Answers LAUSD-Pre-Calculus B PrescriptiveCumulative Exam

Cumulative Exam Answers

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An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

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What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

2 units

4 units

8 units

16 units

Consider the system of linear equations and the matrix equations below. What is the value of x in the equation?

-36

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

110

130

180

Which measure is of an angle that is coterminal with a 425° angle?

425° – (1,000n)°, for any integer n

425° – (840n)°, for any integer n

425° + (960n)°, for any integer n

425° + (1,440n)°, for any integer n

Find the exact value of .a.c.b.d.

Which is the graph of the rose curve ?a.c.b.d.

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

3:00 a.m.

5:00 a.m.

3:00 p.m.

5:00 p.m.

For which value of is csc () undefined?

StartFraction pi Over 2 EndFraction

StartFraction 3 pi Over 2 EndFraction

StartFraction 7 pi Over 2 EndFraction

Which of the following matrices does not have an inverse?

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Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

5 units up

5 units down

5 units right

5 units left

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.Trigonometric area formula: Area =

16 square centimeters

30 square centimeters

56 square centimeters

60 square centimeters

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

1760 Hz

3520 Hz

Which is the equation for the graph of the limacon curve below? [-5,5] by [-5,5]a.r = 3 - 2 sinc.r = 2 - 2 sinb.r = 2 - 3 sind.r = 4 - sin

What is the value of ?a.2c.b.d.

Choose the equation of the the ellipse shown in the graph.a.c.b.d.

What are all the exact solutions of for ? Give your answer in radians.

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and

, and

Using Cramer’s Rule, what is the value of y in the solution to the system of linear equations below?

-3

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Which is the graph of ? a. c. b. d. Please select the best answer from the choices provided

Law of cosines: a2 = b2 + c2 – 2bccos(A)

A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Solution Components Solution ASolution BSolution CVinegar0.10.20.4Lemon Juice0.150.20.1Water0.750.60.5Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?

0 mL

10 mL

30 mL

50 mL

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.Trigonometric area formula: Area =

95 yards

107 yards

160 yards

190 yards

Identify the graph of for and write an equation of the translated or rotated graph in general form. a. parabola; c. parabola; b. ellipse; d. ellipse; Please select the best answer from the choices provided

Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

An inverse function is the best model because as x increases, y decreases.

An inverse function is the best model because the products of corresponding x- and y-values are equal.

An inverse variation function is not the best model because data points approximate a straight line.

An inverse variation function is not the best model because the data points show an exponential decay.

Express the complex number 8(cos30 + i sin30) in standard a + bi form. a. c. b. d. Please select the best answer from the choices provided

In the diagram below, = . What is the value of m?

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

StartFraction StartRoot 3 EndRoot Over 2 EndFraction

StartRoot 3 EndRoot

2 StartRoot 3 EndRoot

Let f(x) = x + 3 and . The graph of is shown below. What is the range of ?

all real numbers except y = –3

all real numbers except y = 0

all real numbers except y = 3

all real numbers

Write parametric equations of the line .a.c.b.d.

What basic trigonometric identity would you use to verify that ?a.sin x = cos x tan xc.b.d.

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

g = 18 – 2h; 18 gallons

g = 18 – 2h; 16 gallons

g = 3h + 3; 30 gallons

g = 3h + 3; 12 gallons

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up

reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis

vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

How is the graph of transformed to produce the graph of ?

It is stretched horizontally by a factor of 2 and translated up 3 units.

It is compressed horizontally by a factor of 2 and translated up 3 units.

It is stretched vertically by a factor of 2 and translated up 3 units.

It is compressed vertically by a factor of 2 and translated up 3 units.

Law of cosines: a2 = b2 + c2 – 2bccos(A)

43°

49°

53°

58°

Convert the rectangular equation to polar form.a.c.b.d.

Find if . a. c. b. d. Please select the best answer from the choices provided

Matrices C and D are shown below. What values of a and b will make the equation CD = I true?

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Let f(x) = x + 3 and . The graph of is shown below. What is the range of ?

all real numbers except y = –3

all real numbers except y = 0

all real numbers except y = 3

all real numbers

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

The graph moves up 18 units.

The graph moves down 18 units.

The graph moves left 18 units.

The graph moves right 18 units.

To produce the graph of the function , what transformations should be applied to the graph of the parent function ?

a horizontal compression to produce a period of and a vertical compression

a horizontal compression to produce a period of and a vertical stretch

a horizontal stretch to produce a period of and a vertical compression

a horizontal stretch to produce a period of and a vertical stretch

Which is equivalent to cos-1(0)? Give your answer in radians.

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The matrix below represents a system of equations.Which matrix represents the solution to this system of equations?

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Which system of linear equations can be solved using the information below?

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Kayla and Mario are playing with a football at the park on a windy day. Mark throws the football straight up in the air, and a gust of wind blows it 10 feet west and 4 feet south from Mark.If represents the original location of the football, write a matrix that represents the location of the translated ball.a.c.b.d.

Which of the following is the graph of the function y = 4csc(x)?

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals negative 3 at (pi by 2 comma negative 3) and (negative 3 pi by 2 comma negative 3) and y equals negative 5 at (3 pi by 2 comma negative 5) and (negative pi by 2 comma negative 5).

On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 4 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 5 at (pi by 2 comma 5) and (negative 3 pi by 2 comma 5) and y equals negative 3 at (3 pi by 2 comma 3) and (negative pi by 2 comma 3).

On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (5 pi by 2 comma 4) and (pi by 2 comma 4) and y equals negative 4 at (3 pi by 2 comma negative 4) and (negative pi by 2 comma negative 4).

On a coordinate plane, the x axis ranges from negative pi to 3 pi with an interval of pi units and the y axis ranges from negative 8 to 8 with an interval of 4 units. The graph is 2 pi periodic with asymptotes at x equals plus or minus n pi. It touches the lines y equals 4 at (9 pi by 5 comma 4) and (pi by 5 comma 4) and y equals negative 4 at (14 pi by 5 comma negative 4) and (negative 4 pi by 5 comma negative 4).

Find the polar equation of the conic with the focus at the pole, directrix y = -6, and eccentricity 4.a.r = ; hyperbolac.r = ; hyperbolab.r = ; hyperbolad.r = ; ellipse

If and , what is X when ?

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Law of sines:

No triangles can be formed.

One triangle can be formed where angle B is about 15°.

One triangle can be formed where angle B is about 40°.

Two triangles can be formed where angle B is 40° or 140°.

Find the exact value of .a.c.b.d.

Which expression is equivalent to cos120°?

cos240°

cos300°

cos420°

What are the domain and range of the piecewise function below?

domain: range:

domain: or range: or

domain: range:

domain: or range: or

Write a vector equation of a line that passes through and is parallel to .a.c.b.d.

What is the equation of the graph below?

y = cosine (StartFraction x Over 0.4 EndFraction)

y = cos(5x)

y = cos(0.4x)

y = cosine (StartFraction x Over 5 EndFraction)

Write the equation of a hyperbola centered at the origin with x-intercepts and foci of . a. c. b. d. Please select the best answer from the choices provided

Which solution finds the value of x in the triangle below?

Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.

Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.

Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16

Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.

Which of the following is the graph of ?

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.

Determine two pairs of polar coordinates for (3,-3) when a. c. b. d. Please select the best answer from the choices provided

What are the domain and range of the function ?

domain: range:

domain:range:

domain: range:

Which is the equation of a hyperbola centered at the origin with y-intercepts , and asymptote ?a.c.b.d.

As Tia solved the system of equations below, she transformed matrices at different steps during the process.She noted the following matrices.IIIIIIIVIn which order should the matrices be arranged when solving the system from start to finish?