Question 1

Solve the equation.
-

Accepted Answer

A)  r = -12 
B)  r = -4 
C)  r = 4 
D)  r = 3 
A)  r = -12 
B)  r = -4 
C)  r = 4 
D)  r = 3

Question 2

Identify the equation as linear or nonlinear.
-5x - 9y = 1

Accepted Answer

A)  nonlinear 
B)  linear 
A)  nonlinear 
B)  linear

Question 3

Simplify.
--8 + 9(14 - 6m)

Accepted Answer

A)  118 - 54m 
B)  118 - 6m 
C)  126 - 54m 
D)  118 + 54m 
A)  118 - 54m 
B)  118 - 6m 
C)  126 - 54m 
D)  118 + 54m

Question 4

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
-A bag of fertilizer covers 2000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 380 feet by 240 feet.

Accepted Answer

A)  45 bags 
B)  4560 bags 
C)  456 bags 
D)  46 bags 
A)  45 bags 
B)  4560 bags 
C)  456 bags 
D)  46 bags

Question 5

Determine the ratio and write the ratio as some quantity to 1.
-According to a study, each week the average elementary child spends 19 hours watching television, 7 hours reading books, and 6 hours playing outside. What is the ratio of number of hours of television watched to the
Number of hours reading?

Accepted Answer

A)  19:7; 2.71:1 
B)  19:12; 1.58:1 
C)  19:6; 3.17:1 
D)  7:19; 0.37:1 
A)  19:7; 2.71:1 
B)  19:12; 1.58:1 
C)  19:6; 3.17:1 
D)  7:19; 0.37:1

Question 6

Solve the equation and check your solution.
-x - 18 = -5

Accepted Answer

A)  x = 13 
B)  x = 23 
C)  x = -23 
D)  x = -13 
A)  x = 13 
B)  x = 23 
C)  x = -23 
D)  x = -13

Question 7

Find the reciprocal.
-

Accepted Answer

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

Question 8

Use the simple interest formula.
-Alice invested some money at 11% simple interest. At the end of the year the total amount of her original principal and the interest was $9768. How much did she originally invest?

Accepted Answer

A)  $968 
B)  $107,448 
C)  $888 
D)  $8800 
A)  $968 
B)  $107,448 
C)  $888 
D)  $8800

Question 9

Solve the problem.
-In chemistry, the ideal gas law is   where P is pressure, T is temperature, V is volume, and K is a constant. Find the missing quantity.
V = 5, P = 80, K = 4

Accepted Answer

A)  T = 4 
B)  T = 64 
C)  T = 1600 
D)  T = 100 
A)  T = 4 
B)  T = 64 
C)  T = 1600 
D)  T = 100

Question 10

Solve the equation.
-(y - 8) - (y + 2) = 5y

Accepted Answer

A)    
B)    
C)    
D)  y = - 2 
A)    
B)    
C)    
D)  y = - 2

Question 11

Use the distance formula.
-Chris rode his bike at an average speed of 13.2 miles per hour for 4 hours. How far did he bike?

Accepted Answer

A)  52.8 mi 
B)  66 mi 
C)  3.3 mph 
D)  13.2 mi 
A)  52.8 mi 
B)  66 mi 
C)  3.3 mph 
D)  13.2 mi

Question 12

Simplify.
-

Accepted Answer

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

Question 13

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
-It is recommended that there be at least 9.3 square feet of floor space in a classroom for every student in the class. Find the minimum floor space that 36 students require. Round to the nearest tenth.

Accepted Answer

A)  25.8 square feet 
B)  334.8 square feet 
C)  387.1 square feet 
D)  9.3 square feet 
A)  25.8 square feet 
B)  334.8 square feet 
C)  387.1 square feet 
D)  9.3 square feet

Question 14

Solve for the indicated variable.
-A

Accepted Answer

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

Question 15

Use the distance formula.
-Ashley drove home from school for Thanksgiving. She traveled 112 miles in 2 hours. What was her average speed?

Accepted Answer

A)  53 mph 
B)  110 mph 
C)  56 mph 
D)  61 mph 
A)  53 mph 
B)  110 mph 
C)  56 mph 
D)  61 mph

Question 16

Solve for the indicated variable.
-

Accepted Answer

A)    
B)    
C)  B = 2A - bh 
D)    
A)    
B)    
C)  B = 2A - bh 
D)

Question 17

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your
answer to the nearest hundredth.
-d = rt; find t when d = 560 and t = 8.

Accepted Answer

A)  t = 552 
B)  t = 0.01 
C)  t = 70 
D)  t = 4480 
A)  t = 552 
B)  t = 0.01 
C)  t = 70 
D)  t = 4480

Question 18

For the given expression, identify the terms and the numerical coefficients.
-

Accepted Answer

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

Question 19

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer.
-On an architect's blueprint, 1 inch corresponds to 4 feet. Find the length of a wall represented by a line   inches long on the blueprint. Round to the nearest tenth.

Accepted Answer

A)  7.5 feet 
B)  9 feet 
C)  56.3 feet 
D)  17.8 feet 
A)  7.5 feet 
B)  9 feet 
C)  56.3 feet 
D)  17.8 feet

Question 20

Find the reciprocal.
-

Accepted Answer

A)  k = -4 
B)  k = 8 
C)  k = 7 
D)  k = -9 
A)  k = -4 
B)  k = 8 
C)  k = 7 
D)  k = -9

Solve the equation. -

Identify the equation as linear or nonlinear. -5x - 9y = 1

Simplify. --8 + 9(14 - 6m)

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer. -A bag of fertilizer covers 2000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 380 feet by 240 feet.

Solve the equation and check your solution. -x - 18 = -5

Find the reciprocal. -

Use the simple interest formula. -Alice invested some money at 11% simple interest. At the end of the year the total amount of her original principal and the interest was $9768. How much did she originally invest?

Solve the problem. -In chemistry, the ideal gas law is where P is pressure, T is temperature, V is volume, and K is a constant. Find the missing quantity. V = 5, P = 80, K = 4

Solve the equation. -(y - 8) - (y + 2) = 5y

Use the distance formula. -Chris rode his bike at an average speed of 13.2 miles per hour for 4 hours. How far did he bike?

Simplify. -

Solve for the indicated variable. -A

Use the distance formula. -Ashley drove home from school for Thanksgiving. She traveled 112 miles in 2 hours. What was her average speed?

Solve for the indicated variable. -

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. -d = rt; find t when d = 560 and t = 8.

For the given expression, identify the terms and the numerical coefficients. -

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer. -On an architect's blueprint, 1 inch corresponds to 4 feet. Find the length of a wall represented by a line inches long on the blueprint. Round to the nearest tenth.

Find the reciprocal. -

Real Numbers

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

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 2: Solving Linear Equations and Inequalities

Solve the equation. -

Identify the equation as linear or nonlinear. -5x - 9y = 1

Simplify. --8 + 9(14 - 6m)

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer. -A bag of fertilizer covers 2000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 380 feet by 240 feet.

Solve the equation and check your solution. -x - 18 = -5

Find the reciprocal. -

Use the simple interest formula. -Alice invested some money at 11% simple interest. At the end of the year the total amount of her original principal and the interest was $9768. How much did she originally invest?

Solve the problem. -In chemistry, the ideal gas law is where P is pressure, T is temperature, V is volume, and K is a constant. Find the missing quantity. V = 5, P = 80, K = 4

Solve the equation. -(y - 8) - (y + 2) = 5y

Use the distance formula. -Chris rode his bike at an average speed of 13.2 miles per hour for 4 hours. How far did he bike?

Simplify. -

Solve for the indicated variable. -A

Use the distance formula. -Ashley drove home from school for Thanksgiving. She traveled 112 miles in 2 hours. What was her average speed?

Solve for the indicated variable. -

Use the formula to find the value of the variable indicated. Use a calculator to save time and where necessary, round your answer to the nearest hundredth. -d = rt; find t when d = 560 and t = 8.

For the given expression, identify the terms and the numerical coefficients. -

Write a proportion that can be used to solve the problem. Then solve the equation to obtain the answer. -On an architect's blueprint, 1 inch corresponds to 4 feet. Find the length of a wall represented by a line inches long on the blueprint. Round to the nearest tenth.

Find the reciprocal. -

Real Numbers

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

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