1

Evaluate the following expression for a = -1, b = 2, and c = -3.

Select one:

a. -1

b. -1/3

c. 1/3

d. 1

Question 2

In the expression (a 2)(b + 3), a 2 is considered to be which of the following?

Select one:

a. Term

b. Factor

c. Coefficient

d. Equation

Question 3

Which of the following expressions is equivalent to-2x (-xy) + 7x 4xy?

Select one:

a. 5x - 3xy

b. 5x - 5xy

c. 5xy - 5x

d. 3xy + 5x

Question 4

Which of the following statements is equivalent to the equation 6x - 18 = 0?

Select one:

a. x = -3

b. 6x = - 18

c. 6x - 18 + 18 = 0

d. x - 3 = 0

Question 5

Which of the following equations is an identity?

Select one:

a. 3(x -2) + x = 2 - x

b. 3(x - 2) + x = 2(2x - 3)

c. 3(x - 2) + x = 4x - 3

d. 3(x -2) + x = x - 2

Question 6

Solve the following equation for x.

Select one:

a. -9

b. -4

c. -3

d. -2

Question 7

Solve the equation 5[4- 2(a - 1)] = 2(5 - 3a) for a.

Select one:

a. 0

b. 5

c. -5

d. -3

Question 8

How many solutions does the equation 2(x - 3) + 4 = x + 3 have?

Select one:

a. Zero solutions

b. One solution

c. Five solutions

d. Infinite solutions

Question 9

Solve the equation 5(x 2) + 3 = 2(4x + 1) for x.

Select one:

a. -4

b. -3

c. 0

d. 3

Question 10

Vera and Wanda are riding their bicycles. They start at the same point and travel in opposite directions. Vera rides with the speed of 8 miles per hour, and Wanda rides with the speed of 10 miles per hour. How long will it take until the girls are 27 miles apart?

Select one:

a. 1.5 hours

b. 2 hours

c. 2.5 hours

d. 3 hours

Question 11

4 gallons of a light purple paint that is 15% blue are combined with a dark purple paint that is 60% blue. How many gallons of a dark purple paint must be used to create a purple paint that is 30% blue?

Select one:

a. 1 gallon

b. 2 gallons

c. 3 gallons

d. 4 gallons

Question 12

Translate following verbal equation into an algebraic expression, using n as the variable, and then solve the expression: The difference between 10 times a number and twice the number is 16.

Select one:

a. 10n - 2n = 16; n = 2

b. 10(n - 2) = 16; n = 3.6

c. 10 - 2n = 16; n = -3

d. 10 - 2n = 16; n = 3

Question 13

A 16-ounce bottle of lemonade contains 2 ounces of lemon juice. Which of the following should you do to find the percent concentration of lemon juice?

Select one:

a. Divide 16 by 2, and then multiply by 100.

b. Divide 2 by 16, and then multiply by 100.

c. Divide 16 by 2, and then divide by 100.

d. Divide 2 by 16, and then divide by 100.

Question 14

John works in a library and gets paid $15 per hour. How much money does John make by working h hours?

Select one:

a. $15

b. $15(h)

c. $(15 + h)

d. $(h/15)

Question 15

Which of the following inequalities is equivalent to -5x < 10?

Select one:

a. x< -2

b. x > -2

c. x< 5

d. x > 5

Question 16

Which of the following graphs shows the solution of the inequality 3x - 1 < 5(x + 1) - 4?

Select one:

a. I

b. II

c. III

d. IV

Question 17

Which of the following is the graph of the inequality 5x 2y > 10?

Select one:

a. I

b. II

c. III

d. IV

Question 18

Which of the following inequalities is shown on the graph below?

Select one:

a. x - 2y< 8

b. x - 2y > 8

c. x - 2y<-8

d. x - 2y > -8

Question 19

Which of the following equations describes a line passing through the point (5, 4.5), parallel to the line with the equation 4x 5y = 2?

Select one:

a. 8x - 10y = -5

b. 8x + 10y = -5

c. 10x - 8y = 5

d. 10x + 8y = 5

Question 20

Which of the following is the graph of the equation below?

Select one:

a. I

b. II

c. III

d. IV

Question 21

Which of the following is the graph of the equation 3x y = 4 ?

Select one:

a. I

b. II

c. III

d. IV

Question 22

Marilyn has $6 to buy some folders and notebooks for schoolwork. Each folder costs $.75 and each notebook costs $1.5. The graph below shows the relationship between the number of folders (y) and the number of notebooks (x) she can buy.

What is the meaning of the x intercept of the line shown on the graph below?

Select one:

a. The maximum number of folders Marilyn can buy if she does not buy any notebooks

b. The maximum number of notebooks Marilyn can buy if she does not buy any folders

c. The maximum number of items Marillyn can buy and not get any change

d. The ratio of number of folders to the number of notebooks

Question 23

Which of the following are the coordinates of the points A, B, and C, shown on the coordinate plane below?

Select one:

a. A(-3, 6), B(-3, -4), C(3, 0)

b. A(6, -3), B(-4, -3), C(0, 3)

c. A(-3, 6), B(-3, -4), C(0, 3)

d. A(-3, -4), B(-3, 6), C(3, 0)

Question 24

Which of the following is the graph of the line with the slope m = -2 and the y-intercept b = -3?

Select one:

a. I

b. II

c. III

d. IV

Question 25

Determine the slope, m, and y-intercept, b, of the line described by the following equation.

Select one:

a. m = 1/3, b = 1

b. m = 1/3, b = 2

c. m = 2, b = 1

d. m = 3, b = 2

Question 26

On a shopping trip to a supermarket, John purchased 4 pounds of onions and 5 pounds of potatoes, while Henry purchased 5 pounds of onions and 3 pounds of potatoes. Later, John wanted to check what the price of potatoes was, but his receipt only indicated the total price of produce, which was $9.20. Then, John found out that the total price of produce on Henry's receipt was $7.60. What was the price of the onions and potatoes at the supermarket?

Select one:

a. The price of onions was $1.20 per pound; the price of potatoes was $0.80 per pound.

b. The price of onions was $0.80 per pound; the price of potatoes was $1.20 per pound.

c. There is not enough information given to solve this problem.

d. Both onions and potatoes cost $1.00 per pound.

Question 27

Not yet answered

Which of the following systems of inequalities is graphed below?

Select one:

a. I

b. II

c. III

d. IV

Question 28

How many solutions does the following system of equations have?

Select one:

a. Zero solutions

b. One solution

c. Two solutions

d. Infinite solutions

Question 29

Solve the following system of equations.

Select one:

a. (-3, 2)

b. (-1, 1)

c. (1, -1)

d. (4, 1)

Question 30

A motorboat can travel the distance of 90 miles downstream in 3 hours. It can travel the same distance upstream in 5 hours. Find the speed at which the motorboat travels in calm water.

Select one:

a. 45 miles per hour

b. 30 miles per hour

c. 24 miles per hour

d. 18 miles per hour

Question 31

Classify the following system according to the number of solutions.

Select one:

a. The system is dependent and has infinitely many solutions.

b. The system is inconsistent and has no solutions.

c. The system is consistent and independent, and it has one solution.

d. The system is consistent and independent, and it has two solutions.

Question 32

Which of the following systems of inequalities is graphed below?

Select one:

a. I

b. II

c. III

d. IV

Question 33

Which of the following rewrites the expression below without negative exponents?

Select one:

a. I

b. II

c. III

d. IV

Question 34

Which of the following expressions is equivalent to the expression below?

Select one:

a. I

b. II

c. III

d. IV

Question 35

Which of the following is the result of the division of the monomial m⁴n⁵ by the monomial mn² ?

Select one:

a. 4n³

b. m³n³

c. m⁵n⁶

d. 12

Question 36

Complete the following statement. The expression 2x³ 4x² + x 5 is a

Select one:

a. cubic four-term polynomial.

b. fourth degree trinomial.

c. quadratic four-term polynomial.

d. fifth degree trinomial.

Question 37

Which of the following is a correctly solved polynomial addition problem?

Select one:

a. I

b. II

c. III

d. IV

Question 38

Which of the following expressions are polynomials?

Select one:

a. Only II

b. I and II

c. I, II, and IV

d. Only III

Question 39

Which of the following is the result of the polynomial division of 12y⁴ - 6y³ + 3y² by 3y²?

Select one:

a. 4y² - 2y

b. 4y² - 2y + 1

c. 12y⁴ - 6y³

d. One cannot divide a polynomial by a monomial.

Question 40

Which of the following is the result of multiplication of a b - 2 by a + 2b + 3?

Select one:

a. a² + ab - 2b² + a - 7b - 6

b. a² + 2ab - 2b² + 3a - 4b - 6

c. a² - ab - 2b² + 3a - 3b - 6

d. a² + 2ab - 2b² - 2a - 4b - 6

Question 41

Which of the following expressions equals (x - 2y)²?

Select one:

a. x² - 4y²

b. x² + 4y²

c. x² - 4xy + 4y²

d. x² - 2xy + 4y²

Question 42

Which of the following expressions cannot be factored?

Select one:

a. x² - 4

b. x² + 4

c. x³ - 8

d. x³ + 8

Question 43

Which of the following is the result of the factoring polynomial

ax + 2ay 3bx 6by?

Select one:

a. (a - 3b)(x + 2y)

b. (a + 3b)(x - 2y)

c. a(x + 2y) - 3b(x + 2y)

d. x(a - 3b) + 2y(a - 3b)

Question 44

Marianne is buying carpet for a rectangular room with the length 2 yards greater than the width. If she needs 48 square yards of carpet, what are the width and the length of the room?

Select one:

a. The width is 6 yards; the length is 8 yards.

b. The width is 8 yards; the length is 10 yards.

c. The width is 11 yards; the length is 13 yards.

d. The width is 4 yards; the length is 12 yards.

Question 45

What is the result of factoring the expression 2x² - 7x + 4?

Select one:

a. (2x - 1)(x - 4)

b. (2x + 1)(x - 4)

c. (2x - 1)(x + 4)

d. This trinomial cannot be factored.

Question 46

Which of the following expressions is a difference of two squares?

Select one:

a. x² - 27

b. x² + 9

c. x⁴ - 81

d. x³ - 27

Question 47

• Which of the following expressions is the result of factoring trinomial
• 2x³ 16x² + 30x completely?

Select one:

a. 2x(x - 3)(x - 5)

b. 2x(x² - 8x + 15)

c. (2x² - 6x)(x - 5)

d. 2(x - 3)(x² - 5x)

Question 48

The sum of squares of two consecutive odd intgers is 74. Find the integers.

Select one:

a. 5, 7 and -7, -5

b. 5, 7

c. -5, 7

d. 7, 9 and -9, -7

Question 49

Which of the following is the result of factoring trinomial 10y² - 9xy - x²?

Select one:

a. This trinomial cannot be factored.

b. (y - x)(10y + x)

c. (y + x)(10y - x)

d. (x + y)(x - 10y)

Question 50

Which of the following is equivalent to the expression 6x² 7x 3?

Select one:

a. (3x - 1)(2x + 3)

b. (3x + 1)(2x - 3)

c. (6x - 1)(x + 3)

d. (6x + 1)(x - 3)