Free Printable Trig : Pre-Assessment

Worksheets

Trig : Pre-Assessment

Total questions: 60

Worksheet time: 4hrs 28mins

Name

Class

Date

Simplify:

√4√12

4√12

4√3

2√3

Simplify:

5x√2

100x√2

10x√2

10√2x

Simplify:

4√3 - √12

√6

2√3

√2

√5

Simplify:

√12

(4√3)/3

√3

(2√3)/3

(4x³)²

8x⁵

8x⁶

16x⁵

16x⁶

(x²y³)²(xy)

x⁴y⁶

x⁵y⁷

x⁴y⁵

x⁵y⁶

Evaluate the expression using the quotient rule.

3⁴

1/3⁴

3^-12

3³²

16c³d³

10.

3ab⁸c³

2ab⁸c¹¹

11.

7³

7^3/4

7^4/3

12.

m^{- 2}

m^{- 0.5}

m^1/2

m^0.5

13.

14.

What is the degree?

Positive

Negative

Odd

Even

15.

What is the leading coefficient?

Positive

Negative

Odd

Even

16.

Which function has this end behavior?

-1x⁴-3x³+3

-2x⁷+2x⁴+4

3x⁸+3x⁵-4x+7

4x⁵-4x⁴+2x³-9

17.

Which function has this end behavior?

-x²-3x+1

-x³+2x²+3

x⁴+3x³-4x+1

x⁵-4x⁴+2x²-1

18.

Find the product:
(5n-8)(5n+8)

25n²-64

10n²

5n²+16

19.

Find the product:
(2x+3)²

2x+3+2x+3

4x²+12x+9

4x²+9

16x²+9

20.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

x_² + 6x + 8

2x²+ 5x - 7

-x²-6x + 8

-2x² + 11x - 4

21.

Multiply.
(b+3)(b²+2b+1)

b³+6b²+6b+3

b³+5b²+7b+3

4b³+8b²+3b

3b³+6b²+3b

22.

Find the Difference.
(4x³-3x² + 6x - 4) - (-2x³ + x² -20)

4x² - 6x³- 2x + 6

3x + 5x²+ 1

6X³ -4X² + 6X -2

3x + 2

23.

Divide:

(4x² - 24x + 35) / (2x - 5)

2x - 7

2x - 12

2x + 12

2x + 7

24.

which binomial product would produce this as an answer?
x² - 100

(x - 10)(x +10)

(x - 2)(x + 50)

(x - 4)(x + 25)

(x - 1)(x + 100)

25.

Find the Quotient
(2x³ - 5x² - 3x + 7) / (x - 2)

2x²- 9x +15

2x² - x - 5

2x² - 9x - 21

2x² + x + 5

26.

Factor completely: 3x²-36x+96

(x-4)(x-8)

3(x-4)(x-8)

3(x+1)(x+32)

3(x-2)(x+16)

27.

What is the factored form of 5n³-10n²+3n-6

(5n²+3)(n-2)

(5n²-3)(n-2)

(5n³+3)(n-2)

10n(n²-6)

28.

What is the factored form of x³+7x²-2x-14

(x²-2)(x-7)

(x²+2)(x-7)

(x²+2)(x+7)

(x²-2)(x+7)

29.

What is the factored form of 4x²+8x+10

2x(2x²+4x+5)

2x(x²+4x+10)

2(2x²+4x+10)

2(2x²+4x+5)

30.

What is the GCF of 8c³+12c²+10c

31.

What is the factored form of 4p³+8p²+3p+6

(2p²+3)(p+2)

(2p²+6)(p+4)

(4p²+3)(p+2)

(4p²+8p)(3p+6)

32.

Find the complete factorization:

4x²- 64y²

4(x-4)(x+4)

( 2x - 32y) (2 x + 32y)

( 2x - 8y) (2 x - 8y)

( 2x - 8y) (2 x + 8y)

33.

Factor
k²+7x+10

(k+2)(k+5)

(k-2)(k-5)

(k+10)(k+4)

(k+2)(k-5)

34.

Factor: x³+ 1

(x + 1)³

(x+1)(x²- x + 1)

(x - 1) (x² + x - 1)

(x + 1)(x² - 2x + 1)

35.

Factor: 8x³ - 1

(2x - 1)(4x² + 2x + 1)

(2x + 1)(4x² - 2x + 1)

(2x - 1)(4x² - 2x - 1)

(2x + 1)(4x² +2x + 1)

36.

Factor completely.
2n² + 13n + 15

(5n - 9)(n - 3)

(3n + 7)(n + 4)

(2n + 3)(n + 5)

Not factorable

37.

Factor completely.
5x² - 13x + 6

(x - 3)(5x - 2)

(5x - 3)(x - 2)

5(x - 3)(x + 2)

Not factorable

38.

Factor
4b⁵+4b³+16b²

4b³(b⁴+b²+4b)

4b³(b⁴+4b+5)

4(b⁵+b³+4b²)

4b²(b³+b+4)

39.

Solve x² + x – 72 = 0.

x = -8

x = -8 or x = 9

x = 8 or x = -9

x = 9

40.

x²+ 12x + 32 = 0

x = -4, 8

x = 4, 8

x = -4, -8

x = 0, 12

41.

m²-10m=0

m=0 and m=-10

m=1 and m=10

m=0 and m=10

m=1 and m=-10

42.

Solve for the values of x:

(2x - 1)(x + 4) = 0

x = 1/2, -4

x = 1/2, 4

x = 2, -4

x = -2 4

43.

What is the horizontal asymptote to this function?

y=4

y=0

y=-2

y=1

44.

What is/are the vertical asymptote(s)?

x=-2

x=2 and x=3

x=-3

x=3

45.

What is the hole?

x= 4

x= -4

x= 5

x= -5

46.

Solve

x = 5

x = 4

x = -7

x = 6

47.

Solve for x

-2

-4

48.

Solve the equation for x.

49.

Classify the following graph.

Exponential Growth

Exponential Decay

Logarithmic

50.

Classify the following graph.

Exponential Growth

Exponential Decay

Logarithmic

51.

What equation matches the graph?

f(x) = 3^x

f(x) = (⅓)^x

f(x) = log₃(x)

52.

What equation matches the graph?

f(x) = 3^x

f(x) = (⅓)^x

f(x) = log₃(x)

53.

Write an equation to represent the following scenario: The population of a small town increases by 15% every year. If the population began with 730 people, how many people would there be in x year?

y=730(1.15)^x

y=1.15(730)^x

y=730(15)^x

y=730(.85)^x

54.

Expand

55.

Condense

56.

Rewrite log₂8 = 3 in exponential form

2⁸ = 3

2³ = 8

3² = 8

8³ = 2

57.

Solve for x:
log_x25 = 2

-5

1/5

-1/5

58.

log₂32=3x

5/3

3/5

59.

Solve for x:

2^{3x - 1} = 32

-1

5/3

60.

A household appliance loses its value after it is purchased. Its current value, V(t), can be modeled by the function, V(t)= V₀(3/4)^t, where V₀ is the original price, and t is the number of years. How long will it take for a refrigerator initial cost $850 to be worth $65? Round to the nearest year.

9 years

13 years

8 years

10 years

100 %

Trig : Pre-Assessment

Total questions: 60

Worksheet time: 4hrs 28mins

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