NAME DATE PERIOD Study Guide and Intervention Adding Integers For integers with the same sign: the sum of two positive integers is positive. the sum of two negative integers is negative. For integers with different signs, subtract their absolute values. The sum is: positive if the positive integer has the greater absolute value. negative if the negative integer has the greater absolute value. To add integers, it is helpful to use counters or a number line. Find 4 (6). Method 1 Use counters. Method 2 Use a number line. Combine a set of 4 positive counters Start at 0. and a set of 6 negative counters on a mat. Move 4 units right. Then move 6 units left. 6 4 3 2 1 0 1 2 3 4 5 4 (6) 2 1 4 (6) 4 (6) 2 Add. 1. 5 (2) 2. 8 1 3. 7 10 4. 16 (11) 5. 22 (7) 6. 50 50 7. 10 (10) 8. 100 (25) 9. 35 20 Evaluate each expression if a 8, b 8, and c 4. 10. a 15 11. b (9) 12. a b 13. b c 14. 10 c 15. 12 b Glencoe/McGraw-Hill 144 Mathematics: Applications and Concepts, Course 2
NAME DATE PERIOD Study Guide and Intervention Subtracting Integers To subtract an integer, add its opposite. Find 6 9. 6 9 6 (9) To subtract 9, add 9. 3 Simplify. Lesson 3 5 Find 10 (12). 10 (12) 10 12 To subtract 12, add 12. 2 Simplify. Evaluate a b if a 3 and b 7. a b 3 7 Replace a with 3 and b with 7. 3 (7) To subtract 7, add 7. 10 Simplify. Subtract. 1. 7 9 2. 20 (6) 3. 10 4 4. 0 12 5. 7 8 6. 13 18 7. 20 (5) 8. 8 (6) 9. 25 (14) 10. 75 50 11. 15 65 12. 19 (10) Evaluate each expression if m 2, n 10, and p 5. 13. m 6 14. 9 n 15. p (8) 16. p m 17. m n 18. 25 p Glencoe/McGraw-Hill 149 Mathematics: Applications and Concepts, Course 2
NAME DATE PERIOD Study Guide and Intervention Multiplying Integers The product of two integers with different signs is negative. The product of two integers with the same sign is positive. Multiply 5(2). 5(2) 10 The integers have different signs. The product is negative. Multiply 3(7). 3(7) 21 The integers have different signs. The product is negative. Multiply 6(9). 6(9) 54 The integers have the same sign. The product is positive. Multiply (7) 2. (7) 2 (7)(7) 49 There are 2 factors of 7. The product is positive. Simplify 2(6c). 2(6c) (2 6)c 12c Associative Property of Multiplication. Simplify. 6 2(5x) (2 5)x 10x Simplify 2(5x). Associative Propery of Multiplication. Simplify. Multiply. 1. 5(8) 2. 3(7) 3. 10(8) 4. 8(3) 5. 12(12) 6. (8) 2 ALGEBRA Simplify each expression. 7. 5(7a) 8. 3(2x) 9. 4(6f) 10. 7(6b) 11. 6(3y) 12. 7(8g) ALGEBRA Evaluate each expression if a 3, b 4, and c 5. 13. 2a 14. 9b 15. ab 16. 3ac 17. 2c 2 18. abc Glencoe/McGraw-Hill 154 Mathematics: Applications and Concepts, Course 2
NAME DATE PERIOD Study Guide and Intervention Dividing Integers The quotient of two integers with different signs is negative. The quotient of two integers with the same sign is positive. Divide 30 (5). 30 (5) The integers have different signs. 30 (5) 6 The quotient is negative. Divide 100 (5). 100 (5) 100 (5) 20 The integers have the same sign. The quotient is positive. Divide. 1. 12 4 2. 14 (7) 18 3. 2 4. 6 (3) Lesson 3 7 5. 10 10 6. 8 0 20 7. 350 (25) 8. 420 (3) 9. 5 4 4 0 5 10. 256 1 6 ALGEBRA Evaluate each expression if d 24, e 4, and f 8. 11. 12 e 12. 40 f 13. d 6 14. d e 15. f e 16. e 2 f 17. d 18. ef 2 e 19. f e 2 2 20. d e f Glencoe/McGraw-Hill 159 Mathematics: Applications and Concepts, Course 2
MATH-7 Integer Arithmetic Exam not valid for Paper Pencil Test Sessions [Exam ID:1S4XBV 1 What is the value of -27 - (-13)? A 14 B -40 C -14 D 40 2 A submarine is 40 feet below the surface of the water. The sub rises 28 feet, goes down 7 feet and finally rises another 17 feet. If there are no other changes, the sub is A 44 feet above the surface of the water B 2 feet above the surface of the water C 44 feet below the surface of the water D 2 feet below the surface of the water 3 Which expression is equivalent to -7 - (-3)? A -7 + 3 B -7 + -3 C 3 - (-7) D -3 - (-7)
4 Grace recorded the average temperature outside for 3 days. What is the difference in temperature between Monday and Tuesday? A 29 F B 17 F C 12 F D 9 F 5 Jim went scuba diving with Sam. Jim was 45 feet below the surface and Sam was 10 feet above Jim. What was Sam's location? A 55 feet below the surface B 35 feet above the surface C 35 feet below the surface D 55 feet above the surface 6 Hank recorded the outside temperature of his classroom for a week. What is the average temperature outside of Hank's classroom for the week? A 2 F B 6 F C 9 F D 10 F
7 Use the number line to answer the question. True or False: The result of the expression X + Y will be positive. A False B True 8 The temperature one night was -3 degrees Celcius at 1:00 am. If the temperature dropped 2 degrees each hour for 4 hours, what was the temperature at 5:00 am? A -11 0 C B -5 0 C C 3 0 C D 5 0 C 9 What is the value of the expression -34-12 2? A -10 C -92 B -44 D -58 10 Directions: Type the answer in the box. What is the value of the expression 2(15 19) + 5? 11 Which of the following is true? A 27 (-10) = 270 B (-27) + 10 = -17 C (-27) -10 = -2.7 D (-27) 10 = -17 12 What is the value of the expression (-15) 10 + 2? A -27 B -7 C -23 D -3
13 Directions: Type your answer in the box. On a day, the temperature of a city in the morning was 3 C. By the evening, the temperature dropped to -2 C. By how much did the temperature drop during the day? C 14 Which list represents all expressions that are equivalent to: -3-6? A g, h, j B f, g C i, k D h, j 15 Which model represents the expression: -4 x 3? A C B D 16 Directions: Click on the correct answers. The temperature of a city on Monday is -4 C. The temperature on Sunday was as many degrees above 0 C as Monday s is below 0 C. Which expressions could be used to find the difference between the temperatures, in C? 4 + (-4) 0 + 4 (-4) + 0 4 - (-4) 4 + 4 17 Select each number that can be placed in the blank to make the value of this expression a positive number. -15-2 -3-17 -10 20-31
18 Directions: Click on the correct answers. Identify situations that involve opposite quantities adding up to zero. Lending $4 and borrowing $4 Hiking 10 feet due north, then hiking 10 feet due south Climbing up 6 feet and climbing down 4 feet Ascending 2 feet and descending 2 feet Earning $3 and spending $5 19 Directions: Click on the correct answers. You must select all of the correct answers. Which two expressions are represented by the following model? -5 x -4-4 x 5 4 x 5-4 x -5 5 x -4 5 x 4 20 Directions: Select all the correct answers that make the following statement true. Select the two integers that will result in a positive number. -5 - -5-7 -17 17-3 10 21 Which expression will result in a negative number? A -9 + (-3) B -5 + 6 C 13 + (-9) D -8 + 9
22 Evaluate: -7 + 6(2-5) A -3 B 0 C -25 D 11 23 Directions: Type your answer in the box given. Mrs. Ligh has $55 in her checking account. She withdrawls $40 on Monday, and then deposits $68 on Tuesday. On Friday, she goes to Target and spends $115. How much money does Mrs. Ligh have in her checking after shopping at Target? $ 24 Which of the following equations is NOT true? A -5 - (-8) = -13 B -5 - (-7) = 2 C -9 - (-4) = -5 D -9-7= -16 25 On Tuesday the temperature was -4 C. On Wednesday it was 7 warmer. What was the temperature on Wednesday? A -3 C B 3 C C -11 C D 11 C