Free Printable Precal Math Review 11th

1.

When is f(x) = (x+4)(x-2)(x-7) greater > 0?

a)

(-4,2), (7,infinity)

b)

(-2,4), (8,infinity)

c)

(-4,2), [7,infinity)

2.

If the binomial (2x-1) is a factor of the polynomial function f(x), then which statement is true?

a)

f(2) = 0

b)

f(-1/2) =0

c)

f(1/2) =0

d)

f(0) = 1/2

3.

f(x) = g(x)

can be interpreted as

a)

point of intersection

b)

solution of f(x)

c)

Solution of g(x)

d)

value at which f(x) exceeds g(x)

4.

Find the length of line segment AB (Refer to the diagram). A diamond-shaped figure with diagonals AO = 15 and OB = 8, intersecting at O)

a)

9

b)

8

c)

17

d)

16

5.

Find the equation of a quadratic f(x) = 2(x+3)²-7 after being shifted 2 units up and 5 units right.

a)

f(x) = $2(x-2)^2 - 5$

b)

f(x) = $2(x+2)^2 + 5$

c)

f(x) = $2(x+8)^2 - 5$

d)

f(x) = $2(x+5)^2$ - 2

6.

Three friends want to meet at a location that is the same distance from each other's house. Danny makes a grid to model each person's locations. 1 unit on the grid equals 3 miles. • Danny (5, 1) • Ethan (-2, 0) • Frank (4, 8) What is the approximate distance each person must travel?

(a)

7.

In circle Z, arc WK = 116°. What is the m∠JZL?

a)

32°

b)

58°

c)

64°

d)

116°

8.

The function f(x) = log(x) + 3, where x > 0, is moved 1 unit right and 4 units down, resulting in the function g(x). Which equation represents g(x)?

a)

g(x) = log(x + 1) - 4, where x > -1

b)

g(x) = log(x - 1) - 4, where x > 1

c)

g(x) = log(x + 1) - 1, where x > -1

d)

g(x) = log(x - 1) - 1, where x > 1

9.

Which equation best matches the graph.

a)

y < $x^2 + k$ ,

y < $x + k$

b)

y < $x^2 + k$ ,

y < $x + k$

c)

y > $x^2 + k$ ,

y < $x + k$

10.

What is the length of a radius of the circle represented by the equation $x^2 + y^2 - 4x - 4y + 4 = 0$ ?

a)

2

b)

4

c)

8

d)

16

11.

What is the distance between the zeros $f(x) = 2x^2 – 8x – 24$ ?

a)

8

b)

4

c)

12

d)

16

12.

Triangle MOP has incenter C. Angle MOP is 54 degrees. Angle COP is (2x - 7). What is the value of x?

a)

78.5

b)

28.5

c)

20.5

d)

17

13.

Sum of the zeros of the polynomial x² + 7x + 10 are

a)

-10

b)

-7

c)

10

d)

7

14.

If the binomial (5x-2) is a factor of the polynomial function f(x), which statement

a)

f(-2/5) = 0

b)

f(5/3) = 0

c)

f(2/5) = 0

d)

f(5/2) = 0

15.

If the binomial (x+7) is a factor of the polynomial function f(x), which statement

a)

f(-7) = 0

b)

f(7) = 0

c)

f(0) = 7

d)

f(7) = -7

16.

The equation of the volume of a rectangular prism, in cubic units, is shown below. $V(x) = x^3 + 2x^2 - 5x - 6$ The height of the prism is $x+1$ units. Which expression, in units, could represent the length of this prism?

a)

x-2, V(2) = 0

b)

x+2, V(-2) = 4

c)

x-6, V(0) = 6

d)

x-3, V(-3) = 0

17.

If the binomial (x-7) is a factor of the polynomial function f(x), which statement

a)

f(-7) = 0

b)

f(7) = 0

18.

In parallelogram MNPT, m∠M = (6x+10)° and m∠N = (4x+30)°. How many degrees is m∠T?

a)

10

b)

12

c)

14

d)

86

19.

In circle O, the radius is 4, and the length of minor arc AB is 4.2 feet. Find the central angle measure of angle AOB to the nearest whole degree.

a)

113

b)

90

c)

55

d)

60

20.

Find the value of x.

a)

1

b)

2

c)

3

d)

6

21.

If the binomial (2x+1) is a factor of the polynomial function f(x), which statement

a)

f(1/2) = 0

b)

f(2) = 0

c)

f(0) = 1/2

d)

f(-1/2) = 0

22.

A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line. The dimensions of the rectangle are stated in inches. What is the volume of the solid formed by this rotation, in cubic inches?

a)

36π cubic inches

b)

75π cubic inches

c)

45π cubic inches

d)

288π cubic inches

23.

The function f(x) = log(x – 2) + 1 is moved to the right 4 units and down 1 unit, resulting in the function g(x). Which function represents g(x)?

a)

g(x) = log(x – 4) + 2

b)

g(x) = log(x – 6)

c)

g(x) = log(x – 4)

d)

g(x) = log(x – 6) – 1

24.

The function f(x) = log(x – 2) + 1 is moved to the right 2 units and up 2 unit, resulting in the function g(x). Which function represents g(x)?

a)

g(x) = log(x – 4) + 3

b)

g(x) = log(x – 4)

c)

g(x) = log(x – 6) – 1

d)

g(x) = log(x – 6)

25.

Find the area of each sector.

a)

10.5 in²

b)

52.4 in²

26.

What is the volume of the 3-D solid formed in the rectangle shown is rotated about the x-axis?

a)

34π cubic units

b)

104π cubic units

c)

32π cubic units

d)

30π cubic units

27.

Triangle ABC has incenter R. Angle ABC is 68 degrees. Angle RBC is (2x + 3). What is the value of x?

a)

136

b)

34

c)

15.5

d)

4.5

28.

Factor: 8x³ - 1

4 lines

29.

Which of the following is the expanded form of $(2x+1)(x^2 - x + 1)$ ?

a)

$(2x+1)(4x^2 - x + 1)$

b)

$(2x-1)(4x^2 + 2x + 1)$

c)

$(x + 1)^3$

d)

$(2x + 1)(x^2 - 2x + 1)$

30.

Circle F is shown below. Given arc BD and arc AE find the value of x.

a)

8

b)

12

c)

27

d)

33

31.

In rectangle FGHI, diagonals FH and GI intersect at E. IE = 7x - 14 EG = 5x - 6 Find the value of x.

4 lines

32.

Refer to the diagram of the rectangle FGIH with diagonals intersecting at E. Line segment IE is 5. What is the length of FH?

a)

5 units

b)

10 units

c)

28 units

d)

38 units

33.

What value of K makes $(x+1)$ a factor of $x^3 + kx^2 + 23x + 15$ ?

a)

9

b)

8

c)

-4

d)

13

34.

Find the value of k, if x – 1 is a factor of $4x^3 + 3x^2 - 4x + k$ .

a)

-3

b)

8

c)

3

35.

34. Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it take them if they worked together?

a)

2 hours and 40 minutes

b)

2 hours and 45 minutes

c)

2 hours and 50 minutes

d)

3 hours

36.

The function h(x) = $x^3 – 2x^2 – 5x + 6$ has a factor of (x – 3). What is the sum of the zeros?

a)

-2

b)

1

c)

-1

d)

2

37.

Which equation has a center of (2, -6) and passes thru (5, -7)?

a)

$(x-2)^2 + (y-6)^2 = 10$

b)

$(x-2)^2 + (y+6)^2 = 25$

c)

$(x+2)^2 + (y-6)^2 = 10$

38.

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet (arc length). Find to the nearest degree, the central angle measure of minor arc RN.

a)

47

b)

74

39.

Given OC = 4 and OE = 6. What is the length of arc CD, if arc EF is 14?

a)

6

b)

10.3

c)

6.5

d)

9.3

40.

Find the equations of a circle with a diameter with ends of (2, -2) and (10, -2)?

a)

f(x) = $(x-6)^2 + (y+2)^2=16$

b)

f(x) = $(x-6)^2 + (y+2)^2=4$

c)

f(x) = $(x-2)^2 + (y-6)^2=16$

41.

Find the equations of a circle with a diameter with ends of (-7, 2) and (-7, 8)?

a)

f(x) = $(x+7)^2 + (y+3)^2=25$

b)

f(x) = $(x-5)^2 + (y+5)^2=4$

c)

f(x) = $(x+7)^2 + (y+3)^2=10$

42.

Find the measure of minor arc AV.

a)

55

b)

95

c)

85

d)

115

43.

Which linear function is tangent to $(x-1)^2 + (y-2)^2 = 80$ at (5,10)?

a)

y = -.5x + 25/2

b)

y = -.5x + 25

c)

y = -2x + 25/2

44.

Which equation best matches the graph.

a)

$y = x^2$

b)

y = 2x + 1

c)

$y = -x^2$

d)

y = -2x + 1

45.

Look at the graph shown. Which of the following equations best represents the graph?

a)

ax^4 - Bx^3 + Cx^2 + Dx - 6

b)

Ax^4 + Bx^3 - Cx^2 + Dx

c)

Ax^4 + Bx^3 + Cx^2 + Dx + 8

d)

Ax^4 + Bx^3 + Cx^2 + Dx + 1

46.

Find the volume of a cylinder can with a circumference of 1.2 cm and a height of 4 cm.

a)

0.46

b)

0.11

c)

235

d)

111

47.

Circumference 14, what is the area? (Round your answer to the nearest whole number.)

a)

16

b)

10

c)

20

d)

12

48.

When is $f(x) = -x^2 +$ greater than 0?

a)

(-4,2), (7,infinity)

b)

(-2,4), (8,infinity)

49.

Which of these MOST accurately describes the translation of the graph of $y = (x-4)^2 + 1$ to the graph of $y = x^2 + 6$ ?

a)

4 units to the left and up 5 units

b)

4 units to the right and down 5 units

c)

4 units to the left and down 5 units

d)

4 units to the right and up 5 units

50.

The function f(x) = $2(2^x)$ was replaced with f(x) + k, resulting in the graph below. What is the value of k?

(a)

51.

Point I represents the incenter of triangle ABC in the diagram below. Find the value of x.

(a)

52.

If the binomial (5x+2) is a factor of the polynomial function f(x), which statement

a)

f(1/5) = 0

b)

f(-2/5) = 0

c)

f(-5/2) = 0

d)

f(-1/5) = 0

53.

If G is the centroid of triangle ABC and AG = 16. Find the length of GD.

a)

28

b)

16

c)

24

d)

8

54.

What is the value of the smaller zero of the function f(x) = ?

a)

20

b)

33

c)

37

d)

123

Precal Math Review 11th

Total questions: 54

Worksheet time: 32mins

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