Teaching Math in the Intermediate Grades

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

• True
• False

If sin α= 2/7, then cos α = 7/2.

• True
• False

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

• True
• False

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

• True
• False

A clockwise direction is a positive measurement.

• True
• False

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

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

A polynomial function is defined as the sum of monomials.

• True
• False

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

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 value of the unknown side is ____.

The unknown measurement of the side of the triangle below is

π radian is equivalent to 1800

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

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

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Is csc2 θ = 1 – cot2 θ?

• True
• False

Is sin2θ cos2θ = 1?

• True
• False

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

cosine 900 is equal to 1.

• True
• False

All angles belongs to Quadrant III, which is not

Which of the following is the ordered pair for 3600?

π is equivalent to 1800.

• True
• False

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

Convert 34 = d in logarithmic form.

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

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.

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

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

The value of x is ____.

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

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

• 4
• 3
• 7
• 5

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

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

• True
• False

Identify √5 as irrational or rational.

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

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

• True
• False

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

• True
• False

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

• True
• False

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

• True
• False

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

2π is equals to 3600.

• True
• False

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

- 4π/3 is equivalent

Simplify sin x sec x/tanx .

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

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

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

• True
• False

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

What is the reference angle of 1600?

Simplify: log 7 49 = x – 4.

Base is where the exponent affixes

• True
• False

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

• True
• False

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

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

Coterminal angles are the same degrees.

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

• True
• False

The cofunction of cotangent is tangent.

• True
• False

The following degree measurements are found in Quadrant I, except

sin 2100 is equal to -1/2

• True
• False

The symbol i is called ________.

The trigonometric function of the ratio 7/25 is

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

• 1
• √3/2
• √3/4
• 1/2

The name of the Greek letter ξ is _______.

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

• True
• False

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

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

• True
• False

K is the capital letter for kappa.

• True
• False

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

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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Which of the following is coterminal of 900?

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 coterminal of -700 ?

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

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

The ratio for cosine is

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

1800 is equivalent to p radians.

• True
• False

All angles has a reference angle of 300, except

The Greek name for σ is rho.

• True
• False

The graph of the cosine functions always passes through the origin

• True
• False

The following angles belong to quadrant IV, except

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

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

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

• -26/9
• -58/12
• -29/6
• -15/4

What is the ratio of sin β?

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• 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

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

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

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

• True
• False

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

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

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

The exponential function of the graph below is:

The sin value of 1800 is

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

1.7 is a rational number

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

• True
• False

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

• True
• False

(-3π)/2 belongs to quadrant?

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

Zero and positive integers are the __________.

• Whole Numbers

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

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

Convert -3150 to radian measure.

The maximum point is the highest point a graph reach.

• True
• False

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

• True
• False

Which of the following polynomials has 3 terms?

Initial side of an angle is the one that rotates.

• True
• False

The following are all exponential function except

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

cosine – 600 is equal to - √3/2.

• True
• False

The unit circle is similar with coordinate plane.

• 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 inverse of d(x) = 3/x + 4?

In what quadrant do -1000 lies?

The following are all exponential functions, except

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

• True
• False

Solve: 2 csc x(3 – 2csc x + csc2 x)

Simplify: log 3 92x = x + 12

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

The cofunction of cosecant is cosine.

The following are the fundamental identities except

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

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

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

Hypotenuse is the longest side of a right triangle.

• True
• False

Identify √2 as s irrational or rational.

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

• 9
• 54
• -36
• -27

Subtract:

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

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

The reciprocal of cosine is sine.

• True
• False

Convert 53 = y to logarithmic form.

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

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

Identify ¾ as irrational or rational.

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

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

• f/g
• g/e
• g/f
• f/e

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

• True
• False

Is tanθ/cotθ = 1?

• True
• False

– 3120 can be found at Quadrant IV.

• True
• False

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

• Integers

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

• Natural Numbers

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

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

What is the exponential function of the table below?

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

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

Which of the following is equal to tan x?

What is the logarithmic form of dr = ba ?

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

When do graph of exponential function goes down?

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

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

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

• True
• False

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

• True
• False

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

• 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

What is the function to be use to solve x?

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

• True
• False

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

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

What is the quadrant of -1800?

The following are in standard position, except

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?

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

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

-900 is equivalent to - π/2 radians.

• True
• False

A counterclockwise direction makes a negative degree measurement.

• True
• False

The parts of the right triangle are

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

10000 belong to what quadrant?

Using the triangle below, which is the hypotenuse?

The graph below shows

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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Which of the following angle is in standard position?

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

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

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

• cosine
• tangent
• sine
• secant

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

• True
• False

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

• 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?

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

• 6
• 5
• 7
• 1

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

• Rational Numbers

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

• True
• False

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

In what quadrant does 5π/9 belong?

Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

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

• True
• False

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

• True
• False

The ratio for cosecant is

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

• 1/2
• -1
• 2
• (-1)/2

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

Express the sum and difference of cos 300.

What is (-3π)/11 in degree measures?

Given the triangle below, the legs are

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

The reciprocal of sine is

Radian uses the symbol π .

• True
• False

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

• True
• False

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

• -2
• 7
• -6
• 10

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

• True
• False

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

• True
• False

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

• True
• False

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

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

• 3
• 6
• -4
• 12

The value of sin 300 is

36250 can be found at quadrant?

A rational function is the product of two polynomials.

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

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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

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

• Irrational Numbers

Degree is a unit measure for angles.

• True
• False

What is the exponential form of log 12 d = k

The following may be seen in a right triangle, EXCEPT

The following are equal to 1, except

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

A rational function is the quotient of two polynomials

• True
• False

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

The following are all coterminal of 1350, except

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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The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

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

• 5
• 9
• 1
• 3

In what quadrant does -2100, can be found?

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

• True
• False

What is the value of cos – 300?

The exponential form of log b d2 = e is

The answer: for -73 = ___ is?

A polynomial function is defined as the product of monomials.

• True
• False

What is the coterminal of 00?

- 3π/4 is equal to how many degrees?

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

cos θ is equal to 1/sec⁡θ .

• True
• False

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

Solve for y

What is the length of side y?

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

Evaluate cos(900 + 900)

Which of the following is considered as an exponential function?

The ratio of cot θ is ____.

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

• True
• False