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1 Name: Period: Distance: Distance: Distance: Distance: 1

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3 (-3) = -3 Shoes & Boots 3

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5 1) Write each individual description below as an integer. Model the integer on the number line using an appropriate scale. EVENT INTEGER NUMBER LINE MODEL Open a bank account with $0. Make a $150 deposit. Credit an account for $150. Make a deposit of $25. A bank charge of $5. A withdrawal of $35. 2) Write each word under the appropriate column, Positive Number or Negative Number. Gain Loss Deposit Credit Debit Charge Earn Spend Profit Below Withdraw Owe Receive Fee Above Save Give Positive Number Negative Number 5

6 3) Write an integer to represent each of the following situations: a. A company loses $345,000 in b. You earned $25 for dog sitting c. Jacob owes his dad $5. d. The temperature at the sun s surface is about 5,600. e. The temperature outside is 4 degrees below zero. f. A football player lost 10 yards when he was tackled. 4) Describe a situation that can be modeled by the integer 15. Explain what zero represents in the situation. 5. At 10:00 AM on a winter day in Fairbanks, Alaska, the temperature was -12 F. Find the temperature after each of the following temperature changes. Draw a diagram. a) Between 10:00 AM and noon, the temperature rose 10 F. b) Between noon and 3:00 PM, the temperature rose 15 F. c) Between 3:00 PM and 6:00 PM, the temperature dropped 13 F. d) Between 6:00 PM and 9:00 PM, The temperature dropped 26 F. e) Between 9:00 PM and midnight, the temperature changed by -19 F. 6

7 6) An amount paid to a business for goods or services is a credit, and an amount the business pays for goods, services, or debts is a debit. The chart below shows the total monthly credits and debits for the student store for the first six months of the school year. a) What is the total of the credits for September through February? b) What is the total of the debits for September through February? c) Did the store make or lose money over this time period? Explain your reasoning. d) Adding the credits and debits gives the profit or loss for a given period of time. Tell which months the store showed a loss and which months the store showed a profit. e) Did the store have an overall profit or loss from September through February? How much was it? 7

8 7) The table shows the gains and losses of an investment account. The account was opened with an initial amount of $1000. Make a profit/loss line graph and then answer the questions below. a) Which month did the investment show the largest gain? Largest Loss? b) Between which two months did the investment have the largest gain in money? What was the gain? c) Between which two months did the investment have the largest loss in money? What was the loss? d) What was the difference between the investment's best month and its worst month? e) Calculate the total profit or loss for the Investment. You may use a calculator. 8

9 8) Write the integer that represents the statement. Locate and label each point on the number line below. a) The opposite of a gain of 6. b) The opposite of a deposit of $10. c) The opposite of the opposite of 0. d) The opposite of the opposite of 4. e) The opposite of the opposite of a loss of 5. 9) Write an absolute value number sentence to show each result. a) The varsity football team gained 7 yards on one play and then lost 4 yards. b) The airplane descended 140 feet and then rose 112 feet. c) The squirrel climbs 18 inches up a tree, slipped back 4 inches, and then climbed up 12 inches more. d) The temperature was 72 F at noon. At midnight a cold front moved in, dropping the temperature 12 F. 9

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19 11. Construct a rectangle ABCD on the coordinate plane that satisfies each of the criteria listed below. Identify the coordinate of each of its vertices. Each of the vertices lies in a different quadrant. Its sides are either vertical or horizontal. The perimeter of the rectangle is 28 units. List the coordinates of each vertex: A B C D 12. Using absolute value, write an equation to show how the lengths of the sides of your rectangle provide a perimeter of 28 units. 19

Parallelogram, Rhombus Triangle A = s 2 A = bh A = bh 2 or A = ½ bh Find the missing coordinate

Find the area of the polygon and label with units 2. 1. Square: 2.

20 Name: Period: Score: 11.2 Geometry on the Coordinate Plane Formulas: s = side, b= base, h= height Square Rectangle, Parallelogram, Rhombus Triangle A = s 2 A = bh A = bh 2 or A = ½ bh Find the missing coordinate point, complete the polygon and label the point. Find the area of the polygon and label with units Square: 2. Parallelogram: Missing Coordinate D:. Perimeter: Missing Coordinate D: Area Formula: Area Formula: Side: Height: Base: Area of Parallelogram: Area of Square: 3. Shape: Rectangle Missing Coordinate D: Perimeter: Area Formula: Height: Base: Area: 20

Base: Height: Total area of Trapezoid: Area of

Shape: Area Formula: Height: Base: Area of

21 4. Right Triangle Missing Coordinate C: (located in Quadrant II) Area Formula: Height: Base: 5. Trapezoid: A= ½ h (b1 + b2) Top Base: Bottom Base: Height: Total area of Trapezoid: Area of Right Triangle: 7. Shape: Area Formula: Height: Base: Area of Shape: Distance of Line Segment AB: 8. Shape: Area Formula: Height: Base: Area of Shape: Distance of Line Segment AD: 21

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1 algebraic. expression. at least one operation. Any letter can be used as a variable. 2 + n. combination of numbers and variables

1 algebraic. expression. at least one operation. Any letter can be used as a variable. 2 + n. combination of numbers and variables 1 algebraic expression at least one operation 2 + n r w q Any letter can be used as a variable. combination of numbers and variables DEFINE: A group of numbers, symbols, and variables that represent an