Name ______
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?
- Ally is 6 years younger than her sister Pam. Ally is 15 years old. What is x, Pam’s age?
- 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.
- 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 – 19in 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 Packages / 2 / 4 / 7Number 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.
- Determine the unit rate for this situation.
Unit Rate ______
- 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.
- 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 ______
- 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 foreach 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.
Part A
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 theperimeter of his land. Show your work.
expression ______yards
Part B
Use your expression to find the perimeter if the value of x is yards.
Show your work.
Perimeter ______