Question 1

Evaluate the expression.

Accepted Answer

A)  17.5 
B)  12 
C)  18 
D)  8 
E)  10 
A)  17.5 
B)  12 
C)  18 
D)  8 
E)  10

Question 2

Add.

Accepted Answer

A)  -5 
B)  4 
C)  5 
D)  0 
A)  -5 
B)  4 
C)  5 
D)  0

Question 3

A man uses a 11-foot bar to lift a 108-pound tire. He places a rock 2 feet from the tire to act as the fulcrum. How much force must he exert to lift the tire?

Accepted Answer

A)  108 lb 
B)  12 lb 
C)  24 lb 
D)  9 lb 
A)  108 lb 
B)  12 lb 
C)  24 lb 
D)  9 lb

Question 4

Simplify the following algebraic expression and express your answer using positive exponents only.

Accepted Answer

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

Question 5

Write the number   in standard notation.

Accepted Answer

A)  0 
B)  10 
C)  2 
D)  20 
E)  200 
A)  0 
B)  10 
C)  2 
D)  20 
E)  200

Question 6

The Moon is about   in. from Earth. Find this distance in kilometers.

Accepted Answer

A)  300,000 
B)  3,781,960 
C)  378,196 
D)  37,820 
A)  300,000 
B)  3,781,960 
C)  378,196 
D)  37,820

Question 7

Solve the equation. 15 ( r + 2 ) = 12 ( r - 3 )

Accepted Answer

A)  r = -20 
B)  r = -32 
C)  r = -27 
D)  r = -13 
E)  r = -22 
A)  r = -20 
B)  r = -32 
C)  r = -27 
D)  r = -13 
E)  r = -22

Question 8

Which of the given graphs is the solution of the following compound inequality? x ≥ 3 and x ≤ 5

Accepted Answer

A)    
B)    
C)    
D)  none of these 
A)    
B)    
C)    
D)  none of these

Question 9

A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much rye must be mixed with 140 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Accepted Answer

A)  70 lb 
B)  100 lb 
C)  80 lb 
D)  85 lb 
E)  50 lb 
A)  70 lb 
B)  100 lb 
C)  80 lb 
D)  85 lb 
E)  50 lb

Question 10

Find x .

Accepted Answer

A)  x = 30 
B)  x = 37 
C)  x = 40 
D)  x = 32 
E)  x = 39 
A)  x = 30 
B)  x = 37 
C)  x = 40 
D)  x = 32 
E)  x = 39

Question 11

When two lines intersect as in the illustration below, four angles are formed. Angles that are side-by-side, such as   and   , are called adjacent angles. Angles that are nonadjacent, such as   and   or   and   , are called vertical angles. From geometry, we know that if two lines intersect, vertical angles have the same measure. If   and   , find x . Read   as "the measure of   ".

Accepted Answer

A)  x = 11 
B)  x = 15 
C)  x = 6 
D)  x = 8 
E)  x = 10 
A)  x = 11 
B)  x = 15 
C)  x = 6 
D)  x = 8 
E)  x = 10

Question 12

Evaluate the expression.

Accepted Answer

A)  2.8 
B)  2 
C)  5.5 
D)  4.4 
E)  1.1 
A)  2.8 
B)  2 
C)  5.5 
D)  4.4 
E)  1.1

Question 13

Use a property of equality to solve the equation.

Accepted Answer

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

Question 14

Multiply.

Accepted Answer

A)  17 
B)  72 
C)  89 
D)  9 
E)  8 
A)  17 
B)  72 
C)  89 
D)  9 
E)  8

Question 15

Paint costing $20 per gallon is to be mixed with 5 gallons of paint thinner costing $3 per gallon to make a paint that can be sold for $15 per gallon. Refer to the table below and compute how much of the new paint mixture will be produced. Paint gal Thinner gal Mixture gal

Accepted Answer

A)  14 gal 
B)  13 gal 
C)  18 gal 
D)  15 gal 
E)  17 gal 
A)  14 gal 
B)  13 gal 
C)  18 gal 
D)  15 gal 
E)  17 gal

Question 16

Solve the formula   for the variable   .

Accepted Answer

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

Question 17

Use an equation to solve the problem. One-third of the movie audience left the theater in disgust. If 77 angry patrons walked out, how many were there originally?

Accepted Answer

A)  231 
B)  243 
C)  204 
D)  196 
E)  190 
A)  231 
B)  243 
C)  204 
D)  196 
E)  190

Question 18

Write the number   in scientific notation.

Accepted Answer

A)    
B)  8,490 
C)    
D)    
E)    
A)    
B)  8,490 
C)    
D)    
E)

Question 19

Select the expression that completes the formula below.

Accepted Answer

A)    
B)    
C)    
D)    
E)  None of these 
A)    
B)    
C)    
D)    
E)  None of these

Question 20

An 30-pound boy wants to teeter on a 24-foot seesaw with his older sister who weighs 90 pounds. The fulcrum of the seesaw is in the center. If the boy sits at one end, how far will the boy's sister have to sit from the fulcrum to balance the seesaw?

Accepted Answer

A)  12 
B)  60 
C)  4 
D)  3 
A)  12 
B)  60 
C)  4 
D)  3

Evaluate the expression.

Add.

A man uses a 11-foot bar to lift a 108-pound tire. He places a rock 2 feet from the tire to act as the fulcrum. How much force must he exert to lift the tire?

Simplify the following algebraic expression and express your answer using positive exponents only.

Write the number in standard notation.

The Moon is about in. from Earth. Find this distance in kilometers.

Solve the equation. 15 ( r + 2 ) = 12 ( r - 3 )

Which of the given graphs is the solution of the following compound inequality? x ≥ 3 and x ≤ 5

A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much rye must be mixed with 140 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Find x .

Evaluate the expression.

Use a property of equality to solve the equation.

Multiply.

Paint costing $20 per gallon is to be mixed with 5 gallons of paint thinner costing $3 per gallon to make a paint that can be sold for $15 per gallon. Refer to the table below and compute how much of the new paint mixture will be produced. Paint gal Thinner gal Mixture gal

Solve the formula for the variable .

Use an equation to solve the problem. One-third of the movie audience left the theater in disgust. If 77 angry patrons walked out, how many were there originally?

Write the number in scientific notation.

Select the expression that completes the formula below.

An 30-pound boy wants to teeter on a 24-foot seesaw with his older sister who weighs 90 pounds. The fulcrum of the seesaw is in the center. If the boy sits at one end, how far will the boy's sister have to sit from the fulcrum to balance the seesaw?

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 1: A Review of Basic Algebra

Evaluate the expression.

Add.

A man uses a 11-foot bar to lift a 108-pound tire. He places a rock 2 feet from the tire to act as the fulcrum. How much force must he exert to lift the tire?

Simplify the following algebraic expression and express your answer using positive exponents only.

Write the number in standard notation.

The Moon is about in. from Earth. Find this distance in kilometers.

Solve the equation. 15 ( r + 2 ) = 12 ( r - 3 )

Which of the given graphs is the solution of the following compound inequality? x ≥ 3 and x ≤ 5

A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much rye must be mixed with 140 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Find x .

Evaluate the expression.

Use a property of equality to solve the equation.

Multiply.

Paint costing $20 per gallon is to be mixed with 5 gallons of paint thinner costing $3 per gallon to make a paint that can be sold for $15 per gallon. Refer to the table below and compute how much of the new paint mixture will be produced. Paint gal Thinner gal Mixture gal

Solve the formula for the variable .

Use an equation to solve the problem. One-third of the movie audience left the theater in disgust. If 77 angry patrons walked out, how many were there originally?

Write the number in scientific notation.

Select the expression that completes the formula below.

An 30-pound boy wants to teeter on a 24-foot seesaw with his older sister who weighs 90 pounds. The fulcrum of the seesaw is in the center. If the boy sits at one end, how far will the boy's sister have to sit from the fulcrum to balance the seesaw?

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Radical Expressions and Equations

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters