Teaching Math in the Intermediate Grades

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

• 1/2
• -1
• 2
• (-1)/2

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

• True
• False

Base is where the exponent affixes

• True
• False

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

The reciprocal of sine is

-3000 is equal to _____ radians.

• (-5π)/3
• (-4π)/3
• π/4
• (-3π)/2

The following degree measurements are found in Quadrant I, except

Identify √5 as irrational or rational.

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

• True
• False

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

• True
• False

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

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

The trigonometric function of the ratio 7/25 is

Convert 9000 to radian measure.

• 5π
• -5π
• 2π
• 4π

What is the ratio of sin β?

Solve: 2 csc x(3 – 2csc x + csc2 x)

The parts of the right triangle are

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

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

• True
• False

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

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

• Rational Numbers

A rational function is the product of two polynomials.

The following are all coterminal of 1350, except

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

• 6
• 5
• 7
• 1

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

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

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

• True
• False

The ratio for cosecant is

The following are coterminal of 900, except

• -2700
• 2700
• -6300
• 4500

Using the triangle below, which is the hypotenuse?

Hypotenuse is the longest side of a right triangle.

• True
• False

The Greek name for σ is rho.

• True
• False

Identify ¾ as irrational or rational.

Express the sum and difference of cos 300.

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

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

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

• 3
• 6
• -4
• 12

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 remainder when you divide x3 - 1 to x - 1?

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

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

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

• 5
• 9
• 1
• 3

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

Simplify sin x sec x/tanx .

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 unknown measurement of the side of the triangle below is

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

• Integers

Is csc2 θ = 1 – cot2 θ?

• True
• False

Radian uses the symbol π .

• True
• False

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

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

Simplify: log 7 49 = x – 4.

The answer: for -73 = ___ is?

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

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

Which of the following angle is in standard position?

What is the exponential function of the table below?

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

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

• True
• False

The exponential form of log b d2 = e is

The following are all exponential function except

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

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

• + x4
• +10
• -3x7
• -6x5

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

• 9
• 54
• -36
• -27

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 -2100, can be found?

The following are all exponential functions, except

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

• True
• False

Convert 34 = d in logarithmic form.

The following are in standard position, except

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

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

• True
• False

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

What is the length of side y?

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

• 4
• 3
• 7
• 5

π radian is equivalent to 1800

• True
• False

- 3π/4 is equal to how many degrees?

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

• True
• False

1.7 is a rational number

• True
• False

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

• -2
• 7
• -6
• 10

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

Which of the following is the symbol for eta?

• ε
• β
• θ
• H

Zero and positive integers are the __________.

• Whole Numbers

In what quadrant does 5π/9 belong?

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.

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

A rational function is the quotient of two polynomials

• True
• False

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

• 2x = -4
• x = - 2
• x = 2
• x = -4

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 value of x is ____.

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

• Less Effective Instructional Decisions

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

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

• True
• False

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

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

• True
• False

The Pythagorean Theorem was formulated by Pythagoras of Italy.

• True
• False

Solve for y

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

• True
• False

A counterclockwise direction makes a negative degree measurement.

• True
• False

What is (-3π)/11 in degree measures?

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

What is the quadrant of -1800?

The reciprocal of tangent

• secant
• cosecant
• cosine
• cotangent

Is tanθ/cotθ = 1?

• True
• False

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

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

• True
• False

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

• True
• False

The unit circle is similar with coordinate plane.

• True
• False

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

• True
• False

A polynomial function is defined as the sum of monomials.

• True
• False

Evaluate cos(900 + 900)

The reciprocal of cosine is sine.

• True
• False

What is the reference angle of 1600?

What is the value of x?

• 12.35
• 11.67
• 13.78
• 10.2

All angles has a reference angle of 300, except

sin 2100 is equal to -1/2

• True
• False

The following may be seen in a right triangle, EXCEPT

Which of the following is coterminal of 900?

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

• True
• False

Which of the following polynomials has 3 terms?

Convert -3150 to radian measure.

When do graph of exponential function goes down?

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

• True
• False

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

• True
• False

The value of the unknown side is ____.

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

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

The following angles belong to quadrant IV, except

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

What is the function to be use to solve x?

Which of the following is considered as an exponential function?

What is the coterminal of -700 ?

36250 can be found at quadrant?

The name of the Greek letter ξ is _______.

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

• cosine
• tangent
• sine
• secant

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

10000 belong to what quadrant?

What is the value of cos – 300?

– 3120 can be found at Quadrant IV.

• 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

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

The following are equal to 1, except

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:

Subtract:

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

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 graph of the cosine functions always passes through the origin

• True
• False

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

• True
• False

Oblique triangles are solved using the Pythagorean Theorem.

• True
• False

The maximum point is the highest point a graph reach.

• True
• False

What is the coterminal of 00?

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

• Natural Numbers

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

• 1
• √3/2
• √3/4
• 1/2

cos θ is equal to 1/sec⁡θ .

• True
• False

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

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

• True
• False

The following measurements can be found in Quadrant III, except

• -2400
• 120
• (-2π)/3
• (-5π)/6

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

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

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

• 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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K is the capital letter for kappa.

• True
• False

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

The following are the fundamental identities except

In what quadrant do -1000 lies?

Initial side of an angle is the one that rotates.

• True
• False

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

• True
• False

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

cosine 900 is equal to 1.

• True
• False

(-3π)/2 belongs to quadrant?

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

- 4π/3 is equivalent

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

1800 is equivalent to p radians.

• True
• False

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

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

• True
• False

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

Convert 53 = y to logarithmic form.

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

Identify √2 as s irrational or rational.

The value of sin 300 is

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

• True
• False

A clockwise direction is a positive measurement.

• True
• False

Which of the following is the cofunction of secant?

• cosecant
• cotangent
• cosine
• tangent

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

• True
• False

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

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

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

• True
• False

The graph below shows

The ratio for cosine is

Simplify: log 3 92x = x + 12

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

• True
• False

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

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π is equivalent to 1800.

• True
• False

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

• True
• False

The ratio of cot θ is ____.

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

Coterminal angles are the same degrees.

Given the triangle below, the legs are

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

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

cosine – 600 is equal to - √3/2.

• True
• False

Which of the following is the ordered pair for 3600?

2π is equals to 3600.

• True
• False

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

• f/g
• g/e
• g/f
• f/e

What is the equivalent of -3.5π in degrees?

• 6800
• 5800
• 6300
• 6500

Which of the following is equal to tan x?

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

• Irrational Numbers

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

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Degree is a unit measure for angles.

• True
• False

Is sin2θ cos2θ = 1?

• True
• False

The cofunction of cosecant is cosine.

All angles belongs to Quadrant III, which is not

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

The cofunction of cotangent is tangent.

• True
• False

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

What is the trigonometric function with a ratio adjacent/opposite

• cosecant
• cosine
• tangent
• cotangent

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?

-900 is equivalent to - π/2 radians.

• True
• False

What is the cofunction of cotangent?

• tangent
• sine
• cosine
• secant

A polynomial function is defined as the product of monomials.

• True
• False

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

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

• -26/9
• -58/12
• -29/6
• -15/4

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

• True
• False

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

• True
• False

The reference angle of the given figure below is:

• 1180
• 620
• 280
• 1520

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

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

The symbol i is called ________.

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

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

What is the exponential form of log 12 d = k

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

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

• True
• False

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

• True
• False