Question 1

Express the graph shown using interval notation. Also express it as an inequality involving x.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Solve the problem.
-3 - i is a solution of a quadratic equation with real coefficients. Find the other solution.

Accepted Answer

A) 3 + I 
B) 3 - I 
C) -3 + I 
D) -3 - i 
A) 3 + I 
B) 3 - I 
C) -3 + I 
D) -3 - i

Question 3

Write the expression in the standard form a + bi.
-

Accepted Answer

A) -2 + 2i 
B) 2 + 2i 
C) -2 - 2i 
D) -2 + i 
A) -2 + 2i 
B) 2 + 2i 
C) -2 - 2i 
D) -2 + i

Question 4

Write the expression in the standard form a + bi.
-If w = 9 + 3i, evaluate w -

Accepted Answer

A) 6i 
B) -18 + 6i 
C) 18 
D) 0 
A) 6i 
B) -18 + 6i 
C) 18 
D) 0

Question 5

Find the real solutions, if any, of the equation. Use the quadratic formula.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.
-The surface area of a sphere is 4π times the square of the radius.

Accepted Answer

A) If S represents the surface area and r the radius, then   
B) If S represents the surface area and r the radius, then   
C) If S represents the surface area and r the radius, then   
D) If S represents the surface area and r the radius, then   
A) If S represents the surface area and r the radius, then   
B) If S represents the surface area and r the radius, then   
C) If S represents the surface area and r the radius, then   
D) If S represents the surface area and r the radius, then

Question 7

Solve the equation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Solve the problem.
-How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain asolution that is 20% alcohol?

Accepted Answer

A) 36 gal 
B) 27 gal 
C) 7 gal 
D) 12 gal 
A) 36 gal 
B) 27 gal 
C) 7 gal 
D) 12 gal

Question 9

Solve the problem.
-Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9%annually. If Susanʹs investment amounts to $19,000 and the annual income is $1590, how much money isinvested in bonds and how much is invested in certificates of deposit?

Accepted Answer

A) $5500 in bonds; $13,500 in certificates of deposit 
B) $13,000 in bonds; $6000 in certificates of deposit 
C) $13,500 in bonds; $5500 in certificates of deposit 
D) $6000 in bonds; $13,000 in certificates of deposit 
A) $5500 in bonds; $13,500 in certificates of deposit 
B) $13,000 in bonds; $6000 in certificates of deposit 
C) $13,500 in bonds; $5500 in certificates of deposit 
D) $6000 in bonds; $13,000 in certificates of deposit

Question 10

Find the real solutions of the equation.
-

Accepted Answer

A) {-2, 1} 
B) {8} 
C) {2} 
D) {2, -1} 
A) {-2, 1} 
B) {8} 
C) {2} 
D) {2, -1}

Question 11

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places.
-

Accepted Answer

A) {0.62, -1.98} 
B) {-0.62, 0.82} 
C) {-1.62, -0.62} 
D) {-0.62, -0.18} 
A) {0.62, -1.98} 
B) {-0.62, 0.82} 
C) {-1.62, -0.62} 
D) {-0.62, -0.18}

Question 12

Solve the equation.
-x(1 + 3x)= (3x - 1)(x - 3)

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Solve the equation.
-

Accepted Answer

A) {-5} 
B) {5} 
C) {-8} 
D) {8} 
A) {-5} 
B) {5} 
C) {-8} 
D) {8}

Question 14

Write the word or phrase that best completes each statement or answers the question.
-The surface area A of a right circular cylinder is   where r is the radius and h is the height.Find the radius of a right circular cylinder whose surface area is 95.36π square inches and whose height is11.7 inches.

Accepted Answer

The answer of Write the word or phrase that best...

Question 15

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

A) {0, 49} 
B) {0, 7} 
C) {-49, 49} 
D) {-7, 7} 
A) {0, 49} 
B) {0, 7} 
C) {-49, 49} 
D) {-7, 7}

Question 16

Write the expression in the standard form a + bi.
-

Accepted Answer

A) -i 
B) i 
C) -1 
D) 1 
A) -i 
B) i 
C) -1 
D) 1

Question 17

Solve the problem.
-For a cone, the formula   describes the relationship between the radius r of the base, the volume V,and the height h. Find the volume if the radius is 8 inches and the cone is 10 inches high. (Use 3.14 as anapproximation for   and round to the nearest tenth.)

Accepted Answer

A) 669.9 cubic in. 
B) 83.7 cubic in. 
C) 6,028.8 cubic in. 
D) 67.0 cubic in. 
A) 669.9 cubic in. 
B) 83.7 cubic in. 
C) 6,028.8 cubic in. 
D) 67.0 cubic in.

Question 18

Solve a Quadratic Equation by Completing the Square
 Write the word or phrase that best completes each statement or answers the question.
Solve the equation by completing the square.
-  - 2x - 3 = 0

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Find the real solutions, if any, of the equation. Use the quadratic formula.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Solve the inequality. Express your answer using interval notation.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Express the graph shown using interval notation. Also express it as an inequality involving x. -

Solve the problem. -3 - i is a solution of a quadratic equation with real coefficients. Find the other solution.

Write the expression in the standard form a + bi. -

Write the expression in the standard form a + bi. -If w = 9 + 3i, evaluate w -

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols. -The surface area of a sphere is 4π times the square of the radius.

Solve the equation. -

Solve the problem. -How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain asolution that is 20% alcohol?

Solve the problem. -Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9%annually. If Susanʹs investment amounts to $19,000 and the annual income is $1590, how much money isinvested in bonds and how much is invested in certificates of deposit?

Find the real solutions of the equation. -

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places. -

Solve the equation. -x(1 + 3x)= (3x - 1)(x - 3)

Solve the equation. -

Write the word or phrase that best completes each statement or answers the question. -The surface area A of a right circular cylinder is where r is the radius and h is the height.Find the radius of a right circular cylinder whose surface area is 95.36π square inches and whose height is11.7 inches.

Write the word or phrase that best completes each statement or answers the question. -

Write the expression in the standard form a + bi. -

Solve the problem. -For a cone, the formula describes the relationship between the radius r of the base, the volume V,and the height h. Find the volume if the radius is 8 inches and the cone is 10 inches high. (Use 3.14 as anapproximation for and round to the nearest tenth.)

Solve a Quadratic Equation by Completing the Square Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. - - 2x - 3 = 0

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Solve the inequality. Express your answer using interval notation. -

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 1: Equations and Inequalities

Express the graph shown using interval notation. Also express it as an inequality involving x. -

Solve the problem. -3 - i is a solution of a quadratic equation with real coefficients. Find the other solution.

Write the expression in the standard form a + bi. -

Write the expression in the standard form a + bi. -If w = 9 + 3i, evaluate w -

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols. -The surface area of a sphere is 4π times the square of the radius.

Solve the equation. -

Solve the problem. -How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain asolution that is 20% alcohol?

Solve the problem. -Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9%annually. If Susanʹs investment amounts to $19,000 and the annual income is $1590, how much money isinvested in bonds and how much is invested in certificates of deposit?

Find the real solutions of the equation. -

Find the real solutions of the equation. Use a calculator to express the solutions rounded to two decimal places. -

Solve the equation. -x(1 + 3x)= (3x - 1)(x - 3)

Solve the equation. -

Write the word or phrase that best completes each statement or answers the question. -The surface area A of a right circular cylinder is where r is the radius and h is the height.Find the radius of a right circular cylinder whose surface area is 95.36π square inches and whose height is11.7 inches.

Write the word or phrase that best completes each statement or answers the question. -

Write the expression in the standard form a + bi. -

Solve the problem. -For a cone, the formula describes the relationship between the radius r of the base, the volume V,and the height h. Find the volume if the radius is 8 inches and the cone is 10 inches high. (Use 3.14 as anapproximation for and round to the nearest tenth.)

Solve a Quadratic Equation by Completing the Square Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. - - 2x - 3 = 0

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Solve the inequality. Express your answer using interval notation. -

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters