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Glencoe Algebra 1

Glencoe Algebra 1. Sections 2.4 and 2.5. 1. Distribute. 4(n – 5) = 20. 4n. – 20. – 20. = 20. Isolate n. + 20 +20. Cancel – 20. 4n = 40. 4. Cancel 4. 4 4. n = 10. 2. Distribute. 11 = 3(4 – 2x) + 5. 11 =. 12. – 6x. + 5. Like terms. 11 = 17 – 6x. 17. Isolate x.

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Glencoe Algebra 1

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  1. Glencoe Algebra 1 Sections 2.4 and 2.5

  2. 1. Distribute. 4(n – 5) = 20 4n – 20 –20 = 20 Isolate n. +20 +20 Cancel – 20. 4n = 40 4 Cancel 4. 4 4 n = 10

  3. 2. Distribute. 11 = 3(4 – 2x) + 5 11 = 12 – 6x + 5 Like terms. 11 = 17 – 6x 17 Isolate x. -17 -17 Cancel 17. Cancel -6. -6 = -6x -6 -6 -6 1 = x x = 1

  4. 3. 2(3k – 4) + 3(k + 2) = -20 6k – 8 + 3k + 6 = -20 9k –2 – 2 = -20 Like terms. +2 +2 Cancel - 2. 9 9k = -18 Cancel 9. 9 9 k = -2

  5. –5 4. 7(h + 5) + –5 (2h – 6) = 20 7(h + 5) – 5(2h – 6) = 20 7h +35 –10h + 30 = 20 -3h + 65 + 65 = 20 Like terms. –65 –65 Cancel +65. -3 -3h = -45 Cancel -3. -3 -3 h = 15

  6. – 5. 8n + -1 (n – 7) = 42 8n – (n – 7) = 42 8n – 1n + 7 = 42 7n + 7 + 7 = 42 Like terms. –7 –7 Cancel +7. 7 7n = 35 Cancel 7. 7 7 n = 5

  7. 6. –5y Isolate the 16. +5y +5y Cancel -5y. 3y = 16 – 5y 8y = 16 8 Cancel 8. 8 8 y = 2

  8. 7. –30 Isolate the -30. –4x –4x Cancel 4x. 9x = 4x – 30 5x = -30 5 Cancel 5. 5 5 x = -6

  9. 8. x Move a variable. –1x –x Cancel x. 4x – 6 = x – 18 3x – 6 = – 18 – 6 Cancel -6. +6 +6 3x = -12 3 Cancel 3. 3 3 x = -4

  10. 9. –77 Isolate the -77. –20n –20n Cancel 20n. 9n = 20n – 77 -11n = -77 -11 Cancel -11. -11 -11 n = 7

  11. 10. 2x + 8(4 – x) = 2 – x 2x + 32 – 8x = 2 – x -6x + 32 = 2 – x –x Like terms. +1x +x Move -x. -5x + 32 = 2 + 32 Cancel +32. –32 –32 -5 -5x = -30 Cancel -5. -5 -5 x = 6

  12. 11. + 2 Mult by LCD. x 3 x 5 x 5 x 3 – 4 = 15 15 – 154 = + 152 5x – 60 = 3x + 30 3x Cancel 3x. - 3x - 3x 2x – 60 = 30 – 60 Cancel -60. +60 +60 2 2x = 90 Cancel 2. 2 2 x = 45

  13. 12. – 2 Mult by LCD. x 8 x 4 x 8 x 4 + 1 = 8 8 + 81 = – 82 2x + 8 = 1x – 16 1x Cancel 1x. - 1x - 1x Cancel +8. x + 8 = -16 +8 – 8 – 8 x = -24

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