Lesson 9 8 integer equations
- 1. Name __________________________________ Date ______________________ Mrs. Labuski / Mrs. Rooney Period ________ Lesson 9-8 Integer Equations Remember to use inverse operations to get the integer alone. Don’t forget your integer rules: When adding: If the integers are the same, add the digits, keep the sign If the integers are different, take the difference of the digits, take sign of the larger digit. When subtracting: Keep the first digit, Change subtraction to addition, Change sign of second number If the integers are the same, add the digits, keep the sign If the integers are different, take the difference of the digits, take sign of the larger digit. When multiplying and dividing Multiply or divide as usual If the integers are the same, the product / quotient is positive If the integers are different, the product / quotient is negative 1. x - 4 = -10 2. -2x = 8 3. -3 + x = 12 4. x ÷ 6 = -9 5. -7 + x = -15 6. 35 = -5x Solve each equation. 7. -45 ÷ x = -5 8. x - 9 = -1 9. 36 ÷ x = -6 10. x - 10 ÷ -12 11. -8x = 56 12. x ÷ 7 = -9
- 2. 13. 3x = -36 14. 15 + x = 21 15. -4x = 64 16. x ÷ (-3) = -5 17. x ÷ -12 = -5 18. x - 13 = -9 19. -7 + x = 4 20. -9x = 54 21. 49 ÷ x = -7 Name __________________________________ Date ______________________ Mrs. Labuski / Mrs. Rooney Period ________ Lesson 9-8 Integer Equations Remember to use inverse operations to get the integer alone. Don’t forget your integer rules: When adding: If the integers are the same, add the digits, keep the sign If the integers are different, take the difference of the digits, take sign of the larger digit. When subtracting: Keep the first digit, Change subtraction to addition, Change sign of second number If the integers are the same, add the digits, keep the sign If the integers are different, take the difference of the digits, take sign of the larger digit. When multiplying and dividing Multiply or divide as usual If the integers are the same, the product / quotient is positive If the integers are different, the product / quotient is negative 1. x - 4 = -10 2. -2x = 8 +4 +4 ÷(-2) ÷(-2) x = -6 x = -4 3. -3 + x = 12 4. x ÷ 6 = -9 +3 +3 •6 •6 x = 15 x = -54 5. -7 + x = -15 6. 35 = -5x +7 +7 ÷(-5) ÷(-5) x = -8 -7 = x
- 3. Solve each equation. For division, the inverse operation only works when the first digit (dividend) is x For example: -45 ÷ x = -5 inverse operation will not work x ÷ 7 = -9 inverse operation will work 7. -45 ÷ x = -5 8. x - 9 = -1 9. 36 ÷ x = -6 x = 9 +9 +9 x = -6 x = -8 10. x - 10 = -12 11. -8x = 56 12. x ÷ 7 = -9 +10 +10 ÷(-8) ÷(-8) •7 •7 x = -2 x = -7 x = -63 13. 3x = -36 14. 15 + x = 21 15. -4x = 64 ÷3 ÷3 -15 -15 ÷(-4) ÷(-4) x = -12 x= 6 x = -16 16. x ÷ (-3) = -5 17. x ÷ -12 = -5 18. x - 13 = -9 • (-3) • (-3) • (-12) • (-12) +13 +13 x = 15 x = 60 x=4 19. -7 + x = 4 20. -9x = 54 21. 49 ÷ x = -7 +(-7) +(-7) ÷(-9) ÷(-9) x = -7 x = -3 x = -6