Download Math 7 Summer Work Part V Mixed Review

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Math 7 Summer Work Mixed Review Part V
1.
Which integer represents a 6-yard loss?
2.
What is the value of | 7 | + | –2 |?
3.
Which integers represent A and B on the number line?
4.
Which value of q makes –18 – (–5) = q a true sentence?
5.
A mermaid dives towards deeper water at a rate of 20 inches per
second. If the mermaid continues at this rate for a total of 3
seconds, which expression represents this situation?
6.
Sal has $29 in his wallet. He pays $13 to have his car washed. Write
an expression that represents this situation.
7.
The highest point is 860 feet. The lowest point is –20 feet. What is
the difference in feet between the highest and lowest points?
8.
An archaeologist descends 40 feet into a canyon, then climbs up 3
feet. What is his final position?
9.
By the end of the third quarter of a football game, Sam had gained
80 yards and had lost 30 yards. If Sam lost an additional 13 yards
and gained 20 yards in the fourth quarter, write an equation that
could be used to represent his total yardage for the game.
10.
Pablo and three of his friends are playing paintball. The table shows
their scores at the
end of one round. By how many points is Marsella beating Winston?
11.
Kelly made six batches of cookies. Her friends asked her to make an
extra batch. She used
cups of sugar and needs another
cups for the extra batch. How many cups of sugar will Kelly use
altogether?
12.
The table shows the distance Kelly swam over a four-day period.
What was the total distance, in miles, that Kelly swam for Wednesday
and Thursday?
13.
Place the following in order from least to greatest: .08, -8,
, .888…
14.
Jenny is trying to find the product of 2 integers with different signs.
What sign should her answer be?
15.
Give an example of a number that is NOT an integer.
16.
Which integer represents the number shown on the thermometer below?
17.
Write in standard form (simplify): (3x2 + 5x – 2) – (8x2 – 6x + 7)
18.
Six times a number decreased by 9 is 39. Find the number.
19.
What is the value of the expression r2 + s3 when r = -3 and s = 2?
20.
Hector spent $20 for a tube of paint and 4 brushes. The tube of paint
cost $8. Write an equation that can be used to find b, the cost of
each brush.
21.
Which expression is equivalent to –3(x + 12)?
22. Which of the following problems can be solved using the equation x – 6
= 15?
A. Ally is 6 years younger than her sister Pam. Ally is 15 years old.
What is x, Pam’s age?
B. David’s portion of the bill is $6 more than Jaleel’s portion of the bill.
If Jaleel pays $6,
find x, the amount in dollars that David pays.
C. The sum of two numbers is 15. If one of the numbers is 6, what is x,
the other number?
D.
Calvin owns 15 CDs. If he gave 6 of them to a friend, what is x, the
number of CDs he
has left?
23.
What is –4y + 11 + 3y – 19 in standard (simplified) form?
24.
What is the value of 5x – 2y if x = 4 and y = –3 ?
25.
For a warm up, Tommy runs 200 yards less than half the maximum
distance he can run. This is represented by the equation r =
– 200,
where x represents the maximum distance he can run and r represents
the distance run during his warm up. If Tommy ran 1,500 yards during
his warm up, what is the maximum distance he can run?
26.
Pete spends $0.50 for every song he downloads to his cell phone.
Write an inequality to represent the number of songs he can download
if he has at least $2.
27.
Graph the solution set of a + 7  –2 ?
28.
Give an example of a monomial.
29.
Write the expression in standard form (simplify): 3k2 + 8k - 2 + 4k2
+5
30.
Give an example of “like terms”.
31.
Write the expression in standard form (simplify).
3y2 - 12y2
32.
Write the expression in standard form (simplify).
3(y – 7)
33.
What value of x makes the equation below true?
6x + 20 + 3x - 2 = 27
34.
The equation 2(3x + 5) = 6x + 10 is an example of which property?
35.
What value of x is the solution to the equation below.
3+ x=7
36.
Christina has x quarters and y dimes in her pocket. Write an
expression that represents the total value (in dollars and cents) of the coins
in her pocket?
37.
Solve for x: 4x + 11 + x = -4
38.
The information on the following table represents a proportional
relationship. Find the missing value.
Number of
2
4
7
Packages
Number of Raisins
10
20
?
Directions: Please answer all questions showing all work. Each question is
worth 4 points and partial credit will be awarded. Good luck.
1.
Olivia bought 6 containers of yogurt for $12.
a.
Determine the unit rate for this situation.
Unit Rate ________________________
b.
Using your info from part A, determine how much Olivia should
expect to pay for 10 containers of this type of yogurt.
Answer _________________________
2.
Over the summer, your neighbor asks you to help them seed a section
of their lawn. They give you a top-view blueprint of their property with a
legend that states 2 inches of length corresponds to an actual length of 24
feet.
a. If the dimensions of the section of grass on the blueprint are 10
inches by 12 inches, what are the actual dimensions in feet?
Answer ________________________
b. You are asked to go buy bags of seed. One bag covers 500 square
feet. How many bags must you purchase to complete this project?
Answer ______________________
3.
Use the Distributive Property to simplify 2(7x+3y) - 3(5x-6y).
Place your answer in standard (simplified) form.
4.
Write “five less than three times a number” as an algebraic expression.
Expression _____________________________
Evaluate the expression above when the value of the unknown number is 3.
Show your work.
5.
Ron owns a flower shop in the shopping mall. The flower most
frequently ordered from his flower shop is the rose. For each order
of roses, Ron charges $5.00 for each rose plus $4.00 for delivery
service. Ron made a delivery of roses for which he charged $59.00.
Write an equation that you could use to find how many roses, r, he
delivered.
Solve your equation to find the number of roses he delivered. Show
your work.
6.
Mr. Smith owns plot of land that is in the shape of a trapezoid. The
dimensions of
the plot are shown in the diagram below.
(10x + 4) yds
(7x + 3) yds
Part A
(7x + 3) yds
(4x) yds
Mr. Smith would like to construct a fence around the plot of land to
keep out trespassers. Write a linear expression in simplest form to
represent the perimeter of his land. Show your work.
expression ________________________yards
Part B
Use your expression to find the perimeter if the value of x is 8
yards.
Show your work.
Perimeter _________
1
2