Teaching Math in the Intermediate Grades

Is tanθ/cotθ = 1?

• True
• False

If sin α= 2/7, then cos α = 7/2.

• True
• False

Find y in the exponential function 7y - 8 = 49?

Which of the following polynomial function has a degree of 3?

What is the remainder if 2x5 - 2x4 + 12 is divided by x - 2?

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

The value of sin 300 is

Which of the following is the ordered pair for 3600?

Using trigonometric functions, it can find and solve the unknown angles.

• True
• False

How many terms does the polynomial function g(x) = 7x2 + 3x3 - 12 + 24x6 - x4 has ?

• 6
• 5
• 7
• 1

The unit circle is similar with coordinate plane.

• True
• False

The following are in standard position, except

Express the sum and difference of cos 300.

The unknown value of m in m7 = 2187 is 3.

• True
• False

The cofunction of cotangent is tangent.

• True
• False

Ms. Lopez ensures that her students do not get lost by requiring them to stop when they finish an assignment and wait for others to finish

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The ratio of cot θ is ____.

The value of the unknown side is ____.

A clockwise direction is same as the movements of the hands of a clock.

• True
• False

The parts of the right triangle are

• Angles and legs
• Two legs and hypotenuse
• Three legs
• Leg and hypotenuse

What is the remainder when you divide x3 - 1 to x - 1?

What must be the value of the unknown in the box to make it an exponential function?

What is the ratio of tan λ, using the figure below

• f/g
• g/e
• g/f
• f/e

In what quadrant does 5π/9 belong?

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

The following are all coterminal of 1350, except

All angles has a reference angle of 300, except

In what quadrant does -2100, can be found?

What is the leading coefficient of the polynomial function h(x) = x3 + 2x4 - x7 + 12 -13x?

Identify ¾ as irrational or rational.

What is the coterminal of -700 ?

The graph of the cosine functions always passes through the origin

• True
• False

Which of the following is considered as an exponential function?

What is the value of x in the function h(x) = -2x + 12?

• 3
• 6
• -4
• 12

- 3π/4 is equal to how many degrees?

The log b 25 = 2 is equivalent to 2b = 25.

• True
• False

cos θ is equal to 1/sec⁡θ .

• True
• False

2π is equals to 3600.

• True
• False

The simplified form of sec2 x – 1 + tan2 x is

Find the value of z in 2/(z+5) = 12

• -26/9
• -58/12
• -29/6
• -15/4

Two students are working problems on the board while the rest of the class watches.

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Evaluate sin(900 + 300), using sum and difference formula.

• 1
• √3/2
• √3/4
• 1/2

Given the rational function (x+3)/5 = (x-7)/(x+1), what is the first step to solve it?

• Subtract x + 7 on both sides
• Multiply both sides by (5)(x + 1)
• Add x + 1 on both sides
• Divide both sides by x + 3

What is the quotient when you divide cot3 x – sec3 x by cot x – sec x?

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

The reciprocal of cosine is sine.

• True
• False

Which of the following is the inverse of d(x) = 3/x + 4?

Simplify: log 3 92x = x + 12

If the length of two legs were given, then the right triangle may be solve.

• True
• False

The sum of the trigonometric functions 2 sin x + 5 and 4 - sin x is

A polynomial function is defined as the product of monomials.

• True
• False

Is sin (α + β) = sin α cos β - cos α sin β?

• True
• False

Solve for y

The given polynomial function is h(x) = (x - 3)(x + 5) (x - 1)(2x - 1)(x + 7), what is the degree of the function?

Students are acting out a problem in front of the class. Others in the class participate in a discussion of the problem.

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What is the logarithmic form of dr = ba ?

• log r ba = d
• log d b= ra
• log d ba = r
• log r d= ba

The maximum point is the highest point a graph reach.

• True
• False

Convert 34 = d in logarithmic form.

What is the exponential form of log 12 d = k

Evaluate the polynomial function f(3) = 2x3 + 3x2 - 7x - 51.

• 9
• 54
• -36
• -27

Simplify: log 7 49 = x – 4.

If the length of the hypotenuse and one leg of a right triangle were known, the right triangle can be solve.

• True
• False

Using the triangle below, which is the hypotenuse?

What is the next step if you’re going to derived the identity 1 – cos2 x = sin2 x and to equated to 1?

What is the value of the exponential function h(-3) = 3x – 2?

π radian is equivalent to 1800

• True
• False

What is the value of x in (x+8)/(2x-5) = -3?

3 sin x + 2 sin2x cannot be added because they don’t have similar terms

• True
• False

If you convert -43 = -64 to logarithmic form, the answer: is log -4 -64 = 3

• True
• False

From the figure below, the trigonometric function to be use if the given ratio 37/35 is

• sec π
• sin ϕ
• csc π
• cos π

In what quadrant do -1000 lies?

From the exponential function g(x) = ax, either a or x cannot be negative integer.

A triangular parcel of land with points E, F, G was to be fenced. ∠E = 47° and ∠F = 78°. EG = 180m. What is the measurement of ∠G?

What is the coterminal of 00?

Given the triangle below, the legs are

• AB & BC
• BC & AC
• AC & CB
• AB & BA

What is the degree of the polynomial function m(x) = -6x5 + x4 – 3x7 + 10

• -2
• 7
• -6
• 10

Subtract:

Given the rational function (x+10)/2x = 5, what is the first step to simplify it?

• Multiply both sides to 2x
• Subtract 5 to both sides
• Divide the right side to 2x.
• Switch 5 and 2x.

The counting numbers (1, 2, 3, ...), and their counterparts (-1, -2, -3, ...), and zero are __________.

• Integers

1800 is equivalent to p radians.

• True
• False

– 3120 can be found at Quadrant IV.

• True
• False

Students have done their work on chart paper and are holding the chart paper while explaining to the class how their reached their conclusions.

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In arranging the polynomial function h(x) = 2x + 3x5 - 7x3 + 22, in ascending order, the first term is 3x5.

• True
• False

sin 2100 is equal to -1/2

• True
• False

If we solve f(x) = x - 7, the value of x is 7.

• True
• False

The ascending order of a polynomial function is if the exponents are arranged from smallest to highest.

• True
• False

Base is where the exponent affixes

• True
• False

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

Convert -3150 to radian measure.

From the unit circle, the ordered pair (0, 1) can be found along x-axis at the left.

36250 can be found at quadrant?

In arranging the polynomial function b(x) = 8 + 5x3 - 7x8 + 12x5 - x in descending order, the last term is - x.

• True
• False

The value of x in the function k(x) = -x + 3 is -3.

• True
• False

The ratio for cosine is

Using the exponential function g(x) = 22x + 3. Complete the table below.

The unknown value of q in 4q = 4096 is 7.

• True
• False

Mr. Roberts stimulates students' curiosity and encourages them to investigate further by asking them questions that begin with, "What would happen if..?"

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What is the reference angle of 1600?

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

The Law of Cosines may apply if the given are two angles and the included side.

• True
• False

Is cos (α + β) = cos α cos β - sin α sin β?

• True
• False

Which of the following is the sum of 3 cos x + 12 and 5cos x - 8?

• 8 cos x + 4
• 2 cos x + 4
• 8 cos x - 4
• 2 cos x - 4

n degrees, what is the equivalent value of 7π/8 ?

What is the unknown measurement of the side of the right triangle below?

Evaluate cos(900 + 900)

The following are the ordered pairs in a unit circle, which is NOT?

Which of the following is equal to tan x?

The following are all exponential function except

• g(x) = x5
• g(x) = bx
• –g(x) = 2xx-1
• g(x) = -3x

Which of the following is the graph of a polynomial function?

the counting numbers, this set holds all of the whole numbers except zero (1, 2, 3, ....)

• Natural Numbers

Solve: 2 csc x(3 – 2csc x + csc2 x)

John Napier is the one who first used the term logarithm.

• True
• False

A rational function is the quotient of two polynomials

• True
• False

In △PAN, P = 27.5°, A = 90°, what is the angle measurement of N?

What is the trigonometric function to be use to solve for y?

Simplify: f(-5) = 4b2 + 8b - 35

A polynomial function is defined as the sum of monomials.

• True
• False

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

A counterclockwise direction makes a negative degree measurement.

• True
• False

The students in Mr. McCollum's class are talking to each other about math problems.

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Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

What is the ratio of sin β?

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

Divide 12 tan4 x + 8 tan3 x – 10 tan2 x – 6 tan x by 2 tan x.

• 6 tan3 x + 4 tan2 x – 5 tan x + 3
• 6 tan3 x - 4 tan2 x + 5 tan x – 3 tan x
• 6 tan3 x + 4 tan2 x – 5 tan x - 3
• 6 tan4 x + 4 tan3 x – 5 tan2 x – 3 tan x

The name of the Greek letter ξ is _______.

Is sin2θ cos2θ = 1?

• True
• False

The trigonometric function of the ratio 7/25 is

In 900 position of the terminal side in a unit circle, the value of cosine is

K is the capital letter for kappa.

• True
• False

What is the exponential function of the table below?

• g(x) = 2x
• g(x) = -2x
• g(x) = -3x
• g(x) = -2x- 1

- 2π and 2π can be found at two opposite direction

• True
• False

The ratio for cosecant is

Reference angles are angles that are less than 900 and always positive.

• True
• False

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

The following are the steps in solving the x of the function 32x + 7 = 27. What is the correct step?

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

What is the measurement of the other leg if the hypotenuse is 12 and the shortest leg is 3?

(-3π)/2 belongs to quadrant?

• Quadrant II
• Quadrant I
• Quadrant III
• Quadrant IV

A rational function is the product of two polynomials.

if you’re going to sketch the graph of f(x) = 7sin Θ. 7 stands for

If the smallest leg of a right triangle measure 5cm and the other leg measure 12 cm, how long is the longest side?

The symbol of omega in lower case and upper case are ω and Ω

• True
• False

It refers to the position of the terminal sides of different degrees and yet located at the same position.

What is the other identity you can derived from 1 + cot2 x = csc2 x?

is any number which can be written in a fractional form.

• Rational Numbers

Radian uses the symbol π .

• True
• False

The inverse of the function of f(x) = x -12 is g(x) = x + 12.

• True
• False

All angles belongs to Quadrant III, which is not

The expression log g k = w is read as "The logarithm of g base k is w."

• True
• False

The following are all exponential functions, except

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

cosine 900 is equal to 1.

• True
• False

The value of x is ____.

Identify √2 as s irrational or rational.

1.7 is a rational number

• True
• False

Students read about the history of the Pythagorean Theorem. After reading, they solve problems using the theorem. Students then write about what they did compared to original uses of the Pythagorean Theorem.

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Any real number that cannot be expressed in fractional form is an __________.

• Irrational Numbers

Which of the following is coterminal of 900?

What is the function to be use to solve x?

What is the value of g in the logarithmic form log 4 1024 = g?

• 4
• 3
• 7
• 5

Hypotenuse is the longest side of a right triangle.

• True
• False

Using the polynomial function f(x) = 5x2 + 21, what is the value of the unfilled box in the table of values below.

The exponential function of the graph below is:

The cofunction of cosecant is cosine.

At the end of class Ms. Stark collects everyone's worksheet and grades them.

• At the end of class Ms. Stark collects everyone's worksheet and grades them.
• Answer:
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The inverse of 2x + 5 is 2/x-5

The following degree measurements are found in Quadrant I, except

Students are in groups. One student in the group works out the problem while the others closely observe.

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A clockwise direction is a positive measurement.

• True
• False

The leading coefficient of the polynomial function b(x) = 8 + 5x3 - 7x8 + 12x5 - x is 8.

• True
• False

Degree is a unit measure for angles.

• True
• False

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

To verify if k(x) = x/2 - 7 and j(x) = 2x + 7 are inverses of each other, the first step is:

Is any number which can name a location on a number line Every location on a number line can be called in some way by a ___________.

• Real Numbers

What is the value of cos – 300?

Simplify sin x sec x/tanx .

The unknown value of q in the exponential function 3q = 243 is 5.

• True
• False

The graph below shows

Zero and positive integers are the __________.

• Whole Numbers

In simplifying the exponential function 32x + 7 = 27, the value of x is

• 2x = -4
• x = - 2
• x = 2
• x = -4

Cos 1150 is equal to cos( 300 + 600 + 150)

The answer: for -73 = ___ is?

Simplify the function k(-3) = 3y4 + 2y5 - 21 11. Simplify the function k(-3) = 3y4 + 2y5 - 21

How many terms does the polynomial function n(z) = 4 + z5 – 5z2 – 0 + 12z7 has?

The initial side is found in either x or y - axis.

• True
• False

The graph of an exponential functions has 3 or more turning points

• True
• False

cosine – 600 is equal to - √3/2.

• True
• False

Is csc2 θ = 1 – cot2 θ?

• True
• False

The following angles belong to quadrant IV, except

Which of the following angle is in standard position?

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

The unknown measurement of the side of the triangle below is

In Pythagorean identity, The following are equal to 1, except

If the hypotenuse and one acute angle were given, all unknowns of the oblique triangle may be solve.

• True
• False

-900 is equivalent to - π/2 radians.

• True
• False

Coterminal angles are the same degrees.

The reciprocal of sine is

The sin value of 1800 is

What is the value of b in 6b = 1/36?

Given the polynomial function: p(x) = 2x + 7x4 – x2 + 3x3 -13 + x5, which of the following is the correct arrangement in ascending order?

Which of the following is the graph of a polynomial function if the leading coefficient is positive and the degree is even?

Which of the following function is properly arranged in descending order?

• j(x) = x2 + 2x3 - 3x4 + 4x5
• f(x) = x7 + 5x4 – 4x3 – 3x2 + 2x - 1
• h(x) = x3 + x2 - x4 + 15
• g(x) = 10x3 - 8x4 + 6x5 - 4x6 + 2x

Convert 53 = y to logarithmic form.

The remainder theorem is used to find the remainder of two polynomials.

• True
• False

The symbol i is called ________.

Subtract 4 cot2 x – 3 cot x + 12 from -5 cot2 x – 3 cot x – 11.

Mr. Swanson believes that all students should get the same instruction at the same time. To accomplish this he only uses whole group instruction.

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What is the direction of the graph of the exponential function f(x) = 5-x?

What is the degree of the polynomial function m(x) = 5x3 + 3x7 - 2x4 + x9 - 18?

• 5
• 9
• 1
• 3

Using the exponential function, e(x) = 4x, continue the value of f(x) from the table below.

The degree of the polynomial function in one variable is the largest exponent of its variable.

• True
• False

The exponential form of log b d2 = e is

The trigonometric function to be use in order to solve x is ____.

• cosine
• tangent
• sine
• secant

- 4π/3 is equivalent

What is the length of side y?

What is the first step in solving the exponential function -3x + 5 = 81?

When do graph of exponential function goes down?

The Greek name for σ is rho.

• True
• False

What is the quadrant of -1800?

The first three trigonometric functions are sine, cosine and tangent.

• True
• False

The following are equal to 1, except

What is the value of x in the function g(x) = 2x - 1?

• 1/2
• -1
• 2
• (-1)/2

10000 belong to what quadrant?

The following may be seen in a right triangle, EXCEPT

You may apply the Law of Sines if two sides and an angle opposite one of these sides are given or the SSA.

• True
• False

An exponential function is represented as g(x) = x3.

• True
• False

When arrange in ascending order, the last term of the polynomial function m(x) = -6x5 + x4 – 3x7 + 10 must be?

• + x4
• +10
• -3x7
• -6x5

Given the polynomial function f(x) = (x + 5)(x - 7)(x + 3), what is the first step to graph it.

What is (-3π)/11 in degree measures?

Which of the following polynomials has 3 terms?

The graph of f(x) = 7x and f(x) = 7x – 3 swift to the right and going down.

• True
• False

Identify √5 as irrational or rational.

Initial side of an angle is the one that rotates.

• True
• False

π is equivalent to 1800.

• True
• False

If the polynomial functions leading coefficient is negative and the degree is odd, where do the graph starts?

When you substitute -3 in the polynomial function a(x) = 7x3 + 8x2 + 20, the value of x is 135.

• True
• False

The following are the fundamental identities except

Which of the following table of values shows an example of exponential function?