Question 1

Find the least common denominator for the expression.
-

Accepted Answer

A)  3(x + 4)(x - 4) 
B)  -3(x + 4)(x - 4) 
C)  -3(x + 4)(x + 4) 
D)  -(x + 4)(x - 4) 
A)  3(x + 4)(x - 4) 
B)  -3(x + 4)(x - 4) 
C)  -3(x + 4)(x + 4) 
D)  -(x + 4)(x - 4)

Question 2

Add or subtract.
-

Accepted Answer

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

Question 3

Solve the problem and answer the question.
-A painter can finish painting a house in 7 hours. Her assistant takes 9 hours to finish the same job. How long would it take for them to complete the job if they were working together?

Accepted Answer

A)    
B)  8 hr 
C)    
D)  6 hr 
A)    
B)  8 hr 
C)    
D)  6 hr

Question 4

Determine the value or values of the variable where the expression is defined.
-

Accepted Answer

A)  all real numbers except x = -9 
B)  all real numbers except x = 0 
C)  all real numbers except x = 9 
D)  all real numbers 
A)  all real numbers except x = -9 
B)  all real numbers except x = 0 
C)  all real numbers except x = 9 
D)  all real numbers

Question 5

Find the quantity indicated.
-g varies inversely as f. Find k when g = 9 and f = 7.

Accepted Answer

A)  k = 63 
B)  k = 54 
C)    
D)    
A)  k = 63 
B)  k = 54 
C)    
D)

Question 6

Add or subtract.
-

Accepted Answer

A)    
B)    
C)  x + 12 
D)  x - 2 
A)    
B)    
C)  x + 12 
D)  x - 2

Question 7

Solve the equation and check your solution.
-

Accepted Answer

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

Question 8

Multiply.
-

Accepted Answer

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

Question 9

Solve the problem and answer the question.
-BJ can overhaul a boat's diesel inboard engine in 15 hours. His apprentice takes 30 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency?

Accepted Answer

A)  4 hr 
B)  45 hr 
C)  10 hr 
D)  6 hr 
A)  4 hr 
B)  45 hr 
C)  10 hr 
D)  6 hr

Question 10

Add or subtract.
-

Accepted Answer

A)    
B)  7 
C)    
D)    
A)    
B)  7 
C)    
D)

Question 11

Simplify.
-

Accepted Answer

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

Question 12

Solve the equation and check your solution.
-

Accepted Answer

A)  x = 5, -5 
B)  x = 5 
C)  x = -5 
D)  No solution 
A)  x = 5, -5 
B)  x = 5 
C)  x = -5 
D)  No solution

Question 13

Solve the equation and check your solution.
-

Accepted Answer

A)  x = 5, x = 4 
B)  x = -5, x = 4 
C)    
D)  x = 5, x = -4 
A)  x = 5, x = 4 
B)  x = -5, x = 4 
C)    
D)  x = 5, x = -4

Question 14

Add or subtract.
-

Accepted Answer

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

Question 15

Add or subtract.
-

Accepted Answer

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

Question 16

Divide.
-

Accepted Answer

A)    
B)    
C)  z + 2 
D)    
A)    
B)    
C)  z + 2 
D)

Question 17

Add or subtract.
-

Accepted Answer

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

Question 18

Find the least common denominator for the expression.
-

Accepted Answer

A)  (x - 1)(x - 5) 
B)  (x + 1)(x - 5) 
C)  (x + 1)(x + 5) 
D)  (x - 1)(x + 5) 
A)  (x - 1)(x - 5) 
B)  (x + 1)(x - 5) 
C)  (x + 1)(x + 5) 
D)  (x - 1)(x + 5)

Question 19

Solve the equation and check your solution.
-

Accepted Answer

A)    
B)  x = -7 
C)    
D)  No solution 
A)    
B)  x = -7 
C)    
D)  No solution

Question 20

Write the variation.
-r varies directly as the square of t.

Accepted Answer

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

Find the least common denominator for the expression. -

Add or subtract. -

Solve the problem and answer the question. -A painter can finish painting a house in 7 hours. Her assistant takes 9 hours to finish the same job. How long would it take for them to complete the job if they were working together?

Determine the value or values of the variable where the expression is defined. -

Find the quantity indicated. -g varies inversely as f. Find k when g = 9 and f = 7.

Add or subtract. -

Solve the equation and check your solution. -

Multiply. -

Solve the problem and answer the question. -BJ can overhaul a boat's diesel inboard engine in 15 hours. His apprentice takes 30 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency?

Add or subtract. -

Simplify. -

Solve the equation and check your solution. -

Solve the equation and check your solution. -

Add or subtract. -

Add or subtract. -

Divide. -

Add or subtract. -

Find the least common denominator for the expression. -

Solve the equation and check your solution. -

Write the variation. -r varies directly as the square of t.

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 7: Rational Expressions and Equations

Find the least common denominator for the expression. -

Add or subtract. -

Solve the problem and answer the question. -A painter can finish painting a house in 7 hours. Her assistant takes 9 hours to finish the same job. How long would it take for them to complete the job if they were working together?

Determine the value or values of the variable where the expression is defined. -

Find the quantity indicated. -g varies inversely as f. Find k when g = 9 and f = 7.

Add or subtract. -

Solve the equation and check your solution. -

Multiply. -

Solve the problem and answer the question. -BJ can overhaul a boat's diesel inboard engine in 15 hours. His apprentice takes 30 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency?

Add or subtract. -

Simplify. -

Solve the equation and check your solution. -

Solve the equation and check your solution. -

Add or subtract. -

Add or subtract. -

Divide. -

Add or subtract. -

Find the least common denominator for the expression. -

Solve the equation and check your solution. -

Write the variation. -r varies directly as the square of t.

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters