Teaching Math in the Intermediate Grades

Convert 53 = y to logarithmic form.

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

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

• True
• False

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

• True
• False

Using the triangle below, which is the hypotenuse?

The value of the unknown side is ____.

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

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

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

• True
• False

The following are all exponential functions, except

The exponential form of log b d2 = e is

The graph below shows

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

• True
• False

In what quadrant does 5π/9 belong?

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

- 3π/4 is equal to how many degrees?

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

Express the sum and difference of cos 300.

The following are all coterminal of 1350, except

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

• True
• False

What is the exponential form of log 12 d = k

Which of the following is the ordered pair for 3600?

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

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

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

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

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

• 1
• √3/2
• √3/4
• 1/2

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

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

Identify ¾ as irrational or rational.

What is the quadrant of -1800?

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

• cosine
• tangent
• sine
• secant

Which of the following polynomials has 3 terms?

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

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

• -26/9
• -58/12
• -29/6
• -15/4

The unknown measurement of the side of the triangle below is

What is the ratio of sin β?

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

Given the triangle below, the legs are

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

A polynomial function is defined as the sum of monomials.

• True
• False

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

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

• True
• False

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

What is the value of cos – 300?

In what quadrant do -1000 lies?

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

Solve for y

The name of the Greek letter ξ is _______.

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

Initial side of an angle is the one that rotates.

• True
• False

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

• True
• False

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

• 4
• 3
• 7
• 5

cosine 900 is equal to 1.

• True
• False

The following are the fundamental identities except

Convert 34 = d in logarithmic form.

Is sin2θ cos2θ = 1?

• 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

A rational function is the product of two polynomials.

The cofunction of cotangent is tangent.

• True
• False

Which of the following is equal to tan x?

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

The following are in standard position, except

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

• True
• False

All angles belongs to Quadrant III, which is not

A polynomial function is defined as the product of monomials.

• True
• False

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

What is the coterminal of 00?

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

• True
• False

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

• True
• False

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

• True
• False

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

• True
• False

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

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

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

What is the function to be use to solve x?

The symbol i is called ________.

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

• True
• False

The following angles belong to quadrant IV, except

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

The trigonometric function of the ratio 7/25 is

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

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

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

• 3
• 6
• -4
• 12

1800 is equivalent to p radians.

• True
• False

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

• True
• False

The reciprocal of sine is

Identify √5 as irrational or rational.

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

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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Identify √2 as s irrational or rational.

If sin α= 2/7, then cos α = 7/2.

• 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?

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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π radian is equivalent to 1800

• True
• False

Simplify: log 3 92x = x + 12

The sin value of 1800 is

The following are equal to 1, except

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

• Natural Numbers

The ratio of cot θ is ____.

What is the length of side y?

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

• Rational Numbers

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

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

• 9
• 54
• -36
• -27

The exponential function of the graph below is:

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

• True
• False

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

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

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

• True
• False

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

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

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

A counterclockwise direction makes a negative degree measurement.

• True
• False

Hypotenuse is the longest side of a right triangle.

• True
• False

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

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

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

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

The Greek name for σ is rho.

• True
• False

10000 belong to what quadrant?

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

The parts of the right triangle are

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

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

• True
• False

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

• 5
• 9
• 1
• 3

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?

Which of the following is coterminal of 900?

cosine – 600 is equal to - √3/2.

• True
• False

The value of x is ____.

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

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

The value of sin 300 is

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

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

Convert -3150 to radian measure.

The answer: for -73 = ___ is?

The ratio for cosine is

Which of the following is considered as an exponential function?

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

• f/g
• g/e
• g/f
• f/e

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

• True
• False

(-3π)/2 belongs to quadrant?

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

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

• True
• False

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

• True
• False

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

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

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

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

• 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

The unit circle is similar with coordinate plane.

• True
• False

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

• Integers

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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What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

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

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

Subtract:

sin 2100 is equal to -1/2

• True
• False

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

• True
• False

The ratio for cosecant is

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

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

• True
• False

A rational function is the quotient of two polynomials

• True
• False

Coterminal angles are the same degrees.

In what quadrant does -2100, can be found?

Degree is a unit measure for angles.

• True
• False

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

• True
• False

Simplify sin x sec x/tanx .

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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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.

Base is where the exponent affixes

• True
• False

π is equivalent to 1800.

• True
• False

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

• True
• False

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

The cofunction of cosecant is cosine.

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

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

• True
• False

Is tanθ/cotθ = 1?

• True
• False

2π is equals to 3600.

• True
• False

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

What is the exponential function of the table below?

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

– 3120 can be found at Quadrant IV.

• True
• False

Is csc2 θ = 1 – cot2 θ?

• True
• False

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

When do graph of exponential function goes down?

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

• 1/2
• -1
• 2
• (-1)/2

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

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

-900 is equivalent to - π/2 radians.

• True
• False

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

Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

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

• 6
• 5
• 7
• 1

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

• True
• False

All angles has a reference angle of 300, except

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

36250 can be found at quadrant?

Zero and positive integers are the __________.

• Whole Numbers

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

• Irrational Numbers

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

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

• True
• False

The reciprocal of cosine is sine.

• 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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Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

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

• -2
• 7
• -6
• 10

The following are all exponential function except

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

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 (-3π)/11 in degree measures?

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

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

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

• True
• False

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

Solve: 2 csc x(3 – 2csc x + csc2 x)

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

• True
• False

The maximum point is the highest point a graph reach.

• 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

The following may be seen in a right triangle, EXCEPT

Which of the following angle is in standard position?

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

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Simplify: log 7 49 = x – 4.

Evaluate cos(900 + 900)

cos θ is equal to 1/sec⁡θ .

• True
• False

What is the coterminal of -700 ?

The graph of the cosine functions always passes through the origin

• 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?

Radian uses the symbol π .

• True
• False

- 4π/3 is equivalent

What is the reference angle of 1600?

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

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

• 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

K is the capital letter for kappa.

• True
• False

A clockwise direction is a positive measurement.

• True
• False

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

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

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

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