Relations and Functions Answers

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add? Original(Gallons)Added(Gallons)New(Gallons)Amount of Detergent1.980 Amount of Solution11g

Eight less than four times a number is less than 56. What are the possible values of that number?

Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a mile, how much faster does Julia ride than Katie? Distance (mi)Rate (mph)Time (hr)Julia20 1.2Katie20 1.6

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

Which algebraic expression represents the phrase “seven more than half of a number”?

Which phrase represents the algebraic expression 5x - 9?

Which is the solution set of the compound inequality and

Which property of real numbers is shown below?3 + ((-5) + 6) = (3 + (-5)) + 6

Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find x, the number of miles per hour he averages on his way home?

Paul can install a 300-square-foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long would it take Paul and Matt to install the floor working together?

Which of the following is an example of why irrational numbers are not closed under addition?

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?

Which property of real numbers is shown below?-6 + 6 = 0

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?

How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? Original (L)Added (L)New (L)Amount of Bleach2.520 Amount of Solution18x

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together? Rate(Lawns per Hour)Time(Hours)Fraction CompletedBethanyxxColinxx

Which of the following sets is closed under division?

Aidan drives to school and back each day. The school is 16 miles from his home. He averages 40 miles per hour on his way to school. If his total trip takes 1 hour, at approximately what average speed does Aidan drive home? Distance (mi)Rate (mph)Time (hr)Trip to School1640 Trip Home16x

The table below represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree’s house to the library? Distance (mi)Rate (mph)Time (hr)Trip to Libraryx6 mphTrip to Homex12 mph

Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers?