Unit 1 TEST: Equations Answers

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 ?

What is the solution to the inequality ?

Jamilla solved the inequality and graphed the solution as shown below. What is the value of b and the missing symbol in Jamilla’s inequality?

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?

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

Sherie bought a beach towel that normally costs $44 but was on sale for half price. She also bought a beach hat that was on sale for $12 off. Before tax, her total cost was $38. What was the regular price of the beach hat?

A boat has a speed of 9 miles per hour in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current in miles per hour?

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

Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a salad blend containing 55% spinach. The resulting salad contains 50% spinach.How many cups of salad are in the resulting mixture?

What is the solution to the equation ?

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?

Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?

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

It took Amir 2 hours to hike 5 miles. On the first part of the hike, Amir averaged 3 miles per hour. For the second part of the hike, the terrain was more difficult so his average speed decreased to 1.5 mile per hour.

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?

Given the equation what is the value of x?

Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.

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

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%?