Teaching Math in the Intermediate Grades

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

• -2
• 7
• -6
• 10

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

• True
• False

What is the length of side y?

Express the sum and difference of cos 300.

In what quadrant does -2100, can be found?

The cofunction of cosecant is cosine.

In what quadrant do -1000 lies?

All angles has a reference angle of 300, except

A rational function is the product of two polynomials.

The following are all exponential functions, except

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

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

• True
• False

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

A clockwise direction is a positive measurement.

• True
• False

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

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

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

• True
• False

The unknown measurement of the side of the triangle below is

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

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

• True
• False

The sin value of 1800 is

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

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

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

Identify ¾ as irrational or rational.

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

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

• True
• False

What is the ratio of sin β?

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

• True
• False

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

• True
• False

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

• True
• False

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 ratio of cot θ is ____.

π is equivalent to 1800.

• True
• False

Simplify: log 7 49 = x – 4.

The unit circle is similar with coordinate plane.

• True
• False

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

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

Identify √5 as irrational or rational.

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

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

What is the logarithmic form of dr = ba ?

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

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

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

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

• 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

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

What is the function to be use to solve x?

(-3π)/2 belongs to quadrant?

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

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

What is the reference angle of 1600?

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

Is csc2 θ = 1 – cot2 θ?

• 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?

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

• True
• False

Base is where the exponent affixes

• True
• False

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

• True
• False

The following are equal to 1, except

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

Simplify: log 3 92x = x + 12

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

• Integers

Evaluate cos(900 + 900)

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

The reciprocal of cosine is sine.

• True
• False

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

• True
• False

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 ratio for cosecant is

Which of the following is the ordered pair for 3600?

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

• 6
• 5
• 7
• 1

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

• True
• False

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

• 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

The ratio for cosine is

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

• 1
• √3/2
• √3/4
• 1/2

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

The Greek name for σ is rho.

• True
• False

Given the triangle below, the legs are

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

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

• 1/2
• -1
• 2
• (-1)/2

The value of sin 300 is

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

The following may be seen in a right triangle, EXCEPT

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

• Irrational Numbers

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

A counterclockwise direction makes a negative degree measurement.

• True
• False

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

• True
• False

What is the exponential function of the table below?

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

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

• Natural Numbers

Which of the following polynomials has 3 terms?

The answer: for -73 = ___ is?

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

• True
• False

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

cosine – 600 is equal to - √3/2.

• True
• False

What is the exponential form of log 12 d = k

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

• True
• False

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

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

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

• True
• False

The maximum point is the highest point a graph reach.

• True
• False

π radian is equivalent to 1800

• True
• False

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

• 9
• 54
• -36
• -27

The following are all coterminal of 1350, except

What is the coterminal of 00?

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

– 3120 can be found at Quadrant IV.

• True
• False

Is sin2θ cos2θ = 1?

• True
• False

The exponential function of the graph below is:

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

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 following are in standard position, except

All angles belongs to Quadrant III, which is not

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

• True
• False

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

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

Which of the following is coterminal of 900?

The following are all exponential function except

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

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

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

• True
• False

What is the value of cos – 300?

Which of the following angle is in standard position?

2π is equals to 3600.

• True
• False

sin 2100 is equal to -1/2

• True
• False

If sin α= 2/7, then cos α = 7/2.

• True
• False

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

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

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

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

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

1800 is equivalent to p radians.

• True
• False

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

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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cosine 900 is equal to 1.

• True
• False

A polynomial function is defined as the sum of monomials.

• True
• False

1.7 is a rational number

• 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

K is the capital letter for kappa.

• True
• False

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

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

The value of the unknown side is ____.

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• 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?

36250 can be found at quadrant?

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

• 3
• 6
• -4
• 12

The graph below shows

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

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

- 3π/4 is equal to how many degrees?

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

Zero and positive integers are the __________.

• Whole Numbers

The reciprocal of sine is

The parts of the right triangle are

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

cos θ is equal to 1/sec⁡θ .

• True
• False

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

Simplify sin x sec x/tanx .

Convert -3150 to radian measure.

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

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

• -26/9
• -58/12
• -29/6
• -15/4

Subtract:

The following degree measurements are found in Quadrant I, except

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

• True
• False

-900 is equivalent to - π/2 radians.

• True
• False

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

• 2x = -4
• x = - 2
• x = 2
• 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

The following are the fundamental identities except

The following angles belong to quadrant IV, except

Radian uses the symbol π .

• True
• False

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

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

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

The graph of the cosine functions always passes through the origin

• True
• False

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

• True
• False

A rational function is the quotient of two polynomials

• True
• False

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

• True
• False

10000 belong to what quadrant?

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

The exponential form of log b d2 = e 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?

Initial side of an angle is the one that rotates.

• True
• False

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

Convert 34 = d in logarithmic form.

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

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

Solve: 2 csc x(3 – 2csc x + csc2 x)

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

Convert 53 = y to logarithmic form.

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

• Rational Numbers

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

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

• 4
• 3
• 7
• 5

What is (-3π)/11 in degree measures?

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

The symbol i is called ________.

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

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

• True
• False

In what quadrant does 5π/9 belong?

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

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

- 4π/3 is equivalent

The name of the Greek letter ξ is _______.

Using the triangle below, which is the hypotenuse?

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

Which of the following is considered as an exponential function?

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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Coterminal angles are the same degrees.

The cofunction of cotangent is tangent.

• True
• False

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

• cosine
• tangent
• sine
• secant

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

• 5
• 9
• 1
• 3

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

When do graph of exponential function goes down?

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.

A polynomial function is defined as the product of monomials.

• True
• False

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

• 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

Hypotenuse is the longest side of a right triangle.

• True
• False

What is the coterminal of -700 ?

Solve for y

What is the quadrant of -1800?

Identify √2 as s irrational or rational.

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

Which of the following is equal to tan x?

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

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

• True
• False

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

The value of x is ____.

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

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

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

• True
• False

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

• True
• False

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

• True
• False

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

• True
• False

The trigonometric function of the ratio 7/25 is

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

• True
• False

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

• True
• False

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