 7  ?
a)
y = -2x + 8
b)
y = 1/2x - 7 
c)
y = -1/2x + 2
d)
y = 2x - 3 
20.

If g(x) is a transformation of f(x), describe the transformation.

 f(x)=2xf\left(x\right)=2^x      g(x)=2x+4g\left(x\right)=2^x+4   

a)

Up 4 units

b)

Down 4 units

c)

Left 4 units

d)

Right 4 units

21.

 If g(x) is a transformation of f(x), describe the transformation.

 f(x)=0.4x1f\left(x\right)=0.4^x-1 
 g(x)=0.4x2g\left(x\right)=0.4^x-2  

 

a)

Down 1 unit

b)

Down 2 units

c)

Up 1 unit

d)

Up 2 units

22.
Using the parent function y=3x what would the graph of y=3x+1 look like?
a)
Horizontal Shift to the right 1 unit
b)
Horizontal shift to the left one unit
c)
Vertical shift one unit up
d)
Vertical shift one unit down
23.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

24.

Find the magnitude.

a)

0

b)

5

c)

-5

d)

4

25.

Find the magnitude.

a)

5

b)

3

c)

25

d)

-4

26.

Find the magnitude.

a)

-10

b)

-8

c)

6

d)

10

27.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

28.

Find the resultant vector.

a)

<5, 3>

b)

<1, 7>

c)

<7, 1>

d)

<3, 5>

29.

Find the resultant vector.

a)

<9, 15>

b)

<7, 17>

c)

<15, 9>

d)

<11, 13>

30.

Find the resultant vector.

a)

<-10, 10>

b)

<10, -10>

c)

<15, 25>

d)

<25, 15>

31.

Find the resultant vector.

a)

<-7, -1>

b)

<5, 3>

c)

<1, -9>

d)

<8, 11>

32.

Determine the magnitude of the vector <8, -2>

a)

2√3

b)

2√17

c)

2√15

d)

2√5

33.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
34.
Subtract
a)
3    -8
0   -1
b)
3   -4
8  -13
c)
-3   8
0    1
d)
3   -8
-8    1
35.
Multiply
a)
1   2
6   -8
b)
-3   -5
-5   -11
c)
-2     8
-6   -12
d)
2  -3
5   -2
36.
Multiply
a)
20     15    -10
30     -5         0
b)
-20      15     -10
30     -5          0
c)
1        8       3
11     4        5
d)
20     -15     10
-30         5        0  
37.

The equation for finding the determinate of a 2x2 matrix is :

a)

ad-bc

b)

ab-cd

c)

ac-bd

d)

da-cb

38.

Find the determinant of A

a)

18

b)

15

c)

-15

d)

-16

39.

What is the determinant of the matrix?

a)

11

b)

1

c)

-11

d)

-1

40.
Evaluate the determinant of the matrix.
a)
-21
b)
0
c)
9
d)
12
41.
What transformation does the matrix below perform?
R1 = (1,   0)
         (0, -1)
a)
Reflect in x axis
b)
Rotate 180 degrees
c)
Enlarge scale factor -1
d)
Translate -1 in Y direction
42.
What transformation does the matrix below perform?
R2 = (-1,  0)
         (0,   1)
a)
Reflection in x axis
b)
Rotate 90 degrees clockwise
c)
Reflection in y axis
d)
Rotate 90 degrees anticlockwise
43.
What transformation does the matrix below perform?
R = (0,  -1)
      (1,   0)
a)
Rotate 270 degrees anticlockwise
b)
Rotate 180 degrees anticlockwise
c)
Rotate 90 degrees clockwise
d)
Rotate 90 degrees anticlockwise
44.
What transformation does the matrix below perform?
R = (-1,  0)
      (0,  -1)
a)
Rotate 270 degrees anticlockwise
b)
Reflect in the line y=-x
c)
Rotate 180 degrees anticlockwise
d)
Translate to negative coordinates
45.
What transformation does the matrix below perform?
R = ( 0,  1)
      ( -1,  0)
a)
Rotate 270 degrees anticlockwise
b)
Reflect in y axis
c)
Rotate 270 degrees clockwise
d)
Reflect in x axis
46.
Determine whether the matrices are multiplicative inverses.
a)
Yes
b)
No
c)
Elevator
d)
Pi
47.
Determine whether the matrices are multiplicative inverses.
a)
Yes
b)
No
c)
Workout
d)
Valut-Tech
48.
Determine if the matrix has an inverse, if so find it.
a)
No
b)
 0   1
-1   2
c)
-1   3
  1   -2
d)
  2   -1
-1   1
49.
Determine if the matrix has an inverse, if so find it.
a)
No
b)
 0   1
-1   2
c)
-1   3
  1   -2
d)
  2   -1
-1   1
50.

What is A-1?

a)
b)
c)
d)