Teaching Math in the Intermediate Grades

The value of sin 300 is

cosine – 600 is equal to - √3/2.

• True
• False

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

• True
• False

The unknown measurement of the side of the triangle below is

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

What is the logarithmic form of dr = ba ?

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

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

• True
• False

- 4π/3 is equivalent

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

• True
• False

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

Identify √2 as s irrational or rational.

Radian uses the symbol π .

• True
• False

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

Convert 53 = y to logarithmic form.

Hypotenuse is the longest side of a right triangle.

• True
• False

The ratio for cosine is

The value of x is ____.

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

• True
• False

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

• True
• False

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

36250 can be found at quadrant?

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

The parts of the right triangle are

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

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

• True
• False

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

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

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

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

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

• True
• False

Convert -3150 to radian measure.

Which of the following is equal to tan x?

In what quadrant do -1000 lies?

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 following may be seen in a right triangle, EXCEPT

sin 2100 is equal to -1/2

• True
• False

The following are the fundamental identities except

What is the coterminal of 00?

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

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

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

• True
• False

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

Simplify sin x sec x/tanx .

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

Zero and positive integers are the __________.

• Whole Numbers

What is the exponential form of log 12 d = k

What is the function to be use to solve x?

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

The following are in standard position, except

All angles has a reference angle of 300, except

10000 belong to what quadrant?

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

• True
• False

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

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

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

• True
• False

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

• cosine
• tangent
• sine
• secant

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

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

Express the sum and difference of cos 300.

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

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

• Integers

Base is where the exponent affixes

• True
• False

Initial side of an angle is the one that rotates.

• True
• False

What is (-3π)/11 in degree measures?

The symbol i is called ________.

The unit circle is similar with coordinate plane.

• True
• False

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

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

• + x4
• +10
• -3x7
• -6x5

Convert 34 = d in logarithmic form.

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

• 6
• 5
• 7
• 1

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 coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

A polynomial function is defined as the product of monomials.

• True
• False

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

• True
• False

The following are equal to 1, except

Simplify: log 7 49 = x – 4.

All angles belongs to Quadrant III, which is not

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

• 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?

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

• 9
• 54
• -36
• -27

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

• f/g
• g/e
• g/f
• f/e

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 answer: for -73 = ___ is?

The ratio for cosecant is

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

• True
• False

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

A clockwise direction is a positive measurement.

• True
• False

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

• True
• False

A polynomial function is defined as the sum of monomials.

• True
• False

In what quadrant does 5π/9 belong?

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

- 3π/4 is equal to how many degrees?

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

• True
• False

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

1800 is equivalent to p radians.

• True
• False

Which of the following is the ordered pair for 3600?

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

(-3π)/2 belongs to quadrant?

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

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

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

• Rational Numbers

The exponential function of the graph below is:

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

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

The graph of the cosine functions always passes through the origin

• True
• False

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

• True
• False

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

• 1
• √3/2
• √3/4
• 1/2

A rational function is the quotient of two polynomials

• True
• False

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

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 following are all coterminal of 1350, except

Solve for y

-900 is equivalent to - π/2 radians.

• True
• False

The following are all exponential functions, except

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

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

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

• -2
• 7
• -6
• 10

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

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

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

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

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

Is csc2 θ = 1 – cot2 θ?

• True
• False

The name of the Greek letter ξ is _______.

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

cos θ is equal to 1/sec⁡θ .

• True
• False

What is the length of side y?

The reciprocal of sine is

Given the triangle below, the legs are

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

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

Is tanθ/cotθ = 1?

• True
• False

Subtract:

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

The following degree measurements are found in Quadrant I, except

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

• True
• False

Identify ¾ as irrational or rational.

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

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

• 1/2
• -1
• 2
• (-1)/2

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

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

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

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

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

Which of the following polynomials has 3 terms?

What is the reference angle of 1600?

π is equivalent to 1800.

• True
• False

Identify √5 as irrational or rational.

What is the ratio of sin β?

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

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

The following are all exponential function except

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

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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If sin α= 2/7, then cos α = 7/2.

• True
• False

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

• 3
• 6
• -4
• 12

Using the triangle below, which is the hypotenuse?

A counterclockwise direction makes a negative degree measurement.

• True
• False

What is the coterminal of -700 ?

What is the value of cos – 300?

The maximum point is the highest point a graph reach.

• True
• False

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

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Simplify: log 3 92x = x + 12

The value of the unknown side is ____.

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

• True
• False

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

• True
• False

Which of the following is coterminal of 900?

The ratio of cot θ is ____.

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

The cofunction of cosecant is cosine.

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

• True
• False

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

• True
• False

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

• 5
• 9
• 1
• 3

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

• True
• False

In what quadrant does -2100, can be found?

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

• True
• False

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

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

• True
• False

π radian is equivalent to 1800

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

• True
• False

The trigonometric function of the ratio 7/25 is

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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What is the exponential function of the table below?

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

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

Which of the following is considered as an exponential function?

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?

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

• -26/9
• -58/12
• -29/6
• -15/4

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

• Natural Numbers

Solve: 2 csc x(3 – 2csc x + csc2 x)

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

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

Coterminal angles are the same degrees.

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

• True
• False

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

The reciprocal of cosine is sine.

• True
• False

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

Degree is a unit measure for angles.

• True
• False

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

• True
• False

The sin value of 1800 is

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

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

1.7 is a rational number

• True
• False

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

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

A rational function is the product of two polynomials.

The exponential form of log b d2 = e is

Which of the following angle is in standard position?

2π is equals to 3600.

• True
• False

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

– 3120 can be found at Quadrant IV.

• 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?

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

• True
• False

The cofunction of cotangent is tangent.

• True
• False

Is sin2θ cos2θ = 1?

• True
• False

The Greek name for σ is rho.

• True
• False

When do graph of exponential function goes down?

Evaluate cos(900 + 900)

Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

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

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

• Irrational Numbers

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

• True
• False

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

• True
• False

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

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

• True
• False

K is the capital letter for kappa.

• True
• False

The following angles belong to quadrant IV, except

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

• True
• False

cosine 900 is equal to 1.

• True
• False

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

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

• 4
• 3
• 7
• 5

What is the quadrant of -1800?