Pre-Calculus

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether the statement is true or false.

1) 〖-7〗^(3 )= 〖(-7)〗^3 1) _______

A) True B) False

2) All integers are whole numbers. 2) _______

A) True B) False

Simplify.

3) (-3[(4+6) - (-1-5)])/((-5)(√16) + 4) 3) _______

A) - 7/4 B) 3 C) - 21/8 D) - 3

Write the statement using mathematical symbols.

4) Twice the sum of x and three is twenty. 4) _______

A) x + 3 = 20 B) 2x + 3 = 20 C) 2(x + 3) = 20 D) 2(x + 20) = 3

Evaluate the expression for the given replacement values.

5) - (y-7x)/(5x-xz) when x = - 3, y = 4, and z = - 4 5) _______

A) 17/3 B) - 8/9 C) - 25/27 D) 17/27

Simplify the expression.

6) 3/4 a + 1/2 - 1/2 a + 4/5 6) _______

A) 1/4 a- 3/10 B) -5/4 a- 3/10 C) -5/4 a+ 13/10 D) 1/4 a+ 13/10

Solve the equation.

7) 3n - 6 + n = 2(2n - 3) 7) _______

A)- 3/2 B) 3/2

C) ∅ D) all real numbers

8) (z+3)/6+ 1 = (2z+7)/4 8) _______

A) - 3/4 B) - 7/2 C) - 1 D) 39/4

9) |x + 9| = |5 - x| 9) _______

A) - 2 B) 1/2 C) ∅ D) -4

Solve the equation for the specified variable.

10) 5x - 7y = 6 for y 10) ______

A) y= (6-5x)/7 B) y = 5x - 6 C) y= (5x+6)/7 D) y= (5x-6)/7

Solve the inequality. Write your solution in interval notation.

11) -2 -5 18) ______

A) B)

C) D)

Find the domain and range of the relation. Also determine whether the relation is a function.

19)

19) ______

A) domain: (-∞, ∞); range: (0, ∞); not a function

B) domain: (-∞, ∞); range: (-∞, ∞); not a function

C) domain: (-∞, ∞); range: (-∞, ∞); function

D) domain: (0, ∞); range: (0, ∞); function

Solve the problem.

20) Sales for a small clothing company can be modeled by the linear function , where x is the number of years since 2005 and S(x) is in dollars. Find the sales in 2010. 20) ______

A) $246,589 B) $62,367 C) $65,801 D) $260,325

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Determine whether the statement is true or false.

1) 〖-7〗^(3 )= 〖(-7)〗^3 1) _______

A) True B) False

2) All integers are whole numbers. 2) _______

A) True B) False

Simplify.

3) (-3[(4+6) - (-1-5)])/((-5)(√16) + 4) 3) _______

A) - 7/4 B) 3 C) - 21/8 D) - 3

Write the statement using mathematical symbols.

4) Twice the sum of x and three is twenty. 4) _______

A) x + 3 = 20 B) 2x + 3 = 20 C) 2(x + 3) = 20 D) 2(x + 20) = 3

Evaluate the expression for the given replacement values.

5) - (y-7x)/(5x-xz) when x = - 3, y = 4, and z = - 4 5) _______

A) 17/3 B) - 8/9 C) - 25/27 D) 17/27

Simplify the expression.

6) 3/4 a + 1/2 - 1/2 a + 4/5 6) _______

A) 1/4 a- 3/10 B) -5/4 a- 3/10 C) -5/4 a+ 13/10 D) 1/4 a+ 13/10

Solve the equation.

7) 3n - 6 + n = 2(2n - 3) 7) _______

A)- 3/2 B) 3/2

C) ∅ D) all real numbers

8) (z+3)/6+ 1 = (2z+7)/4 8) _______

A) - 3/4 B) - 7/2 C) - 1 D) 39/4

9) |x + 9| = |5 - x| 9) _______

A) - 2 B) 1/2 C) ∅ D) -4

Solve the equation for the specified variable.

10) 5x - 7y = 6 for y 10) ______

A) y= (6-5x)/7 B) y = 5x - 6 C) y= (5x+6)/7 D) y= (5x-6)/7

Solve the inequality. Write your solution in interval notation.

11) -2 -5 18) ______

A) B)

C) D)

Find the domain and range of the relation. Also determine whether the relation is a function.

19)

19) ______

A) domain: (-∞, ∞); range: (0, ∞); not a function

B) domain: (-∞, ∞); range: (-∞, ∞); not a function

C) domain: (-∞, ∞); range: (-∞, ∞); function

D) domain: (0, ∞); range: (0, ∞); function

Solve the problem.

20) Sales for a small clothing company can be modeled by the linear function , where x is the number of years since 2005 and S(x) is in dollars. Find the sales in 2010. 20) ______

A) $246,589 B) $62,367 C) $65,801 D) $260,325

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