Understanding multi-step problems involving non-linear equations in one variable

Brandon is baking cookies for a school bake sale. If he can make 2 dozen cookies in 23 minutes which is a reasonable estimate of the amount of time it will take him to make 12 dozen cookies?

• between 1 and 2 hours

• between 2 and 3 hours

• between 3 and 4 hours

• between 4 and 5 hours

Train A leaves Westtown and travels at 50 mph toward Smithville, 330 miles away. At the same time, Train B leaves Smithville and travels at 60 mph toward Westtown.After how many hours do the two trains meet?

Raffaele ran 8 miles and then walked 6 miles. If he ran 5 miles per hour faster than he walked and the total time was 2 hours, then how fast did he run? 

• 5 mph
• 10 mph
• 6 mph
• 8 mph

Julianna has 48 bags of treats. She is going to give 3 bags to her teacher. She will then give the rest out equally to her 5 friends. How many bags of treats will each friend receive?

• 40 bags of treats

• 9 bags of treats

• 5 bags of treats

• 50 bags of treats

Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How many students do not take the bus to school?

• 15
• 20
• 30
• 35

A store owner paid a $120 wholesale price for a suit. He needs to make a 35% profit on the sale of the suit. By how much should he markup the price of the suit to make his desired profit?

Hint: What is 35% of $120?

• $42

• $38

• $36

• $41.50

27 6th graders play Fortnite. This is 60% of the entire class. How many kids are in the 6th grade class?

• 45

• 40

• 35

• 30

Translate the phrase into an equation:

Three times a number increased by seven is the quotient of nine and the same number.

• 3x - 7 = 9/x
• 3x + 7 = 9x
• 3x + 7 = 9
• 3x + 7 = 9/x

Bob can paint a fence in 5 hours, and working with Jen, the two of them painted a fence in 2 hours. How long would it have taken Jen to paint the fence alone?

• 4 hours

• 3 hours

• 3 hours and 20 minutes

• 3 hours and 45 minutes

Georgina is trying to build a pool in her backyard. She knows the length of the pool will be 6 feet more than the width. If the total area is 84, which expression can be used to find the width?

• w(w+6)=84

• w(6w)=84

• L(6w)=84

• L(6+w)(w)=84