Brad, Lance, Allen, and John are all brothers. They are measuring and comparing their heights. They have found that Lance is exactly 1 foot taller than Brad and John is exactly 1 foot taller than Allen. They also found that the product of Brad's and Lance's heights is equal to Allen's height and if they subtract 1 foot from both Brad's and Lance's height, the product is equal to John's height. Create a system of equations to model the situation above, and use it to determine if there are any solutions. If there are any solutions, determine if they are viable or not.

B. There is only 1 solution, and it is not viable.

A. There are 2 solutions, and only 1 is viable.

C. There is only 1 solution, and it is viable.

Marie is cleaning her clothes out of the closet in her spare bedroom. She started with 650 of her items in the closet. She has been able to continually decrease the number of her items in the closet at a rate of one-half per month. Her brother, Dustin, has started putting 5 items of his clothing in the closet each month as Marie cleans it out. Marie wants to know how many months it will take before the number of items Dustin adds will be equal to the number of her items in the closet. Create a system of equations to model the situation above, and use it to determine if there are any solutions. If there are any solutions, determine if they are viable or not.

A. There is only one solution, and it is viable.

C. There are two solutions, and only one is viable.

D. There is only one solution, and it is not viable.

Landry is opening two savings accounts. He is opening the first account with an initial deposit of $500. The account will compound continuously each year at a rate of 3%. He is opening the second account with an initial deposit of $300. The account will compound continuously each year at a rate of 5%. Landry would like to know how long it will take for the balance of the two accounts to be equal. Create a system of equations to model the situation above, and use it to determine if there are any solutions. If there are any solutions, determine if they are viable or not.

D. There is only one solution and it is viable.

B. There are two solutions and both are viable.

C. There is only one solution and it is not viable.

Which statement about the end behavior of the logarithmic function f ( x ) = log( x + 3) – 2 is true?

A. As x decreases, y moves toward the vertical asymptote at x = -3.

B. As x decreases, y moves toward the vertical asymptote at x = -1.

C. As x increases, y moves toward negative infinity.

D. As x decreases, y moves toward positive infinity.

Algebra 2 Part A Review

Authored by Barbara White

Mathematics

11th Grade

CCSS covered

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36 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following expressions represents the verbal description below?
the product of x and the sum of 6 and 8 times the square of x

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

B. The expression $\pi\left(x+1\right)^2$ represents the radius of the soap dispenser.

C. The factor 4x + 1 represents the height of the soap dispenser.

D. The factor 4x + 1 represents the area of the base of the soap dispenser.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A. The constant 250 represents the average amount a cab driver collects on a particular day when no senior citizens travel by the company's cabs.

B. The constant 250 represents the maximum amount a cab driver collects on a particular day when x senior citizens travel by the company's cabs.

C. The constant 250 represents the number of senior citizens who travel by the company's cabs.

D. The constant 250 represents the average amount the company pays a cab driver on a particular day.

Tags

CCSS.HSA-SSE.A.1A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A. 4th degree polynomial with 5 terms

B. 3rd degree polynomial with 5 terms

C. 4th degree polynomial with 4 terms

D. 3rd degree polynomial with 4 terms

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.C.4

FILL IN THE BLANK QUESTION

1 min • 1 pt

Find the sum of a finite geometric series.
The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three triangles are inscribed in the first triangle. The sum of the perimeters of all four triangles is_____ inches.

Tags

CCSS.HSA.SSE.B.4

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Algebra 2 Part A Review

Which of the following expressions represents the verbal description below?
the product of x and the sum of 6 and 8 times the square of x

Find the sum of the first seven terms of the sequence 4, 12, 36, 108, … .

Write (9 + 6i) − (1 + 3i) as a complex number in standard form.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Algebra 2 Part A Review

Which of the following expressions represents the verbal description below?the product of x and the sum of 6 and 8 times the square of x

Find the sum of the first seven terms of the sequence 4, 12, 36, 108, … .

Write (9 + 6i) − (1 + 3i) as a complex number in standard form.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Which of the following expressions represents the verbal description below?
the product of x and the sum of 6 and 8 times the square of x