Free Printable SUBW050525

1.

Derrick H. (2nd per.) says:

Enter an expression equivalent to:

(4x² + 5y² - 3x) + (x² + 2y² - 3x) - (x² + 3y² + x)

a)

4x² + 10y² - 7x

b)

6x² + 4y² - 6x

c)

4x² + 4y² - 7x

2.

Cody M. (1st period) says:

Select the expression that is equivalent to (m² - 25).

a)

m² - 10m + 25

b)

m² + 10m + 25

c)

(m - 5)(m + 5)

d)

(m - 5)²

3.

Candice O. (1st per.) asks: Which of the following expressions can be used to find the length of side AC?

a)

35 sin (angle A)

b)

21 tan (angle A)

c)

35 cos (angle B)

d)

21 tan (angle B)

4.

Juelz M. (5th period) asks: Which expression is equivalent to m² - 49?

a)

m² - 7m + 7m

b)

m² + 7m

c)

(m - 7)(m + 7)

d)

(m - 7)²

5.

a)

$b^2$

b)

$b^3$

c)

$b^5$

d)

$b^7$

6.

Consider this right triangle. Determine whether each expression can be used to find the length of side RS. Select Yes or No for each expression.

a)

35 * sin(R)

b)

21 * tan(T)

c)

35 * cos(R)

d)

21 * tan(R)

7.

Anything raised to the power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

8.

Which test-taking strategy would be the most helpful to avoid mistakes on this question?

a)

Answer the question before reading the answer choices provided.

b)

Eliminate the obviously wrong choices.

c)

Read the question through very carefully.

d)

Plug in the answer choices to decide which is the correct solution.

9.

Sine =

a)

sinθ = opposite / adjacent

b)

sinθ = adjacent / hypotenuse

c)

sinθ = opposite / hypotenuse

10.

Cosine

a)

cosθ = adjacent / hypotenuse

b)

cosθ = opposite / hypotenuse

c)

cosθ = hypotenuse / adjacent

11.

Tangent

a)

tanθ = adjacent / opposite

b)

tanθ = opposite / adjacent

c)

tanθ = hypotenuse / opposite

12.

Pythagorean Theorem (Right Angle)

a)

a² + b² = c⁴
(3,4,5)
(6, 8, 10)
(5, 12, 13)

b)

a² + b² = c²
(3,4,5)
(6, 8, 10)
(5, 12, 13)

13.

Cosecant

a)

cscθ = opposite / hypotenuse

b)

cscθ = hypotenuse / adjacent

c)

cscθ = hypotenuse / opposite

14.

Secant

a)

secθ = adjacent / hypotenuse

b)

secθ = opposite / adjacency

c)

secθ = hypotenuse / adjacent

15.

Cotangent

a)

cotθ = opposite / adjacent

b)

cotθ = opposite / hypotenuse

c)

cotθ = adjacent / opposite

16.

Irrational numbers are:

a)

all numbers

b)

numbers that don't terminate or repeat

c)

numbers that terminate or repeat

d)

all the numbers on the number line

17.

Real numbers are:

a)

only rational numbers

b)

all numbers

c)

only irrational numbers

d)

whole numbers only

18.

What type of expression is indicated by the symbol √?

a)

Polynomial Expression

b)

Rational Expression

c)

Radical Expression

d)

Linear Expression

19.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

20.

Is this a 30-60-90 triangle?

a)

Yes

b)

No

c)

No clue

21.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the HYPOTENUSE?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

22.

If you are given the SHORT LEG of a 30-60-90 triangle, how do you find the LONG LEG?

a)

Multiply by 2

b)

Divide by 2

c)

Multiply by √3

d)

Divide by √3

23.

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

a)

4

b)

u

c)

v

24.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

25.

Find x.

a)

22

b)

$11\sqrt{3}$

c)

$11\sqrt{2}$

d)

11

26.

Find a.

a)

12

b)

24

c)

$24\sqrt{3}$

d)

16

27.

Find a.

a)

9

b)

$9\sqrt{3}$

c)

$\frac{9}{2}$

d)

$6\sqrt{3}$

28.

Find x.

a)

9

b)

$3\sqrt{3}$

c)

6

d)

$6\sqrt{3}$

29.

Find y.

a)

10

b)

3

c)

6

d)

5

30.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

31.

What is the length of y in this 45-45-90 triangle?

a)

8√2

b)

4√2

c)

4

d)

8

32.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

33.

What is the value of x?

a)

2

b)

18

c)

2√9

d)

9√2

34.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

35.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

36.

What is 2√45 expressed is simplest radical form?

a)

3√5

b)

5√5

c)

6√5

d)

18√5

37.

Simplify:

a)

2

b)

4√3

c)

2√3

d)

4

38.

Simplify:

a)

√5

b)

(√14)/2

c)

√7

d)

Cannot be simplified

39.

a)

A

b)

B

c)

C

d)

D

40.

a)

A

b)

B

c)

C

d)

D

41.

a)

A

b)

B

c)

C

d)

D

42.

Rationalize the denominator.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

b)

c)

d)

45.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

46.

Find X

a)

35

b)

20

c)

8

d)

12

47.

cot 4π/3

a)

√3/3

b)

√3/2

c)

-√3/2

d)

-1/2

48.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

49.

What radian measure corresponds to the point

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

50.

a)

√3/3

b)

√3

c)

1

d)

undefined

51.

a)

-1

b)

0

c)

undefined

d)

√3

52.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

53.

tan 0

a)

undefined

b)

1

c)

0

d)

-1

54.

What is half a circle in radians?

a)

π/4

b)

π

c)

2π

d)

π/2

55.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

56.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

57.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

58.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

59.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

60.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

61.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

62.

Evaluate the expression. $\sec\ 90\degree$

a)

$0$

b)

undefined

c)

$1$

d)

$-1$

63.

Evaluate the expression. $\cot\ \pi$

a)

$1$

b)

$0$

c)

$-1$

d)

undefined

64.

Which of the following angles are co-terminal to $\frac{7\pi}{4}$ ?

a)

$-\frac{7\pi}{4}$ , $\frac{14\pi}{5}$

b)

$-\frac{5\pi}{4}$ , $\frac{19\pi}{4}$

c)

$\frac{11\pi}{4}$ , $\frac{-3\pi}{4}$

d)

$\frac{-1\pi}{4}$ , $\frac{15\pi}{4}$

SUBW050525

Total questions: 64

Worksheet time: 1hrs 22mins

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