Is the expression $$8 - 6x + x^2$$ in standard form?

No, it is not in standard form because the terms are not ordered by degree.

Is the expression $$8 - 6x + x^2$$ equivalent to $$(x - 4)(x - 2)$$ ?

No, it is not equivalent because the expressions simplify to different polynomials.

Explain why $$3x^2$$ can be said to be in both standard form and factored form.

Because it can be written as a product of its factors.

Two rocks are launched straight up in the air. The height of rock A is given by the function $$f(t) = 4 + 30t - 16t^2$$ . The height of rock B is given by function $$g(t) = 5 + 20t - 16t^2$$ . Which rock reaches its maximum height first?

Rock A reaches its maximum height first.

Identify the x-intercepts and the y-intercept of each graph for Function f: $$x^2 + 4x + 3$$ and $$(x + 3)(x + 1)$$ . x-intercepts: _____, y-intercept: _____

x-intercepts: -3, -1; y-intercept: 3

Expression: $$(x - 9)(x - 1)$$ . Predict the x-intercepts and the y-intercept of the graph.

x-intercepts: 9 and 1; y-intercept: 9

How can you determine, without graphing, whether the x-intercepts of $$y = (x - 1)(x + 6)$$ are at $$(1, 0)$$ and $$(-6, 0)$$ ?

By finding the roots of the equation

Write the quadratic expression $$(x - 3)(x - 6)$$ in standard form.

The standard form of the quadratic expression is $$x^2 - 9x + 18$$ .

Which action should be taken to compare two graphs from tables on the same coordinate plane?

Plot the points using different colors or markings for each set of points.

Predict the x-intercepts and the x-coordinate of the vertex of the function: f(x) = (x + 3)(x - 5).

The x-intercepts are x = -3 and x = 5, and the x-coordinate of the vertex is x = 1.

Predict the x-intercepts and the x-coordinate of the vertex of the function g(x) = 2x(x - 3).

The x-intercepts are 0 and 3, and the x-coordinate of the vertex is 1.5.

Predict the x-intercepts and the x-coordinate of the vertex of the function h(x) = (x + 4)(4 - x).

The x-intercepts are -4 and 4, and the x-coordinate of the vertex is 0.

Does the graph of the quadratic function f(x) = $$x^2 + 2x + 6$$ have any x-intercepts?

No, the graph does not have x-intercepts.

Graph of the equation $$y = (x - 2)(x - 4)$$

A parabola opening upwards with x-intercepts at x=2 and x=4

Is $$(s + t)^2$$ equivalent to $$s^2 + 2st + t^2$$ ?

Yes, $$(s + t)^2$$ is equivalent to $$s^2 + 2st + t^2$$ .

Unit 7 Lesson 7 Practice Problems Flashcards

Student preview

32 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What was Tyler’s mistake in expanding ((x + 5)(2x + 3))?

Back

He forgot to distribute the terms correctly.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

The question asks for the expected number of concert tickets sold and the expected revenues based on the ticket price.

4.

FLASHCARD QUESTION

Front

In this model, at what ticket prices will the band earn no revenue at all?

Back

$0

5.

FLASHCARD QUESTION

Front

At what price should the band sell the tickets if it must earn at least 8,000 dollars in revenue to break even (to not lose money) on a given concert? Options: $10 per ticket, $20 per ticket, $25 per ticket, $30 per ticket

Back

$25 per ticket

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Newton's Laws of Motion

Flashcard

•

8th Grade

25 questions

2024 STAAR Review Flashcards

Flashcard

•

9th - 12th Grade

25 questions

Sewing Terminology Flashcards

Flashcard

•

9th Grade

23 questions

Scatterplots & Trend Lines

Flashcard

•

8th Grade

25 questions

3. Hardware - Input & Output Devices: Computer Science CIE IGCSE

Flashcard

•

10th Grade

28 questions

Speed, Velocity, and Acceleration Concepts

Flashcard

•

8th Grade

20 questions

Scientific Notation Test

Flashcard

•

7th - 9th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

18 questions

SAT Prep: Ratios, Proportions, & Percents

Quiz

•

9th - 10th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

15 questions

Combine Like Terms and Distributive Property

Quiz

•

8th - 9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

10 questions

Elijah McCoy: Innovations and Impact in Black History

Interactive video

•

6th - 10th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade