1. What is the first step to solve the inequality X^2+4x-12>0

Question

A. Test several possible values of x to see wherex^2+4x−12is positive and where it is negative.
B. Factor the quadratic expression on the left side of the quadratic inequality.
C. Change the sign of the inequality.
D. Isolate the x-terms.
2. Solve the quadratic inequality(x−2)(x−4)>0
A. x<2
B. x>4
C. 2<x<4
D. 2<x<4
3. Solve for x in the quadratic inequality x^2+9x+18<0.
A. x<−6 and x>−3
B. x<−6 or x>−3
C. x>−6
D. −6<x<−3
4. Solve for x. x^2−81>0
A. x<−9 or x>9
B. x<−9
C. −9<x<9
D. x>9
5. A rectangular pen for a pet is 8 feet longer than it is wide. Give possible values for the width, W, of the pen if its area must be greater than 209 square feet.
A. The width of the pen must be greater than 11 feet.
B. The width of the pen must range from 11 feet to 19 feet, inclusive.
C. The width of the pen must be greater than 19 feet.
D. The width of the pen must be less than −19 feet.

Answer 1

1. B. Factor the quadratic expression on the left side of the quadratic inequality.
2. D. 2<x<4
3. A. x<−6 and x>−3
4. A. x<−9 or x>9
5. A. The width of the pen must be greater than 11 feet.

Answer 2

1. Which choice best explains the reason for the use of graphics to aid comprehension when writing informative or explanatory texts?
A. Graphics can be used when a reader has likely encountered the topic of a text before.
B. Graphics can be used when information is difficult to express in words.
C. Graphics can be used when the information in a text is likely to interest the reader.
D. Graphics can be used when it would be hard to use audio or video to provide the information.
2. Which of the following is an example of an objective tone in explanatory writing?
A. a personal, firsthand account of one traveler’s visit to Yellowstone National Park
B. a blog recounting how one writer’s time in Yellowstone National Park made for a transformative experience
C. a persuasive text that asks readers to donate funds to support the wolf population in Yellowstone National Park
D. a neutral and factual text informing readers about the role of the wolf population in Yellowstone National Park
3. Which of these are characteristics of a formal style when writing an explanatory text? Select the three correct answers.(2 points)
A. Slang
B. Contractions
C. personal pronouns
D. advanced vocabulary
E. standard textbook English
F. complex syntax

Answer 3

1. B. Graphics can be used when information is difficult to express in words.
2. D. a neutral and factual text informing readers about the role of the wolf population in Yellowstone National Park
3. D. advanced vocabulary, E. standard textbook English, F. complex syntax

Answer 4

1. Drag each phrase or sentence to the correct location to show whether it is vague or precise.(2 points)
Vague
precise.
We almost purchased a vacation-style home last year
He limped the entire way home
I put butter on the toast
two rivers meet in a town

Answer 5

Vague:
- We almost purchased a vacation-style home last year
- I put butter on the toast

Precise:
- He limped the entire way home
- Two rivers meet in a town