Unit Test — Unit test Answers

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

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

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?

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes. If the river flows at 4 mph, how fast can Samantha swim in still water?

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

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

Which phrase represents the algebraic expression 5x - 9?

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

Given the equation what is the value of x?

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?

Which is the solution set of the compound inequality and

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

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

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?

The formula for the volume of a sphere is . What is the formula solved for r?

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

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

What is the solution to the equation 3(x – 1) – 2(2x + 1) = 8(x – 1)?

What is the solution to the equation ?

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?