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Algebra 2 Course Test (problems: 1 - 40)

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Practice Test Problem List

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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

Problem 21

A ball is dropped from a height of 12 feet. Each time it hits the ground, it bounces 90% of its previous height. What is the total vertical distance traveled by the ball?

A. 102 feet

Incorrect
B. 108 feet

Incorrect
C. 216 feet

Incorrect
D. 228 feet

Correct

Problem 22

What is the value of the logarithmic expression ?

A. –1

Incorrect
B. 1

Correct
C. 2

Incorrect
D. 3

Incorrect

Problem 23

Which of the following graphs shows the system of inequalities

|x| 1 and | y| 3?

A.

Incorrect
B.

Incorrect
C.

Correct
D.

Incorrect

Problem 24

What is the total surface area S of the rectangular prism shown if x = 4?

A. 424 square units

Incorrect
B. 376 square units

Correct
C. 348 square units

Incorrect
D. 268 square units

Incorrect

Problem 25

What values of x make the equation true?

A. 1 or 2

Correct
B. 2 or 3

Incorrect
C. 1 or 3

Incorrect
D. 2 or 4

Incorrect

Problem 26

Which of the following graphs represents the inequality

3x + 2y 4?

A.

Incorrect
B.

Incorrect
C.

Incorrect
D.

Correct

Problem 27

The measure of the complement of an angle is 40 less than half the measure of the supplement. What is the measure of the angle?

A. 30

Incorrect
B. 60

Incorrect
C. 80

Correct
D. 90

Incorrect

Problem 28

What is the solution of the matrix equation?

A.

Correct
B.

Incorrect
C.

Incorrect
D.

Incorrect

Problem 29

The side lengths and included angle of a triangle are given as

mA = 42, b = 15 and c = 20. What is the area of the triangle?

(Here a is the length of the side opposite A, b is the length of the side opposite B, etc.)

A. 86.72 sq units

Incorrect
B. 94.38 sq units

Incorrect
C. 100.37 sq units

Correct
D. 108.93 sq units

Incorrect

Problem 30

The coordinates of the vertices of triangle ABC are represented by the matrix below. What type of triangle is ABC?

A. Scalene

Incorrect
B. Isosceles

Correct
C. Equilateral

Incorrect
D. Right

Incorrect

Problem 31

Which graph represents the inverse of the function f(x) = x – 7?

A.

Correct
B.

Incorrect
C.

Incorrect
D.

Incorrect

Problem 32

What is the value of sin P?

A.

Incorrect
B.

Incorrect
C.

Correct
D.

Incorrect

Problem 33

What is the solution of the matrix equation?

A.

Incorrect
B.

Incorrect
C.

Incorrect
D.

Correct

Problem 34

Which of the following conics is defined by the equation x² – 6x + 14 – y = 0?

A. Ellipse

Incorrect
B. Hyperbola

Incorrect
C. Parabola

Correct
D. Circle

Incorrect

Problem 35

What is the standard form of the equation of a circle with center (–2, 3) and radius 4 units?

A. (x – 2)² + (y – 3)² = 16

Incorrect
B. (x – 2)² + (y + 3)² = 4

Incorrect
C. (x + 2)² + (y – 3)² = 16

Correct
D. (x + 2)² + (y – 3)² = 4

Incorrect

Problem 36

What is the simplest form of the expression?

A. 1

Correct
B. –1

Incorrect
C. tan(θ)

Incorrect
D. sin(θ)

Incorrect

Problem 37

Two men standing on the ground on the same side of a tall building notice that the angle of elevation to the top of the building is 30 and 45respectively. If the height of the building is 60 m, what is the approximate distance between the two men?