Algebra 2 Course Test (problems: 1 - 20)

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Problem 1

Raymond has a square garden in front his house. The length of each side of the garden is a feet. There is a sidewalk of uniform width 1.5 feet around the garden. If he plans to build a fence around the outside of the sidewalk, what is the total length of the fence?

A. 3a

Incorrect
B. 4a

Incorrect
C. 3a + 3

Incorrect
D. 4a + 12

Correct

Problem 2

Which of the following graphs is the solution of the inequality

A.

Incorrect
B.

Incorrect
C.

Incorrect
D.

Correct

Problem 3

Jackson is traveling in a straight line away from his home in a car. He is 80 miles away from home at 7:00 A.M., and 340 miles away from home at 11:00 A.M. What is his average speed?

A. 50 mi/hr

Incorrect
B. 55 mi/hr

Incorrect
C. 60 mi/hr

Incorrect
D. 65 mi/hr

Correct

Problem 4

What is the solution of the equation x² + x = 1?

A.

Incorrect
B.

Incorrect
C.

Incorrect
D.

Correct

Problem 5

What is the simplest form of the expression (–2i)(–3i)(7i)(2i)?

A. –84

Incorrect
B. 79

Incorrect
C. 83

Incorrect
D. 84

Correct

Problem 6

Which of the following graphs shows a line whose x–intercept is 3 and y–intercept is –5?

A.

Incorrect
B.

Correct
C.

Incorrect
D.

Incorrect

Problem 7

What is the factored form of the polynomial 25t²– 16?

A. (5t + 4)(5t – 4)

Correct
B. (5t – 4)(5t – 4)

Incorrect
C. (5t + 4)(5t + 4)

Incorrect
D. (5t + 3)(5t – 4)

Incorrect

Problem 8

Which of the following expressions is a polynomial?

A. 3x^–4 – 1

Incorrect
B.

Incorrect
C. x + x^2/3

Incorrect
D. x² + x –2

Correct

Problem 9

What is the product of the polynomials (x² + x + 2) and (3 x² – x + 3)?

A. 3x⁴ + 2x³ + 8x² + x + 6

Correct
B. 3x⁴ + 2x³ + 8x² – x + 3

Incorrect
C. 3x⁴ – 2x³ + 8x² + 2x + 12

Incorrect
D. 3x⁴ + 2x³ – 9x² + x + 6

Incorrect

Problem 10

In which of the following graphs does the line passing through (3, –4) have an undefined slope?

A.

Incorrect
B.

Incorrect
C.

Incorrect
D.

Correct

Problem 11

What is the prime factorization of 561?

A.

Correct
B.

Incorrect
C.

Incorrect
D.

Incorrect

Problem 12

Which of the following binomials is a factor of the polynomial x³ + x² – 9x + 6?

A. x + 2

Incorrect
B. x + 1

Incorrect
C. x – 1

Incorrect
D. x – 2

Correct

Problem 13

What are the horizontal and vertical asymptotes of the rational function

A. Horizontal asymptote and vertical asymptote

Incorrect
B. Horizontal asymptote and vertical asymptote

Correct
C. Horizontal asymptote and vertical asymptote

Incorrect
D. Horizontal asymptote and vertical asymptote

Incorrect

Problem 14

What is the simplest form of the expression ?

A.

Incorrect
B.

Correct
C.

Incorrect
D.

Incorrect

Problem 15

Which of the following graphs represents the equation y = –4 – |x|?

A.

Correct
B.

Incorrect
C.

Incorrect
D.

Incorrect

Problem 16

What is the solution of the equation ?

A.

Incorrect
B.

Correct
C.

Incorrect
D.

Incorrect

Problem 17

A new motorcycle that cost $5,000 decreased in value to $1,000 in 6 years. What is the average annual rate of depreciation, to the nearest tenth of a percent?

A. 23.5%

Correct
B. 20.5%

Incorrect
C. 18.5%

Incorrect
D. 17.5%

Incorrect

Problem 18

Which of the graphs shows the following system and its solution?

A.

Incorrect
B.

Correct
C.

Incorrect
D.

Incorrect

Problem 19

What is solution of the equation 2log x – log 1 + 2log 5 = 4?

A. x = –20

Incorrect
B. x = 10

Incorrect
C. x = 15

Incorrect
D. x = 20

Correct

Problem 20

A card is in the shape of a square. The area of the card is 225 sq units and the length of the side is x + 1 units. What is the length of the side?

A. 14 units

Incorrect
B. 15 units

Correct
C. 20 units

Incorrect
D. 22 units

Incorrect

Algebra 2 Course Test (problems: 1 - 20)

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