Chapter 2, Skills and Concepts

1. b + 4b = –90
   1. –18
   2. no solution
   3. 18
   4. identity
2. –x + 7x = 24
   1. 3
   2. 4
   3. no solution
   4. identity
3. 2(t + 5) = 9
   1. identity
   2. no solution
   3. –
   4. 2
4. –(3 – 10y) = 12
   1. 
   2. identity
   3. 
   4. no solution
5. x – (4 – x) = 0
   1. identity
   2. no solution
   3. –2
   4. 2
6. 4n – 6n = 2n
   1. identity
   2. 0
   3. no solution
   4. –1
7. 4 + 3n = 5n + 4
   1. no solution
   2. identity
   3. 0
   4. 
8. –2(r – ) = –2
   1. no solution
   2. 
   3. identity
   4. 
9. 9c + 4 = 3c – 8
   1. –
   2. –2
   3. no solution
   4. identity
10. 3(5x – 2) – 6x = 3(3x + 2)
    1. no solution
    2. –
    3. identity
    4. 0
11. 3(2t – 6) = 2(3t – 9)
    1. no solution
    2. 0
    3. 15
    4. identity
12. – = 5
    1. 5
    2. 20
    3. identity
    4. no solution
13. 0.36p + 0.26 = 3.86
    1. 100
    2. no solution
    3. 10
    4. identity
14. 2n + 3 + 4n = 5 + 6n – 2
    1. identity
    2. no solution
    3. 2
    4. 0
15. 7s – (3s + 1) = 4(3 + s)
    1. –3
    2. identity
    3. –
    4. no solution
16. Geometry The width of a rectangle is 6 cm less than the length. The perimeter is 72 cm. Write and solve an equation to find the width and the length of the rectangle.
    1. 2x + 2(x – 6) = 72; width = 15 cm, length = 9 cm
    2. 2x + 2(x + 6) = 72; width = 16.5 cm, length = 22.5 cm
    3. 2x + 2(x + 6) = 72; width = 15 cm, length = 21 cm
    4. 2x + 2x – 6 = 72; width = 19.5 cm, length = 25.5 cm
17. Costs for bowling at a certain bowling alley are $2.50 for shoes and $4.25 for each game bowled. Austin spent $15.25. Write and solve an equation to find how many games he bowled.
    1. 2.50x + 4.25 = 15.25; 3 games
    2. 4.25x + 2.50 = 15.25; 3 games
    3. 4.25x + 2.50 = 15.25; 4.25 games
    4. 2.50x + 4.25 = 15.25; 4.25 games

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