Teaching Math in the Intermediate Grades

The Greek name for σ is rho.

• True
• False

Convert 34 = d in logarithmic form.

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

• True
• False

What is the function to be use to solve x?

36250 can be found at quadrant?

1800 is equivalent to p radians.

• True
• False

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

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

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

• True
• False

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

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

Degree is a unit measure for angles.

• True
• False

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

The parts of the right triangle are

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

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

In what quadrant does 5π/9 belong?

The graph below shows

- 4π/3 is equivalent

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

Express the sum and difference of cos 300.

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

• True
• False

The name of the Greek letter ξ is _______.

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

Is csc2 θ = 1 – cot2 θ?

• True
• False

Which of the following is coterminal of 900?

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

Is sin2θ cos2θ = 1?

• True
• False

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

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

Simplify: log 7 49 = x – 4.

A rational function is the product of two polynomials.

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

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

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

• True
• False

The following angles belong to quadrant IV, except

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

cosine 900 is equal to 1.

• True
• False

K is the capital letter for kappa.

• True
• False

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

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

The ratio for cosecant is

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

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

The unit circle is similar with coordinate plane.

• True
• False

- 3π/4 is equal to how many degrees?

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

A polynomial function is defined as the product of monomials.

• True
• False

Radian uses the symbol π .

• 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.

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

• True
• False

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

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

10000 belong to what quadrant?

Simplify: log 3 92x = x + 12

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

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

The sin value of 1800 is

Given the triangle below, the legs are

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

Is tanθ/cotθ = 1?

• 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

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

• f/g
• g/e
• g/f
• f/e

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

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

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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Zero and positive integers are the __________.

• Whole Numbers

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

The cofunction of cotangent is tangent.

• True
• False

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

• True
• False

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

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

All angles belongs to Quadrant III, which is not

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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– 3120 can be found at Quadrant IV.

• True
• False

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

• True
• False

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

-900 is equivalent to - π/2 radians.

• True
• False

The maximum point is the highest point a graph reach.

• True
• False

The graph of the cosine functions always passes through the origin

• True
• False

Solve for y

What is (-3π)/11 in degree measures?

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

• True
• False

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

• 6
• 5
• 7
• 1

Subtract:

In what quadrant does -2100, can be found?

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

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

• 5
• 9
• 1
• 3

The ratio of cot θ is ____.

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

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

• 1/2
• -1
• 2
• (-1)/2

The exponential function of the graph below is:

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

• True
• False

The value of x is ____.

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

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

Evaluate cos(900 + 900)

A rational function is the quotient of two polynomials

• True
• False

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

• True
• False

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

• True
• False

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

• Rational Numbers

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

• True
• False

What is the coterminal of -700 ?

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

• Integers

2π is equals to 3600.

• True
• False

The value of sin 300 is

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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Identify √5 as irrational or rational.

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

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

cos θ is equal to 1/sec⁡θ .

• True
• False

The trigonometric function of the ratio 7/25 is

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

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

• True
• False

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

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

• 3
• 6
• -4
• 12

π radian is equivalent to 1800

• True
• False

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

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All angles has a reference angle of 300, except

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

• True
• False

What is the exponential form of log 12 d = k

The following may be seen in a right triangle, EXCEPT

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

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

• Irrational Numbers

Which of the following polynomials has 3 terms?

The following degree measurements are found in Quadrant I, except

The symbol i is called ________.

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?

Identify √2 as s irrational or rational.

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 following are in standard position, except

1.7 is a rational number

• True
• False

The following are all exponential function except

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

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 fundamental identities except

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

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

• -2
• 7
• -6
• 10

Coterminal angles are the same degrees.

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

• True
• False

Identify ¾ as irrational or rational.

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

Which of the following is the ordered pair for 3600?

A clockwise direction is a positive measurement.

• True
• False

What is the coterminal of 00?

Convert -3150 to radian measure.

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

• True
• False

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

A polynomial function is defined as the sum of monomials.

• 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

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

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?

π is equivalent to 1800.

• True
• False

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

• True
• False

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

• 1
• √3/2
• √3/4
• 1/2

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

Which of the following is considered as an exponential function?

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

• True
• False

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

• cosine
• tangent
• sine
• secant

Convert 53 = y to logarithmic form.

The cofunction of cosecant is cosine.

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

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

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

A counterclockwise direction makes a negative degree measurement.

• True
• False

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

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

• True
• False

Solve: 2 csc x(3 – 2csc x + csc2 x)

The unknown measurement of the side of the triangle below is

Using the triangle below, which is the hypotenuse?

The answer: for -73 = ___ is?

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

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

What is the length of side y?

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

The value of the unknown side is ____.

When do graph of exponential function goes down?

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

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?

The following are equal to 1, except

The following are all coterminal of 1350, except

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

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

• Natural Numbers

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

• 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?

The following are all exponential functions, except

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

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

• True
• False

What is the value of cos – 300?

Simplify sin x sec x/tanx .

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

• True
• False

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

• 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

If sin α= 2/7, then cos α = 7/2.

• True
• False

Base is where the exponent affixes

• 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

cosine – 600 is equal to - √3/2.

• True
• False

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

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

• True
• False

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

• 9
• 54
• -36
• -27

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

• True
• False

What is the reference angle of 1600?

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

• True
• False

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

• 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

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

In what quadrant do -1000 lies?

(-3π)/2 belongs to quadrant?

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

The exponential form of log b d2 = e is

The ratio for cosine is

The reciprocal of cosine is sine.

• True
• False

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

The reciprocal of sine is

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

• True
• False

sin 2100 is equal to -1/2

• True
• False

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

What is the quadrant of -1800?

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

Initial side of an angle is the one that rotates.

• True
• False

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

• True
• False

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

• True
• False

Hypotenuse is the longest side of a right triangle.

• True
• False

Which of the following is equal to tan x?

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

• 4
• 3
• 7
• 5

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

• True
• False

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

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

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

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

• True
• False

Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

Which of the following angle is in standard position?