Seventh Grade Summer Assignment
Name Date
DIRECTIONS: Complete this assignment to the best of your ability. Try EVERY problem. Do NOT leave any problem blank. Make sure to do ALL work in your homework notebook (Spiral) to receive full credit. This assignment will be worth two homework grades.
RATIO and PROPORTIONAL RELATIONSHIPS
The table shows the production results for three factories.
ProductionFactory A / 10,000 cars and 2,500 trucks manufactured in 10 months
Factory B / 6,000 cars and 1,200 trucks manufactured in 9 months
Factory C / 9,000 cars and 1,800 trucks manufactured in 8 months.
a. Write a UNIT RATE that represents the total vehicle production at each factory.
b. Which factory has the fastest rate of production?
2. Taylor and Anya live 63 miles apart. Sometimes on Saturday, they ride bikes toward each other’s houses and meet somewhere in between. Taylor is a very consistent rider. She finds that her speed is always close to 10 miles per hour. Anya rides more slowly than Taylor, but is working on becoming faster as the weeks go by.
a. On Saturday in July, two friends set out on their bikes at 8.a.m. Taylor rides at a rate of 10 miles per hour, and Anya rides at 7.5 miles per hour. After one hour, how far apart are the two friends?
b. Make a table showing how far apart the two friends are after zero hours, one hour, two hours and three hours.
3. The students in Mr. Hill’s class played games at recess
6 boys played soccer
4 girls played soccer
2 boys jumped rope
8 girls jumped rope
a. Compare the number of boys who played soccer and jump rope using a ratio.
b. Compare the number of girls who played soccer to the number of boys who played soccer using a ratio.
4. Hippos love Pumpkins
a. Hippos sometimes eat pumpkins as a special treat. If 3 hippos eat 5 pumpkins, how many pumpkins per hippo is that?
b. Lindy makes 24- jelly-bread sandwiches with a 12-ounce jar of jelly. How many ounces of jelly per sandwich is that?
c. Jane bought 350 tissue boxes for the whole year. How many tissue boxes is that per month?
d. Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas.
How many goats per pizza would that be?
The Number System
5. Alice, Raul, and Maria are baking cookies together. They need 34 cup of flour and 13cup of butter to make a dozen cookies. They each brought the ingredients they had at home. Alice brought 2 cups of flour and 14 cup of butter, Raul brought 1 cup of flour and 12 cup of butter and Maria brought 114 cups of flour and 34 cup of butter. If the students have plenty of the other ingredients they need (sugar, salt, baking soda, etc.) How many whole batches of a dozen cookies can they make?
6. Use the fact that 13 x 17 = 221 to find the following.
a. 13 x 1.7
b. 130 x 17
c. 13 x 1700
d. 1.3 x 1.7
7. Multiples and Common Multiples
a. List all the multiples of 8 that are less than or equal to 100.
b. List all multiple of 12 that are less than or equal to 100.
c. What are the common multiples of 8 and 12 from the two lists?
d. What is the least common multiple of 8 and 12?
e. Lyla noticed that the lists of common multiples have a pattern. Describe a pattern in the list of numbers that Lyla might have seen.
8.
a. Find and label the numbers 43, 54, - 23, - 34 on the number line.
b. For each of the following, state which inequality is true. Use the number line diagram to help explain your answers.
c. Is - 34 closer to 0 or is 54 ? Explain how you know.
9. Two teams with four members each are playing paintball. The location of each team member is given as an ordered pair (x,y). Each unit on a coordinate plane represents 5 yards. Home base is located at (0,0).
Equations and Expressions
11. Which of the following expressions are equivalent? Why? If an expression has no match, write an equivalent expression to match it.
a. 2(x + 4)
b. 8 + 2x
c. 2x + 4
d. 3(x+4) – (4 + x)
e. x + 4
12. Stephanie is helping her band collect money to fund a field trip. The band decides to sell boxes of chocolate bars. Each bar sells for $1.50 and each box contains 20 bars. Below is a partial table on monies collected for different numbers of boxes sold.
Boxes soldb / Money collected
m
1 / $30.00
2
3
4
5 / $150.00
6
7
8
a. Complete the table for the values of m.
b. Write an equation for the amount of money, that
will be collected if b boxes of chocolate bars are sold.
c. Calculate how much money will be collected if 100
boxes of chocolate bars are sold.
13. You and your cousins are going to the county fair. The signs below show the height restrictions for several attractions.
a. Write an inequality that represents each height restriction for EACH attraction.
b Your cousin is 3.5 feet tall, is he tall enough for ALL the attractions?
Geometry
14. The figures show several different kinds of tents.
a. Make a sketch of each tent and label the shape. Example top, bottom, right side, left side, back, and front.
b. Each tent is made entirely of nylon, including the bottom. Which tent uses the greatest amount of nylon in its construction? Which uses the least amount? Justify your answers.
Statistics and Probability
15. Twenty five people are surveyed for a game show and asked the question, “at what age did you get your first job?” The responses are below in the box and whisker plot.
a. What portion of the responses represent an age of at least 17 years old?
b. Can you determine the range of the data? If so, find it.
c. Can you determine which response is most frequent? If so, find it.
d. One of the line plots below represents the same set of data as the box and whisker plot.
Which line plot represents
The data? Explain.
16. You want to know whether students in your class or your friend’s class watch more movies every month. The line plots show the number of movies each student in your class and each student in your friend’s class watched during the past month.