Study Guide for Semester Exam – 7th Grade Math
Study Guide for 1st Semester Exam – 7th Grade Math CRONNELLY
I. Directions: Be able to write equivalent expressions.
a. – (- ½ )
b. + ( - 3 1/3)
c. + ( + 4 1/8)
II. Directions: Be able to take a ratio and write an equation.
a. The ratio of teachers to students needs to be 1:30. If there were 120 students, how many teachers would be needed?
b. To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you have 24 cups of water?
c. An amusement park line is moving about 4 feet every 15 minutes. At this rate, approximately how long will it take for a person at the back of the 50- foot line to reach the front of the line?
III. Directions: Be able to identify equivalent expressions to the one provided in the problem.
1. The Ross family recently dined at an Italian restaurant. Each of the four family members ordered a pasta dish that cost $11.50, a drink that cost $1.50, and dessert that cost $2.75.
a. Write an expression that could be used to calculate the cost of the Ross’ dinner before adding tax and a tip.
b. What was the cost of dining out for the Ross family?
2. Madison College conducted a three-day orientation for incoming freshmen. Each day, an average of 110 students attended the morning session and an average of 160 students
attended the afternoon session.
a. Write an expression that could be used to determine the total number of incoming freshmen who attended the orientation.
b. What was the attendance for all three days of orientation?
3. 15(f + ½ )
IV. Directions: Determine if a table shows a proportional relationship between x and y.
1)
|x |y |
|2 |4 |
|3 |6 |
|4 |8 |
|5 |10 |
How does the table go from x to y in each case?
Is it the same for each?
So, is it proportional?
What is the constant of proportionality?
2)
|x |1 |2 |3 |4 |5 |
|y |3 |6 |9 |11 |13 |
How does the table go from x to y in each case?
Is it the same for each?
So, is it proportional?
What is the constant of proportionality?
3)
|X |Y |
|3 |4.5 |
|4 |6 |
|5 |7.5 |
|8 |12 |
|9 |13.5 |
How does the table go from x to y in each case?
Is it the same for each?
So, is it proportional?
What is the constant of proportionality?
V. Determine the correct value to complete the equation.
Select the correct number from each drop-down menu to complete the equation. (7.NS.1d; Chapter 3; PARCC #6; 2 points)
[pic]
Part A Part B
|A. -7[pic] |
|B. 7[pic] |
|C. 1 [pic] |
|D. [pic] |
|A. -7[pic] |
|B. 7[pic] |
|C. 1 [pic] |
|D. [pic] |
VI. Determine who is correct and explain why.
1. It was a very freaky weather day. The temperature started out at 9°C in the morning and went to -13°C at noon. It stayed at that temperature for six hours and then rose 7°C. Meaghan believes the temperature is 29 below the freezing point. Sam believes the temperature is 6 below the freezing point. Who is correct? How far below the freezing point (0°C) was the temperature at 6 p.m.?
VI. Directions: Solve the following problems.
a. 2.1 − (−9.4) − 8.7
b. 1.6 + (−3.2) + 0.5
c. (-2.6) – (-7.2x) + (-4.9) + (8.4) – (5.3x) + (12.3)
VIII. Directions: Solve the following problems by using the GCF.
a. 102k5m2 - 51k4m + 153k2m2
b. 14x²y³+ 21xy4 – 28x³y²
c. 38u³v + -20u²v²
IX. Hobbs uses [pic] of a 1 lb. bag of kitty litter every 2 weeks. Pepper uses [pic] of a 1 lb. bag of kitty litter every 2 weeks. The kitty litter costs $10.97 for 1 lb. How much does it cost Brenda for a 56 day supply of kitty litter for her 2 cats? Make sure you show all of your work.
X. Monica’s parents gave her a prepaid debit card to use for her monthly expenses. At the beginning of each month her parents add $95 to the card. The card can have a negative balance, but if it does she is charged a $15 service fee. Monica’s monthly expenses are shown below. Calculate Monica’s balance at the end of each month.
Monica’s Monthly (Reoccurring) Expenses:
Cell Phone Bill: $45
Monica’s October Expenses:
Went to the movies for $13.75
Bought three Kit Kats at $0.75 each
Monica’s November Expenses:
Went to the movies and bought popcorn for $21.50
Went shopping and spent $29.14
Monica is hoping to buy a $80 ticket to the Brad Paisley concert at the end of November. Will she have enough money on her card to purchase the ticket?
XI. Directions: Determine if the value for each of the choices below will result in a positive or negative value. Explain the answer you choose.
Assuming all marks are equally spaced, if zero lies between a and b, list the result of each scenario.
A) a – b D) ab + 1
B) – a E) -b
C) b – a F) a + b
XII. Directions: Solve real world word problems involving integers and rational numbers.
1. Katherine is very interested in cryogenics (the science of very low temperatures). With the help of her science teacher she is doing an experiment on the affect of low temperatures on bacteria. She cools one sample of bacteria to a temperature of -51°C and another to -76°C. What was the temperature difference in the two experiments?
2. In golf, the average score a good player should be able to achieve is called "par." Par for a whole course is calculated by adding up the par scores for each hole. Scores in golf are often expressed at some number either greater than or less than par. Ms. Floop is having a pretty good day at the Megalopolis City Golf Club. Her score so far after 15 holes is -3. If par for 15 holes is 63, what is her score?
A)65
B)66
C)60
D)63
XIII. The coordinates of point P are (6,9). The coordinates of point q are (9, y1). What is the value of y, if the coordinates of points P and Q are in a proportional relationship? After finding the value of y, plot point P and point Q on the graph below.
(7.RP.2a; Chapter 4; PARCC#15; 2 points)
XIV. Rosy waxes [pic] of her car with [pic] bottle of car wax. At this rate, what fraction of the bottle of car wax will Rosy use to wax her entire car? (7.RP.1; Chapter 4; PARCC#4; 1 point)
XV. Mrs. Jakeman is teaching her class about probability. She has ten cards, numbered 1 to 10, which she mixes up and stands on a shelf turned so that the numbers do not show. Mrs. Jakeman turns the cards over one at a time. The class has to guess whether the next card will have a higher number than the last one turned or a lower number.
(7.SP.5; Lesson 1.2.1; 4 points)
[pic]
Part A: Would you expect the next number to be higher than 8 or lower? Explain why you made this decision.
[pic]
Part B: The next card is number 5. What is the probability that the next card will be a lower number? Explain how you know.
[pic]
XVI. A train traveled [pic] of the distance between two cities in [pic] of an hour. At this rate, what fraction of the distance between the two cities can the train travel in one hour?
(7.RP.1; Chapter 4; PARCC#4; 1 point)
-----------------------
-2
a
0
b
2
8
5
8
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