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

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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

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