Advanced Algebra and Functions

Advanced Algebra and Functions

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the surface area of a right rectangular prism?

Back

Surface Area = 2(lw + lh + wh), where l = length, w = width, h = height.

2.

FLASHCARD QUESTION

Front

Calculate the surface area of a right rectangular prism with length 4 cm, width 9 cm, and height 3 cm.

Back

Surface Area = 2(4*9 + 4*3 + 9*3) = 2(36 + 12 + 27) = 2(75) = 150 cm².

3.

FLASHCARD QUESTION

Front

What is the process to factor the expression 3x² + 6x - 24?

Back

Factor out the greatest common factor (3): 3(x² + 2x - 8). Then factor the quadratic: 3(x + 4)(x - 2).

4.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function when the leading coefficient is positive and the degree is odd?

Back

The graph will rise to the right and fall to the left.

5.

FLASHCARD QUESTION

Front

What is the value of f(x + 2) if f(x) = x² + 3x + 1?

Back

f(x + 2) = (x + 2)² + 3(x + 2) + 1 = x² + 4x + 4 + 3x + 6 + 1 = x² + 7x + 11.

6.

FLASHCARD QUESTION

Front

What is exponential growth in the context of population dynamics?

Back

Exponential growth occurs when the growth rate of a population is proportional to its current size, leading to rapid increases.

7.

FLASHCARD QUESTION

Front

If a population doubles every 4 hours, what is the growth factor for each hour?

Back

The growth factor for each hour is the 4th root of 2, approximately 1.1892.

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