Teaching Math in the Intermediate Grades

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

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

sin 2100 is equal to -1/2

• True
• False

The reciprocal of sine is

The following are all coterminal of 1350, except

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

The ratio for cosecant is

Which of the following angle is in standard position?

The name of the Greek letter ξ is _______.

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

• True
• False

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

• Irrational Numbers

Which of the following is considered as an exponential function?

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

• True
• False

The sin value of 1800 is

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

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

Subtract:

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

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

Convert 34 = d in logarithmic form.

The graph below shows

What is the ratio of sin β?

What is (-3π)/11 in degree measures?

– 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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Is tanθ/cotθ = 1?

• True
• False

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

• f/g
• g/e
• g/f
• f/e

Simplify: log 7 49 = x – 4.

(-3π)/2 belongs to quadrant?

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

π is equivalent to 1800.

• True
• False

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

Solve: 2 csc x(3 – 2csc x + csc2 x)

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

• True
• False

The following angles belong to quadrant IV, except

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

• True
• False

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

Which of the following polynomials has 3 terms?

Given the triangle below, the legs are

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

In what quadrant does -2100, can be found?

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

Which of the following is coterminal of 900?

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

Zero and positive integers are the __________.

• Whole Numbers

What is the function to be use to solve x?

What is the exponential function of the table below?

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

A polynomial function is defined as the product of monomials.

• True
• False

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

• 6
• 5
• 7
• 1

The exponential form of log b d2 = e is

What is the coterminal of 00?

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

• True
• False

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

• True
• False

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

A polynomial function is defined as the sum of monomials.

• True
• False

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

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

In what quadrant do -1000 lies?

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

Simplify sin x sec x/tanx .

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

• True
• False

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

A clockwise direction is a positive measurement.

• True
• False

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

• -26/9
• -58/12
• -29/6
• -15/4

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

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

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

• True
• False

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

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

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

What is the exponential form of log 12 d = k

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

• True
• False

Identify √5 as irrational or rational.

Evaluate cos(900 + 900)

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

• True
• False

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

• Natural Numbers

Using the triangle below, which is the hypotenuse?

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

• True
• False

Is csc2 θ = 1 – cot2 θ?

• 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

The cofunction of cosecant is cosine.

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

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?

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 graph of the cosine functions always passes through the origin

• True
• False

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

• True
• False

π radian is equivalent to 1800

• True
• False

The answer: for -73 = ___ is?

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

• True
• False

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

• True
• False

The value of x is ____.

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

• 3
• 6
• -4
• 12

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

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

• True
• False

K is the capital letter for kappa.

• True
• False

If sin α= 2/7, then cos α = 7/2.

• True
• False

cosine – 600 is equal to - √3/2.

• True
• False

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

• True
• False

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

The exponential function of the graph below is:

A rational function is the quotient of two polynomials

• True
• False

The value of the unknown side is ____.

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

• 1
• √3/2
• √3/4
• 1/2

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

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

- 4π/3 is equivalent

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

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

• True
• False

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

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

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

• True
• False

Radian uses the symbol π .

• True
• False

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

cosine 900 is equal to 1.

• True
• False

The symbol i is called ________.

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

• + x4
• +10
• -3x7
• -6x5

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

A counterclockwise direction makes a negative degree measurement.

• True
• False

The following are all exponential function except

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

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

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

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

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

• True
• False

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

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

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

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

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

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

• True
• False

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

When do graph of exponential function goes down?

What is the logarithmic form of dr = ba ?

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

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

• -2
• 7
• -6
• 10

The ratio of cot θ is ____.

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

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

• True
• False

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

Convert -3150 to radian measure.

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

• True
• False

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 cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

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

• True
• False

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

• 9
• 54
• -36
• -27

The cofunction of cotangent is tangent.

• True
• False

The following are in standard position, except

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

• Integers

Solve for y

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

1.7 is a rational number

• True
• False

1800 is equivalent to p radians.

• True
• False

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 graph of an exponential functions has 3 or more turning points

• True
• False

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

The following are the fundamental identities except

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

Degree is a unit measure for angles.

• True
• False

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

• True
• False

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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-900 is equivalent to - π/2 radians.

• 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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The Greek name for σ is rho.

• True
• False

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

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

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

• True
• False

The following may be seen in a right triangle, EXCEPT

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

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

Identify √2 as s irrational or rational.

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

All angles has a reference angle of 300, except

36250 can be found at quadrant?

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

• True
• False

- 3π/4 is equal to how many degrees?

Hypotenuse is the longest side of a right triangle.

• True
• False

Identify ¾ as irrational or rational.

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

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

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

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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What is the value of cos – 300?

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

• True
• False

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

• True
• False

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

• 5
• 9
• 1
• 3

Which of the following is equal to tan x?

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

• True
• False

10000 belong to what quadrant?

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

• True
• False

The following are all exponential functions, except

The ratio for cosine is

Which of the following is the ordered pair for 3600?

The trigonometric function of the ratio 7/25 is

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

Express the sum and difference of cos 300.

The following degree measurements are found in Quadrant I, except

The parts of the right triangle are

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

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 trigonometric function to be use to solve for y?

What is the coterminal of -700 ?

Coterminal angles are the same degrees.

Initial side of an angle is the one that rotates.

• True
• False

The unit circle is similar with coordinate plane.

• True
• False

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

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

Is sin2θ cos2θ = 1?

• True
• False

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

Convert 53 = y to logarithmic form.

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

• 4
• 3
• 7
• 5

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

• Rational Numbers

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

What is the reference angle of 1600?

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

What is the length of side y?

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

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

• cosine
• tangent
• sine
• secant

The unknown measurement of the side of the triangle below is

The reciprocal of cosine is sine.

• True
• False

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

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

• True
• False

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

• True
• False

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

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

All angles belongs to Quadrant III, which is not

The maximum point is the highest point a graph reach.

• True
• False

The inverse of 2x + 5 is 2/x-5

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

2π is equals to 3600.

• True
• False

cos θ is equal to 1/sec⁡θ .

• True
• False

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

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

• True
• False

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

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What is the quadrant of -1800?

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

The value of sin 300 is

In what quadrant does 5π/9 belong?

A rational function is the product of two polynomials.

Simplify: log 3 92x = x + 12

Base is where the exponent affixes

• True
• False