Exam 3: Applications of Algebra

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Seven more than five times a number is that number increased by 35.

Express the statement as an algebraic expression. -14 less than the product of 9 and a number

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -The sum of a number and 2 is 7.

Express the statement as an algebraic expression. -One-sixth the height , f

Write the indicated expression. -The price of Investor Growth mutual fund is 23% greater than the price of Investor Value mutual fund. Write an expression for the sum of Growth and Values mutual funds. Let n represent the Investor Value.

Express the statement as an algebraic expression. -Twice the sum of a number and 5

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -At a gourmet nut shop, nuts are sold in bulk. Cashews sell for $1.30 per pound and macadamia nuts sell for $8.55 per pound. Lee wishes to purchase 5 pounds of mixed nuts by mixing 3.5 pounds of cashews and 1.5 Pounds of macadamia nuts. What will be the price per pound of the mixture?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -When Milo got promoted at work, he received a 10% pay raise. He now earns $33,000 per year. What was his annual salary before his raise?

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -City A has an elevation of 15,574 feet above sea level while city B has an elevation of 18,476 feet below sea level. How much higher is City A than City B?

Solve the problem. -A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 390 feet. Find the length and width of The fenced-in area.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Dave can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 30 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on level ground.

Solve the problem. -Angle A and angle B are complementary angles and angle A is 10° more than three times angle B. Find the measures of angle A and angle B.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $62 under this promotional deal, how many minutes of phone calls did he make? Round to The nearest integer, if necessary.

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -A car rental agency advertised renting a luxury, full-size car for $29.95 per day and $0.19 per mile. If you rent this car for 3 days, how many whole miles can you drive if you only have $200 to spend.

Write an equation to represent the problem. -Markus Lawson is 4 years older than three times Pam Lincoln's age. The sum of their ages is 73. Let a represent Pam's age.

Express the statement as an algebraic expression. -26 less than a number

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. -Andrea decided to rollerblade to her mother's house. Five blocks from her home, one of the wheels on her skate broke, and she had to walk the remaining six blocks to her mother's. She could not repair her skate and had to Walk all the way back home. How many more blocks did Andrea walk than she skated?

Write an equation to represent the problem. -The difference of twice a number and 10 is 14.

Solve the problem. -Angle A and angle B are supplementary angles and angle A is 15° less than four times angle B. Find the measures of angle A and angle B.

Write an equation to represent the problem. -Lauren Wolf purchased a dress at a 20% off sale. She paid $114 for the dress. Let p represent the price of the dress.