Teaching Math in the Intermediate Grades

A clockwise direction is a positive measurement.

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

• True
• False

A polynomial function is defined as the sum of monomials.

• True
• False

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

• True
• False

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

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 Greek name for σ is rho.

• True
• False

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

• 1/2
• -1
• 2
• (-1)/2

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

In what quadrant does 5π/9 belong?

-900 is equivalent to - π/2 radians.

• True
• False

Convert 53 = y to logarithmic form.

Base is where the exponent affixes

• True
• False

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

Identify √5 as irrational or rational.

In what quadrant does -2100, can be found?

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

• f/g
• g/e
• g/f
• f/e

The symbol i is called ________.

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

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

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

• 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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A polynomial function is defined as the product of monomials.

• True
• False

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

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

• 6
• 5
• 7
• 1

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

• True
• False

What is the coterminal of 00?

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

What is the coterminal of -700 ?

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

sin 2100 is equal to -1/2

• True
• False

Initial side of an angle is the one that rotates.

• True
• False

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

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

Which of the following is considered as an exponential function?

cosine 900 is equal to 1.

• True
• False

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.

2π is equals to 3600.

• True
• False

1.7 is a rational number

• True
• False

The following are all exponential functions, except

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

The maximum point is the highest point a graph reach.

• True
• False

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

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

• + x4
• +10
• -3x7
• -6x5

Which of the following angle is in standard position?

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

• True
• False

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 ratio of sin β?

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

The parts of the right triangle are

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

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

• True
• False

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

The following are all exponential function except

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

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

• -26/9
• -58/12
• -29/6
• -15/4

In what quadrant do -1000 lies?

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

• True
• False

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

The name of the Greek letter ξ is _______.

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

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

The unit circle is similar with coordinate plane.

• True
• False

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

• cosine
• tangent
• sine
• secant

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

• True
• False

Is sin2θ cos2θ = 1?

• True
• False

36250 can be found at quadrant?

The value of x is ____.

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

• True
• False

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

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

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

• True
• False

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

• True
• False

What is the length of side y?

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

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

• True
• False

What is the value of cos – 300?

Degree is a unit measure for angles.

• True
• False

A counterclockwise direction makes a negative degree measurement.

• True
• False

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

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

• True
• False

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

• True
• False

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

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

The cofunction of cotangent is tangent.

• 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 graph of the cosine functions always passes through the origin

• True
• False

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

• True
• False

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

• True
• False

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

• 5
• 9
• 1
• 3

- 3π/4 is equal to how many degrees?

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

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

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The following are in standard position, except

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

Subtract:

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

cos θ is equal to 1/sec⁡θ .

• True
• False

π radian is equivalent to 1800

• True
• False

(-3π)/2 belongs to quadrant?

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

Simplify: log 3 92x = x + 12

Given the triangle below, the legs are

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

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

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

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

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

• True
• False

The following are the fundamental identities except

What is the function to be use to solve x?

π is equivalent to 1800.

• True
• False

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

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

The exponential form of log b d2 = e is

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

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

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

• True
• False

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

• True
• False

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

The following angles belong to quadrant IV, except

Coterminal angles are the same degrees.

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

K is the capital letter for kappa.

• True
• False

Which of the following is the ordered pair for 3600?

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 following may be seen in a right triangle, EXCEPT

Solve for y

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

• True
• False

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

• -2
• 7
• -6
• 10

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

Evaluate cos(900 + 900)

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

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

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

• True
• False

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

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

Hypotenuse is the longest side of a right triangle.

• True
• False

Convert 34 = d in logarithmic form.

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

• True
• False

The following degree measurements are found in Quadrant I, except

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

• True
• False

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

Which of the following is coterminal of 900?

Radian uses the symbol π .

• True
• False

- 4π/3 is equivalent

Identify √2 as s irrational or rational.

Convert -3150 to radian measure.

The value of sin 300 is

Which of the following polynomials has 3 terms?

The graph below shows

cosine – 600 is equal to - √3/2.

• True
• False

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

• 3
• 6
• -4
• 12

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

• True
• False

What is the quadrant of -1800?

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

Zero and positive integers are the __________.

• Whole Numbers

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

The following are all coterminal of 1350, except

Which of the following is equal to tan x?

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

Solve: 2 csc x(3 – 2csc x + csc2 x)

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

• 1
• √3/2
• √3/4
• 1/2

The trigonometric function of the ratio 7/25 is

What is the reference angle of 1600?

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

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

• True
• False

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

Simplify sin x sec x/tanx .

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

• Irrational Numbers

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

• 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

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

A rational function is the quotient of two polynomials

• True
• False

The ratio for cosecant is

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

• Rational Numbers

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

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

What is (-3π)/11 in degree measures?

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

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

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

• True
• False

Identify ¾ as irrational or rational.

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 simplified form of sec2 x – 1 + tan2 x is

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

• True
• False

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

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

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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1800 is equivalent to p radians.

• True
• False

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

• True
• False

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

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

• 9
• 54
• -36
• -27

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

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

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 cofunction of cosecant is cosine.

The reciprocal of sine is

What is the exponential form of log 12 d = k

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

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

• 4
• 3
• 7
• 5

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

The value of the unknown side is ____.

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

• True
• False

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

If sin α= 2/7, then cos α = 7/2.

• True
• False

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

All angles has a reference angle of 300, except

The following are equal to 1, except

The sin value of 1800 is

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

• True
• False

A rational function is the product of two polynomials.

Is csc2 θ = 1 – cot2 θ?

• True
• False

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

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

• True
• False

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

• True
• False

10000 belong to what quadrant?

The reciprocal of cosine is sine.

• True
• False

All angles belongs to Quadrant III, which is not

Is tanθ/cotθ = 1?

• True
• False

Express the sum and difference of cos 300.

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 answer: for -73 = ___ is?

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

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

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

• True
• False

Simplify: log 7 49 = x – 4.

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

• Integers

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

The ratio for cosine is

The unknown measurement of the side of the triangle below is

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

Using the triangle below, which is the hypotenuse?

The ratio of cot θ is ____.

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

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

• Natural Numbers

When do graph of exponential function goes down?