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MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations Name: Date: Answer Key Unit 5 Assignment Award points for answers as shown below. Starter feedback for correct and incorrect answers is in red. Use or adapt the feedback in this Answer Key as you grade each student paper. If you have suggestions for improving this key, send them to [email protected]. Solve the following problems: (1 point) 1. Write three million four hundred thousand in standard form. Answer: 3,400,000 (1 point) 2. Write 4000 + 600 + 8 in standard form. Answer: 4608 (1 point) 3. Write 5 3 2 in standard form. Answer: 30 (1 point) 4. Write 3 53 in standard form. Answer: 375 (1 point) 5. Write fourteen million seven thousand two in standard form. Answer: 14,007,002 (1 point) 6. Write 70,000 + 2,000 + 700 + 30 + 9 in standard from. Answer: 72,739 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 7 MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations (1 point) 7. If a = 4, b = 3, and c = 2 then what does (a + b)c equal? Answer: 14 (1 point) 8. If a = 4, b = 3, and c = 2 then abc equals ________. Answer: 24 (1 point) 9. If a = 4, b = 3, and c = 2 then ac equals ________. b Answer: 2 (1 point) 10. Write an algebraic expression for a number n increased by a number m. Answer: n + m (1 point) 11. Write an algebraic expression for 12 decreased by z. Answer: 12 – z (1 point) 12. Write an algebraic expression for a number k minus 8. Answer: k – 8 (1 point) 13. A person can find the approximate number of pints of blood in his or her body by dividing his or her weight by 16. Write an algebraic expression to describe this relationship. w Answer: w/16 or 16 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 7 MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations (1 point) 14. Which property is illustrated by (3 +4) + 6 = 3 + (4 + 6)? identity distributive associative commutative Answer: associative (1 point) 15. Which property is illustrated by 12 x 3 3 12 x ? identity distributive associative commutative Answer: commutative (1 point) 16. What property is illustrated by 6 1 6 ? identity distributive associative commutative Answer: identity (1 point) 17. What property is illustrated by 65(32 45) (65 32) (65 45) ? identity © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 3 of 7 MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations distributive associative commutative Answer: distributive (1 point) 18. True or false, the commutative property basically states that numbers can be added or subtracted in any order. Answer: false (1 point) 19. True or false, the sum of zero and an addend is zero. Answer: false (1 point) 20. What property is illustrated by 7 0 0 ? Answer: zero property of multiplication (1 point) 21. Which property is illustrated by 8 0 8 ? Answer: identity property of addition or zero property of addition (1 point) 22. 21 2 3 4 = Answer: 11 (1 point) 23. (34 3) 24 6 Answer: 84 (1 point) 24. 2(5 + 4) − 3(7) = © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 4 of 7 MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations Answer: -3 (1 point) 25. 27 7 = 40 35 Answer: 4 (1 point) 26. 36 9 3 = Answer: 12 (1 point) 27. True or false, 2(38−12) = 49 Answer: false (1 point) 28. 6[4 (12 3) 3] = Answer: 42 (1 point) 29. 500 + n = 800 n = ________ Answer: 300 (1 point) 30. 56 = x – 7 x = ________ Answer: 63 (1 point) 31. 17 + n = 14 + 3 n= ________ Answer: 0 (1 point) 32. 42 − 5 = x x = ________ Answer: 37 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 5 of 7 MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations (1 point) 33. 4 + 18 + c = 25 c = ________ Answer: 3 (1 point) 34. c + 36 = 20 + 21 c = ________ Answer: 5 (1 point) 35. 327 + n = 742 n = ________ Answer: 415 (1 point) 36. 9m = 81 m = ________ Answer: 9 (1 point) 37. 75 = 3n n = ________ Answer: 25 (1 point) 38. r 7 12 r = ________ Answer: 84 (1 point) 39. 7 3 y 7 Answer: 3 y = ________ 1 or 2 3 or 2.3 © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 6 of 7 MTH00IIB |Math Foundations II | Unit 5 Answer Key| Expressions and Equations (1 point) 40. 13 y 5 y = ________ 3 Answer: 25 or 2.6 Your Score © 2012 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. ___ of 40 Page 7 of 7