Name: ______Period: ______Date: ______
Problem Solving HW- Due Friday 2-20
1. Logan spends 25% of his weekly allowance on two banana splits. Banana splits cost $3.25 each at Frozen Treats. How much money does Logan receive for his weekly allowance?
Record your answer and fill in the bubbles on the grid below. Be sure the use the correct place value.
2. Juan drives an 18-wheeler transporting 7 new vehicles to a dealership. If the weight per vehicle is 3,500 pounds, write a proportion to find the weight, in tons, of all the vehicles Juan transports.
3. Mrs. Killian decorates a small square bulletin board in her classroom. The bulletin board has a perimeter of 8 yards. What is the length of one side of the bulletin board, in inches?
4. Which of the following equations are true?
I. 12 cm = 0.12 m
II. 3,400 mm = 34 cm
III. 5.60 L = 5,600 ML
IV. 78.9 g = 0.0789 kg
a. I only
b. III and IV only
c. I, III, IV only
d. I, II, III only
5. The school cafeteria offered a choice of pizza or nachos to sixth-grade students. Seventy-seven students chose pizza. This represented 35% of the sixth-grade class. How many students are in the sixth grade?
6. Write an equation to represent the relationship between the independent and dependent quantities in the following table.
x / 1 / 2 / 3 / 4y / ¯3 / ¯2 / ¯1 / 0
7. Brady recorded the number and color of cars in the parking lot. The shaded model represents the percent of white vehicles counted in the parking lot.
If Brady counted a total of 81 white cars, how many cars did he count in the parking lot?
a. 180
b. 100
c. 126
d. 36
8. Simplify the following expression.
10 – 7.2 + 0.4 • 52 ÷ 10
9. Six of the 16 students in Mr. Rigsby’s classroom after school are serving detention for tardies. The rest of the students are there for tutoring. Using the grid below, model the percent of students in Mr. Rigsby’s classroom after school are there for tutoring.
a. 16%
b. 37.5%
c. 60%
d. 62.5%
10. Which property best explains the reason the two expressions below are equivalent?
3(x + 8) = 3x + 3(8)
a. Distributive property
b. Commutative property
c. Associative property
d. Not here