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Geometry and Algebra Concepts Assessment

Geometry and Algebra Concepts Assessment

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers various mathematical concepts, including classifying graphs based on equation features, writing and selecting parabola equations, comparing parabolas, calculating vertices, creating perfect square trinomials, factoring expressions, and calculating the volume of solids formed by rotating two-dimensional figures.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following equations represents a circle?

x^2 + 2x + 1

e^x

x^2 + y^2 = r^2

y = mx + b

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

What is the equation of a parabola with a focus at (4, 1) and a directrix of y = 0?

y^2 = (x - 4)^2 + (y - 1)^2

y^2 = (x - 4)^2 + (y - 1)^2

y = (x - 4)^2 + (y - 1)^2

y^2 = (x - 4)^2 + (y - 1)^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation describes a parabola with a focus at (-1, 7) and a directrix of y = 3?

x + 1 = y - 3

(x + 1)^2 = (y - 3)^2

(x + 1)^2 = (y + 7)^2

(x - 1)^2 = (y - 3)^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If parabola A has a focus at (3, 2) and parabola B has a focus at (5, 4), which is wider?

Parabola A

Parabola B

Both are the same width

Cannot be determined

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the vertex of a parabola with a focus at (5, 1) and a directrix of y = -3?

(5, -2)

(5, -1)

(5, 0)

(5, 2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

To make the expression a perfect square trinomial, what value should be added to x^2 + 7x + ___?

12.25

14.5

10.5

9.25

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of the factors of the expression x^2 + 3x?

x(x - 3)

(x + 3)(x - 1)

(x + 1)(x + 2)

x(x + 3)

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