Free Printable Math 4 Review

1.

What is the simplified form of (-9 + 5i) + (3 -2i)

a)

-12 + 31i

b)

-6 + 3i

c)

-11 + 7i

d)

5 - 3i

2.

What is the simplifies form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

3.

What is the simplified form of (-6i)(3i)

a)

-18

b)

-18i

c)

18

d)

-18i²

4.

What is the simplified form of (-3 + 2i)(1- 4i)

a)

-2 - 2i

b)

5 + 14i

c)

-11 -10i

d)

-3 -8i

5.

What is the simplified form of (8 -3i)²?

a)

73

b)

16 - 6i

c)

55 + 48i

d)

55 - 48i

6.

3i(4 - i)

a)

9i

b)

-3 +12i

c)

12 - 3i

d)

3 + 12i

7.

a)

A

b)

B

c)

C

d)

D

8.

Simplify the expression:
$\left(1\ +\ 5i\right)\ +\ \left(1\ -\ 5i\right)$

a)

$2\ +\ 10i$

b)

$2\ +\ 10i^2$

c)

$2$

d)

$-8$

9.

Simplify the expression:
$\left(8\ +\ 9i\right)\ +\ \left(4\ -\ 6i\right)$

a)

$17\ +\ 3i$

b)

$12\ +\ 3i^2$

c)

$17\ -2i$

d)

$12\ +\ 3i$

10.

Simplify the expression:
$\left(5\ +\ 14i\right)\ -\ \left(10\ +\ 2i\right)$

a)

$5\ -16i$

b)

$-5\ +\ 16i$

c)

$5\ -\ 12i$

d)

$-5\ +\ 12i$

11.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

12.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

13.

Find A+B

a)

8 10
8 1

b)

12 25
7 1

c)

10 30
0 1

d)

can't add two together because the rows dont match columns

14.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

15.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

16.

What do m, n, p and q equal in this scalar matrix multiplication?

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

17.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

18.

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

19.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

20.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

21.

Given an initial point A ( 2, 4 ) and terminal point B ( -8, 7 ), find the component form of the vector AB.

a)

〈-10,3〉

b)

〈-6,3〉

c)

〈10,11〉

d)

〈-6,-3〉

22.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

23.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

24.

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

a)

6x⁴+12x³-4x²-8x

b)

-6x³+12x²+2x-4

c)

6x³+12x²-2x-4

d)

5x²-18x+20

25.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

26.

If f(x) = x-1 and g(x) = 2x,

what is and g(f(x)) ?

a)

2x²-1

b)

2x-1

c)

2x-2

d)

x-2

27.

a)

9 - √17

b)

4

c)

2

d)

√8

28.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

29.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

30.

(f + g) (x)

a)

5x² + 3x

b)

4x² + 3x

c)

5x² - 3x

d)

4x² - 40x

31.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

32.

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

a)

y = 61.93x - 1.79

b)

y = -1.79x + 61.93

c)

y = 0.016x + 0.03

d)

y = 0.03x + 0.016

33.

Write the linear regression equation for the following data points. Round to the nearest hundredth.

a)

$y=-0.83x+0.61$

b)

$y=-0.83x+0.63$

c)

$y=0.83x+-0.8$

d)

$a^2+b^2=c^2$

34.

If Joe worked 30 hours, how much is he expected to earn?

a)

$600

b)

$200

c)

$1000

d)

$800

35.

Make a prediction for a resting heart rate after 6 hours of exercise a week.

a)

6

b)

50

c)

55

d)

59

36.

Based on the table, which function can best be used to model this situation?

a)

h(t) = 99t² + 858

b)

h(t) = -4.9t² + 295t + 0.6

c)

h(t) = -4.9t² + 295t + 2

d)

h(t) = 99t² + 1,470.3

37.

What is the y-intercept of the following quadratic function based on the following data?

a)

(-7, 0)

b)

(-3, 0)

c)

(0, -7)

d)

(0, -3)

38.

Which of the following quadratic equations best represents the following data?

a)

y = 4x² + 1

b)

y = 3x² + 8x - 3

c)

y = 4x²

d)

y = 3x² + 3x - 1

39.

Determine the curve of best fit.

a)

y = -2.7x + 7.4

b)

y = 0.95x²- 2.08x - 0.75

c)

y = -.05x - 3.26

d)

y = 0.95x²+ 2.08x + 0.75

40.

Is this exponential growth or decay?

a)

Growth

b)

Decay

41.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

42.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

43.

Pick the equation that is exponential growth

a)

y=2(0.5)^x

b)

y = 0.5(2)^x

44.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

45.

What is the y -intercept of y=3(4)^x?

a)

1

b)

0

c)

4

d)

3

46.

Logarithmic functions have...

a)

Vertical asymptote at x=0

b)

Vertical asymptote at x=1

c)

Horizontal asymptote at y=1

d)

Horizontal asymptote at y=0

47.

log_a x

This function always passes thru coordinate:

a)

(0, 1)

b)

(1, 0)

c)

(0, a)

d)

(a, 0)

48.

Find the corresponding graph of
$\log_2\left(-x+1\right)$

a)

b)

c)

d)

49.

Expand each Log

a)

A

b)

B

c)

C

d)

D

50.

Expand each Log

a)

A

b)

B

c)

C

d)

D

51.

Expand each Log

a)

A

b)

B

c)

C

d)

D

52.

Expand each Log

a)

A

b)

B

c)

C

d)

D

53.

Condense each Log

a)

A

b)

B

c)

C

d)

D

54.

Condense each Log

a)

A

b)

B

c)

C

d)

D

55.

Condense each Log

a)

A

b)

B

c)

C

d)

D

56.

$\log_3\left(x\right)=4$

Solve for x. Enter only numbers in your answer.

(a)

57.

$\log_5\left(x-7\right)=2$
Solve for x. Enter only numbers in your answer.

(a)

58.

$\log_4\left(3x+2\right)=3$
Solve for x.

a)

20.67

b)

26.33

c)

11

d)

27.67

59.

$\log_6\left(x+5\right)+\log_6\left(4\right)=2$
Solve for x. Enter only numbers in your answer.

(a)

60.

3^{2x – 6} = 81

a)

x = log 4

b)

x = 5

c)

x = 4

d)

x = -1

Math 4 Review

Total questions: 60

Worksheet time: 4hrs 28mins

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