Question 1

Solve the inequality. Write the solution set using interval notation and graph it.
-

Accepted Answer

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

Question 2

Solve the problem.
-A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 51 marbles in it. At least how many green marbles does it have?

Accepted Answer

A)  At least 18 green marbles 
B)  At least 17 green marbles 
C)  At least 34 green marbles 
D)  At least 26 green marbles 
A)  At least 18 green marbles 
B)  At least 17 green marbles 
C)  At least 34 green marbles 
D)  At least 26 green marbles B

Question 3

Solve the problem.
-A square has an area of 49 square inches. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. Find the dimensions of the rectangle.

Accepted Answer

A)  4 in. by 9 in. 
B)  5 in. by 9 in. 
C)  3 in. by 4 in. 
D)  5 in. by 10 in. 
A)  4 in. by 9 in. 
B)  5 in. by 9 in. 
C)  3 in. by 4 in. 
D)  5 in. by 10 in. B

Question 4

Use the appropriate formula to solve the problem.
-Using the interest rate formula A   , find f to the nearest dollar when A = 11%, p = 12, b = $2900, q = 12.

Accepted Answer

A)  $183 
B)  $170 
C)  $173 
D)  $195 
A)  $183 
B)  $170 
C)  $173 
D)  $195

Question 5

Decide whether the given number is a solution to the equation preceding it.
-6y + 9(y - 6) = 81; 9

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 6

Graph the equation in the rectangular coordinate system.
-x = 1

Accepted Answer

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

Question 7

Find the real or imaginary solutions by using the quadratic formula.
-  - 18x + 24 = 0

Accepted Answer

A)  {0, 2, 4} 
B)  {2, 4} 
C)  {-2, -4} 
D)  {2i, 4i} 
A)  {0, 2, 4} 
B)  {2, 4} 
C)  {-2, -4} 
D)  {2i, 4i}

Question 8

Find the real or imaginary solutions by completing the square.
-  + 4x + 40 = 0

Accepted Answer

A)    
B)    
C)    
D)  {4, -8} 
A)    
B)    
C)    
D)  {4, -8}

Question 9

Solve the problem.
-  The graph shows the amount of gas in a 200-gallon tank after x minutes have elapsed. (i) Is the gas entering or leaving the tank? (ii) Find the x-intercept and the y-intercept.

Accepted Answer

A)  Leaving; x-intercept is 0 and y-intercept is 200 
B)  Entering; both intercepts are 0 
C)  Leaving; both intercepts are 0 
D)  Entering; x-intercept is 200 and y-intercept is 0 
A)  Leaving; x-intercept is 0 and y-intercept is 200 
B)  Entering; both intercepts are 0 
C)  Leaving; both intercepts are 0 
D)  Entering; x-intercept is 200 and y-intercept is 0

Question 10

Write the standard equation for the circle.
-Center at (-8, 0), radius 7

Accepted Answer

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

Question 11

Solve the problem.
-If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate r, compounded annually, then in two years that investment will grow to an amount A, given by the formula
A = P(1 + r)2. If a principal amount of $4000 grows to $5198.40 in two years, what is the interest rate?

Accepted Answer

A)  14% 
B)  16% 
C)  12% 
D)  15% 
A)  14% 
B)  16% 
C)  12% 
D)  15%

Question 12

Write the ordered pair for each point shown in the xy plane.
-

Accepted Answer

A)  A = (2, 22), B = (7, -5) 
B)  A = (3, 2), B = (-5, 7) 
C)  A = (3, 7), B = (2, 7) 
D)  A = (3, 2), B = (7, -5) 
A)  A = (2, 22), B = (7, -5) 
B)  A = (3, 2), B = (-5, 7) 
C)  A = (3, 7), B = (2, 7) 
D)  A = (3, 2), B = (7, -5)

Question 13

Find the slope of the line containing the pair of points.
-(-8, -3), (-8, 4)

Accepted Answer

A)  0 
B)  No slope 
C)  7 
D)  -7 
A)  0 
B)  No slope 
C)  7 
D)  -7

Question 14

Write the ordered pair for each point shown in the xy plane.
-

Accepted Answer

A)  G = (4, -7), H = (6, -3) 
B)  G = (-7, 24), H = (6, -3) 
C)  G = (4, 6), H = (-7, 6) 
D)  G = (4, -7), H = (-3, 6) 
A)  G = (4, -7), H = (6, -3) 
B)  G = (-7, 24), H = (6, -3) 
C)  G = (4, 6), H = (-7, 6) 
D)  G = (4, -7), H = (-3, 6)

Question 15

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation.
-

Accepted Answer

A)    
B)    
C)  Identity, {all real numbers} 
D)  Conditional, {42} 
A)    
B)    
C)  Identity, {all real numbers} 
D)  Conditional, {42}

Question 16

Graph the equation in the rectangular coordinate system.
-y = -1

Accepted Answer

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

Question 17

Solve the formula for the specified variable.
-S =   for h

Accepted Answer

A)  h = S - r 
B)    
C)    
D)    
A)  h = S - r 
B)    
C)    
D)

Question 18

Use the square root property to find all real or imaginary solutions to the equation.
-  + 121 = 0

Accepted Answer

A)  {60.5} 
B)    
C)    
D)  {11} 
A)  {60.5} 
B)    
C)    
D)  {11}

Question 19

Solve the equation by factoring.
-  + 8x + 7 = 0

Accepted Answer

A)  [-1, 7} 
B)  {8, 7} 
C)  {1, 7} 
D)  {-7, -1} 
A)  [-1, 7} 
B)  {8, 7} 
C)  {1, 7} 
D)  {-7, -1}

Question 20

Write the quotient in the form a + bi.
-

Accepted Answer

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

Solve the inequality. Write the solution set using interval notation and graph it. -

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 51 marbles in it. At least how many green marbles does it have?

Solve the problem. -A square has an area of 49 square inches. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. Find the dimensions of the rectangle.

Use the appropriate formula to solve the problem. -Using the interest rate formula A , find f to the nearest dollar when A = 11%, p = 12, b = $2900, q = 12.

Decide whether the given number is a solution to the equation preceding it. -6y + 9(y - 6) = 81; 9

Graph the equation in the rectangular coordinate system. -x = 1

Find the real or imaginary solutions by using the quadratic formula. - - 18x + 24 = 0

Find the real or imaginary solutions by completing the square. - + 4x + 40 = 0

Solve the problem. - The graph shows the amount of gas in a 200-gallon tank after x minutes have elapsed. (i) Is the gas entering or leaving the tank? (ii) Find the x-intercept and the y-intercept.

Write the standard equation for the circle. -Center at (-8, 0), radius 7

Write the ordered pair for each point shown in the xy plane. -

Find the slope of the line containing the pair of points. -(-8, -3), (-8, 4)

Write the ordered pair for each point shown in the xy plane. -

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

Graph the equation in the rectangular coordinate system. -y = -1

Solve the formula for the specified variable. -S = for h

Use the square root property to find all real or imaginary solutions to the equation. - + 121 = 0

Solve the equation by factoring. - + 8x + 7 = 0

Write the quotient in the form a + bi. -

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 1: Equations, Inequalities, and Modeling

Solve the inequality. Write the solution set using interval notation and graph it. -

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 51 marbles in it. At least how many green marbles does it have?

Solve the problem. -A square has an area of 49 square inches. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45 square inches. Find the dimensions of the rectangle.

Use the appropriate formula to solve the problem. -Using the interest rate formula A , find f to the nearest dollar when A = 11%, p = 12, b = $2900, q = 12.

Decide whether the given number is a solution to the equation preceding it. -6y + 9(y - 6) = 81; 9

Graph the equation in the rectangular coordinate system. -x = 1

Find the real or imaginary solutions by using the quadratic formula. - - 18x + 24 = 0

Find the real or imaginary solutions by completing the square. - + 4x + 40 = 0

Solve the problem. - The graph shows the amount of gas in a 200-gallon tank after x minutes have elapsed. (i) Is the gas entering or leaving the tank? (ii) Find the x-intercept and the y-intercept.

Write the standard equation for the circle. -Center at (-8, 0), radius 7

Write the ordered pair for each point shown in the xy plane. -

Find the slope of the line containing the pair of points. -(-8, -3), (-8, 4)

Write the ordered pair for each point shown in the xy plane. -

Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

Graph the equation in the rectangular coordinate system. -y = -1

Solve the formula for the specified variable. -S = for h

Use the square root property to find all real or imaginary solutions to the equation. - + 121 = 0

Solve the equation by factoring. - + 8x + 7 = 0

Write the quotient in the form a + bi. -

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters