Question 1

Use the division or the multiplication property of equality to solve   . What is the result?

Accepted Answer

A)  23 
B)  24 
C)  96 
D)  97 
E)  95 
A)  23 
B)  24 
C)  96 
D)  97 
E)  95

Question 2

Solve the inequality. Give the result in interval notation.   or

Accepted Answer

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

Question 3

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 180 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Accepted Answer

A)  90 lb 
B)  60 lb 
C)  80 lb 
D)  105 lb 
E)  70 lb 
A)  90 lb 
B)  60 lb 
C)  80 lb 
D)  105 lb 
E)  70 lb

Question 4

Use a property of equality to solve the equation. Then check the result.     __________

Accepted Answer

The answer of Use a property of equality to solve...

Question 5

An amount P , invested at a simple interest rate r , will grow to an amount A in t years, according to the formula A = P ( 1 + r t ). Suppose a man invested some money at 5.9%. If after 5 years, he had $6,151.25 on deposit, what amount did he originally invest? Round your answer to the nearest integer.

Accepted Answer

A)  P = $4,900 
B)  P = $4,950 
C)  P = $4,750 
D)  P = $4,650 
A)  P = $4,900 
B)  P = $4,950 
C)  P = $4,750 
D)  P = $4,650

Question 6

Use an algebraic approach to solve the problem: A board 35 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

Accepted Answer

A)  35 feet 
B)  7 feet 
C)  21 feet 
D)  -7 feet 
E)  14 feet 
A)  35 feet 
B)  7 feet 
C)  21 feet 
D)  -7 feet 
E)  14 feet

Question 7

The city's water department charges $8 per month, plus 44 cents for every 100 gallons of water used. Last month, one homeowner used 1,900 gallons and received a bill for $17.98. Was the billing correct? If the billing is not correct, what is the correct billing amount for this homeowner given these facts?

Accepted Answer

A)  no; the billing amount is $15.59 
B)  yes; the billing amount is $17.98 
C)  no; the billing amount is $16.36 
D)  no; the billing amount is $15.38 
E)  none of these 
A)  no; the billing amount is $15.59 
B)  yes; the billing amount is $17.98 
C)  no; the billing amount is $16.36 
D)  no; the billing amount is $15.38 
E)  none of these

Question 8

Solve the equation. 37 = -5 - 11 b

Accepted Answer

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

Question 9

A solution contains 0.2 liters of sulfuric acid. If this represents 8% of the total amount, find the total amount.

Accepted Answer

A)  3 liters 
B)  3.5 liters 
C)  1.5 liters 
D)  5 liters 
E)  2.5 liters 
A)  3 liters 
B)  3.5 liters 
C)  1.5 liters 
D)  5 liters 
E)  2.5 liters

Question 10

Use an algebraic approach to solve the problem: Suppose that the width of a certain rectangle is 2 inch more than one-fourth of its length. The perimeter of the rectangle is 34 inches. Find the length and width of the rectangle.

Accepted Answer

A)  6 inches wide, 11 inches long 
B)  3 inches wide, 14 inches long 
C)  4 inches wide, 13 inches long 
D)  5 inches wide, 12 inches long 
E)  8 inches wide, 9 inches long 
A)  6 inches wide, 11 inches long 
B)  3 inches wide, 14 inches long 
C)  4 inches wide, 13 inches long 
D)  5 inches wide, 12 inches long 
E)  8 inches wide, 9 inches long

Question 11

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour.

Accepted Answer

A)  Approximately 10 hr 
B)  Approximately 8 hr 
C)  Approximately 12 hr 
D)  Approximately 15 hr 
E)  Approximately 7 hr 
A)  Approximately 10 hr 
B)  Approximately 8 hr 
C)  Approximately 12 hr 
D)  Approximately 15 hr 
E)  Approximately 7 hr

Question 12

The state sales tax rate in Utah is 4.75%. Find the sales tax on a dining room set that sells for $1,100.00.

Accepted Answer

A)  $1,047.75 
B)  $522.50 
C)  $5.23 
D)  $577.50 
E)  $52.25 
A)  $1,047.75 
B)  $522.50 
C)  $5.23 
D)  $577.50 
E)  $52.25

Question 13

Solve the formula for B . Volume of a pyramid:

Accepted Answer

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

Question 14

What percent of 150 is 45?

Accepted Answer

A)  300% 
B)  60% 
C)  30% 
D)  15% 
E)  70% 
A)  300% 
B)  60% 
C)  30% 
D)  15% 
E)  70%

Question 15

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 16

The owner of a candy store wants to make a(n) 16-pound mixture of two candies to sell for $1 per pound. If red licorice bits sell for $0.90 per pound and lemon gumdrops sell for $1.30 per pound, how many pounds of each should be used? NOTE: All the values were rounded to the nearest whole number.

Accepted Answer

A)  4 lb. of lemon gumdrops, 12 lb. of red licorice bits. 
B)  6 lb. of lemon gumdrops, 14 lb. of red licorice bits. 
C)  8 lb. of lemon gumdrops, 6 lb. of red licorice bits. 
D)  7 lb. of lemon gumdrops, 6 lb. of red licorice bits. 
E)  5 lb. of lemon gumdrops, 15 lb. of red licorice bits. 
A)  4 lb. of lemon gumdrops, 12 lb. of red licorice bits. 
B)  6 lb. of lemon gumdrops, 14 lb. of red licorice bits. 
C)  8 lb. of lemon gumdrops, 6 lb. of red licorice bits. 
D)  7 lb. of lemon gumdrops, 6 lb. of red licorice bits. 
E)  5 lb. of lemon gumdrops, 15 lb. of red licorice bits.

Question 17

What number is   of

Accepted Answer

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

Question 18

The illustration below is a schematic diagram of a resistor connected to a voltage source of 60 volts. As a result, the resistor dissipates power in the form of heat. The power P lost when a voltage V is placed across a resistance R is given by the formula   If P is 12 watts and E is 60 volts, find R .

Accepted Answer

A)  R = 300 ohms 
B)  R = 400 ohms 
C)  R = 250 ohms 
D)  R = 320 ohms 
A)  R = 300 ohms 
B)  R = 400 ohms 
C)  R = 250 ohms 
D)  R = 320 ohms

Question 19

Use an equation to solve the problem. A wholesale price for each compact disc is $14 and each has a markup of $0.70. Find the retail price of 40 CDs.

Accepted Answer

A)  $532.00 
B)  $588.00 
C)  $560.00 
D)  $28.00 
E)  $392.00 
A)  $532.00 
B)  $588.00 
C)  $560.00 
D)  $28.00 
E)  $392.00

Question 20

Lured by the ad in the illustration below, a woman invested $11,100, some in a money market account and the rest in a 5-year CD. How much was invested in each account if the income from both investments is $978 per year? First Republic Savings and Loan Account Rate NOW 5.5% Savings 7.5% Money market 8.0% Checking 4.0% 5-year CD 9.0%

Accepted Answer

A)  $2,700 in the money market account, $8,400 in the CD 
B)  $1,900 in the money market account, $9,200 in the CD 
C)  $1,600 in the money market account, $9,500 in the CD 
D)  $1,800 in the money market account, $9,300 in the CD 
E)  $2,100 in the money market account, $9,000 in the CD 
A)  $2,700 in the money market account, $8,400 in the CD 
B)  $1,900 in the money market account, $9,200 in the CD 
C)  $1,600 in the money market account, $9,500 in the CD 
D)  $1,800 in the money market account, $9,300 in the CD 
E)  $2,100 in the money market account, $9,000 in the CD

Use the division or the multiplication property of equality to solve . What is the result?

Solve the inequality. Give the result in interval notation. or

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 180 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Use a property of equality to solve the equation. Then check the result. __________

Use an algebraic approach to solve the problem: A board 35 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

Solve the equation. 37 = -5 - 11 b

A solution contains 0.2 liters of sulfuric acid. If this represents 8% of the total amount, find the total amount.

Use an algebraic approach to solve the problem: Suppose that the width of a certain rectangle is 2 inch more than one-fourth of its length. The perimeter of the rectangle is 34 inches. Find the length and width of the rectangle.

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour.

The state sales tax rate in Utah is 4.75%. Find the sales tax on a dining room set that sells for $1,100.00.

Solve the formula for B . Volume of a pyramid:

What percent of 150 is 45?

The owner of a candy store wants to make a(n) 16-pound mixture of two candies to sell for $1 per pound. If red licorice bits sell for $0.90 per pound and lemon gumdrops sell for $1.30 per pound, how many pounds of each should be used? NOTE: All the values were rounded to the nearest whole number.

What number is of

Use an equation to solve the problem. A wholesale price for each compact disc is $14 and each has a markup of $0.70. Find the retail price of 40 CDs.

Real Numbers and Their Basic Properties

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters

Exam 2: Equations and Inequalities

Use the division or the multiplication property of equality to solve . What is the result?

Solve the inequality. Give the result in interval notation. or

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 180 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Use a property of equality to solve the equation. Then check the result. __________

Use an algebraic approach to solve the problem: A board 35 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

Solve the equation. 37 = -5 - 11 b

A solution contains 0.2 liters of sulfuric acid. If this represents 8% of the total amount, find the total amount.

Use an algebraic approach to solve the problem: Suppose that the width of a certain rectangle is 2 inch more than one-fourth of its length. The perimeter of the rectangle is 34 inches. Find the length and width of the rectangle.

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour.

The state sales tax rate in Utah is 4.75%. Find the sales tax on a dining room set that sells for $1,100.00.

Solve the formula for B . Volume of a pyramid:

What percent of 150 is 45?

The owner of a candy store wants to make a(n) 16-pound mixture of two candies to sell for $1 per pound. If red licorice bits sell for $0.90 per pound and lemon gumdrops sell for $1.30 per pound, how many pounds of each should be used? NOTE: All the values were rounded to the nearest whole number.

What number is of

Use an equation to solve the problem. A wholesale price for each compact disc is $14 and each has a markup of $0.70. Find the retail price of 40 CDs.

Real Numbers and Their Basic Properties

Graphs; Equations of Lines; Functions; Variation

Polynomials

Factoring Polynomials and Solving Equations by Factoring

Rational Expressions and Equations; Ratio and Proportion

Systems of Linear Equations and Inequalities in Two Variables

Roots, Radical Expressions, and Radical Equations

Quadratic Equations, Quadratic Functions, and Complex Numbers

Filters