College Geometry Questions

The unit circle below shows 125 and 125 Find the values below rounded to three decimal places if necessary 0 574 0 819 0 574 0 819 125 125 sin 125 I sin 125 sin 125

The unit circle below shows 135 and 135 Find the values below rounded to three decimal places if necessary 0 707 0 707 0 707 0 707 135 tan 135 tan 135 tan 135

The unit circle below shows 35 and 35 Find the values below rounded to three decimal places if necessary 35 35 0 819 0 574 0 819 0 574 Next cos 35 cos 35 cos 35

The point P 3 y lies on the unit circle shown below What is the value of y in simplest form P x y 1 0

A polynomial function f x with integer coefficients has a leading coefficient of 3 and a constant term of 4 According to the Rational Root Theorem which of the following are possible roots of f x 4 314 2 4

A polynomial function g x with integer coefficients has leading coefficient of 1 and a constant term of 18 According to the Rational Root Theorem which of the following are possible roots of g x 18 9 1 1

Complete the following derivation using the following selection of inference rules As you work on the problem think about which derived rules had to be included in order to make possible the patterns of inference embodied by the basic rules that were omitted Rules I EL VIR E I LI DNE Comm CommV DSR DeM MT HS Def I 1 2 n RV S T R S T K Premise Premise Goal

Complete the following derivation using the basic rules and the following selection of derived rules DNE DNI Comm CommV DeM DSL DSR MT Trans HS Def E and Def I 1 P Q S Premise 2 P Q S Premise 3 P Q PVQ Premise n S Goal

15 10

Factor the following polynomial expression completely x3 2x 9x 18 A x 3 x 3 x 2 B x 2 x 2 x 3 C x 3 x 3 x 2 D x 9 x 2

Classify each polynomial based on the the degree of the polynomial DRAG DROP THE ANSWER T 9 3 7y 12y 3y 17 X T 12r 6r 6 32 92 12 x 9 42 16 Quadratic Linear Cubic Constant

For each polynomial expression in the table below classify the expression as a difference of squares difference of cubes sum of cubes or none of these by placing a check mark in all appropriate boxes Expression a 2 2 y b 82 24y C x 1 Difference of Squares Difference of Cubes Sum of Cubes None of these B 5000

Factor the polynomial expression completely 8x 27 A 4x 3 4x 3 B 2x 3 4x 6x 9 2x 3 4x 6x 9 D 2x 3 4x 6x 9

Factor the polynomial expression completely 27x 125 A 3x 5 9x 25 B 3x 5 9x 15x 25 3x 5 9x 15x 25 D 3x 5 9x 15x 25

Factor completely 3x 48x

The graphs below represent functions defined by polynomials For which function are the zeros of the polynomials 2 and 3 1 2 X X 3 X X

Factor By Grouping 3n 12n 2n 8

a b Consider the expression 15n m 25n m Part A What is the GCF of the polynomial A 5 B 5nm c 5n m D 5n m Part B Factor

Solve the equation by factoring x 11x 30 A x 5 x 6 B x 5 x 6 C x 5 x 6 x 5 x 6 D X

Factor By Grouping 6n 10n 3n 5 3

Factor completely 3 y 6y 5y

Which of the following expressions are examples of either the sum or the difference of cubes Mark all that are an example of the sum of cubes OR the difference of cubes A b 5 b 56 25 B u 3 u 3u 9 d 6 d 12d 36 D h 4 h 2 4h 16 E a 10 a 10a 100 F x 11 x 11x 121

Select all of the statements that are true about the following expression 4x 3x A The polynomial is a cubic trinomial B The polynomial is not in standard form C The degree of the polynomial is 3 The leading coefficient is 4 E The polynomial has 3 terms The leading coefficient is 4 1

Factor the polynomial if possible If the polynomial cannot be factored write prime x 3x 4x 12

For which function defined by a polynomial are the zeros of the polynomial 4 and E Ay x 10x 24 By x 10x 24 y x 10x 24 y x 10x 24

7 Factoring 3bc 2b 10 15c by grouping results in b 5 3c 2 A True B False

Factor completely Note You will need to use more than one factoring method 4x 4x 24 A 4 x x 6 B 4 x 3 x 2 c 4 x 3 x 2 D 4x 12 x 2

For the polynomials in the first column determine the degree of each polynomial and tick the correct option Polynomial 884 686 8 12s 24s s s 25 584 8 78 586 28 6 3

Directions For the following polynomial factor out the GCF Greatest Common Factor then rewrite the new factored polynomial in the space provided 4x 8x 12x GCF Factored Polynomial

Completely factor this polynomial Do NOT use the space bar when typing your answers 3x 27x Factored Form

Factoring the following polynomial expression completely 2x x 8x 4

A can only display numerical da O A univariate OB list O C histogram O D bar graph

Which of the following is an example of discrete data OA The distance between two cities OB The number of siblings each student in a class has O C Weights of sumo wrestlers O D The length of a movie

Miss Rose teaches three ballet classes Her students data are shown in the relative frequency table Boys Girls Total Beginner 0 15 0 1 0 25 Which statement is true Intermediate 0 2 0 35 0 55 Advanced 0 05 0 15 0 2 OA 20 of her students are in the advanced class OB 40 of her students are girls C 20 of her students are in the intermediate class D 15 of her students are boys Total 0 4 0 6 1 0

Which of these pieces of data about a football team is considered numerical data O A Mascot representation OB Points scored O C Stadium type OD Jersey color

In a survey conducted at a pet store 150 customers were asked if they ownec birds or fish The survey data are shown in the relative frequency table Own fish Do not own fish Total Own a bird OA 6 OB 0 1 O C 10 OD 4 0 04 0 02 Do not own a bird 0 06 0 88 What percentage of the people surveyed own fish Total

Which of these frequency counts would be represented by the largest number of dots in a dot plot O A 25 OB 23 OC 26 OD 24

Fairview High School has an anime Japanes student can attend The relative frequency table shows the proportion of students in the high school who take Japanese and or are in the anime club In anime club Not in anime club Total Take Japanese A 75 OB About 94 O C 15 D 20 0 15 0 05 0 20 Do not take Japanese 0 01 0 79 0 80 Total 0 16 0 84 1 0 Given that a student is in the anime club what is the likelihood that he or she takes Japanese

A teacher asks her students to fill out a survey about themselves Which piece of data would be considered categorical data O A Age O OC Eye color B Height D Number of siblings

A company conducted a survey to see whether its new toothpaste was more popular with children or adults Of the adults surveyed about 11 use the toothpaste Compare this with the percentage of children who use the toothpaste Children Adults Total Select the true statement Use toothpaste 0 07 0 08 0 15 Do not use toothpaste 0 18 0 67 0 85 Total 0 25 0 75 1 0 O A A greater percentage of children 28 use the toothpaste OB A smaller percentage of children 7 use the toothpaste OC A greater percentage of children 46 use the toothpaste O D A smaller percentage of children 8 use the toothpaste

If the data below were represented with a stem and leaf plot a stem of 2 would have how many leaves 17 22 53 74 42 26 93 15 67 29 50 OA 2 OB 3 OC 5 OD 4

The table below shows data for stuffed animals sold at a zoo gift shop If the data were represented with a comparative dot plot which animal would have more dots for month 2 than month 1 Giraffe Elephant Tiger Rhino Lion A Rhino B Lion C Tiger D Elephant Month 1 18 21 20 15 12 Month 2 15 16 19 18 11

Find the perimeter of the triangle Recall that the perimeter of a figure is the distance around a figure The perimeter is Type a whole number or a simplified fraction 18 inch 18 inch 18 inch

Direct processes that secure domination and the privileges associated with it

Use a calculator to evaluate each expression to the nearest tenth of a degree 39 sin 0 1702 40 sin 0 1702 41 cos 0 8425

UT 5 6 O 7 9 10 11 12 13 men completing the square you will need to undo a squared term at some point How is is accomplished subtract the number under the radical from both sides squaring both sides take the square root of both sides 15 it cannot be done Your answer is already simplified as much as possible FRE Clanl

Given AB BC AB BC Prove mABmBC 1 B 0 0 Statements 1 AB I BC BC 2 MAB MBC d 0 1 0 e 1 0 A 1 d C 1 e 1 1 d 3 draw the vertical line segment AC 4 ZABC is a right angle 5 AABC is a right triangle X Reasons given application of the slope construction definition of perpendicula definition of a right triang

Compare and contrast how the Sandy River s active channel width and floodplain width changes as you travel downstream from the Sediment Source Reach to the start of the Response Reach The Sediment Source Reach is the area that is the source of the sediment I e the upstream location In the image below the water is running from the top of the image down to the bottom of the image So the Sediment Source Reach is the area at the top of the image and the Response Reach is the downstream location located at the bottom of the image The diagram below shows what the active channel and floodplain looks like channel cutoff natural levee bedrock bar swale topography point bar incipient oxbow alluvium floodplain Ameander scars yazoo stream oxbow lake

A county clerk was supposed to use randomness to assign the order in which candidates names appeared on voting ballots Among 49 different ballots Democratic candidate names were placed on the first line 43 times The probability of a result that high is 0 000000028639 Assuming randomness was used is the result of 43 Democratic candidate names being placed on the first line significantly low significantly high or neither The probability of a result of 43 which is 0 000000028639 is 0 05 The result is 43 49 what is expected with randomness The result of 43 is

Bessel s Correction N 1 Friedrich Bessel discovered that when we use n in the denominator of the variance calculation for a sample the sample variance tends to underestimate the population variance Since many times we do not know the true population variance Bessel s correction for a point estimate of the population variance is very useful