Chapter 2: Diagnosing Readiness

Lesson 1-1

Choose an equation to model each situation.

1. The total cost of n cartons of milk is $3.60. Each carton costs $.45.
   1. 3.60n = 0.45
   2. 45n = 3.60
   3. 0.45n= 3.60
   4. n= 3.60
2. The perimeter of an equilateral triangle is 3 times the length of a side s. The perimeter of an equilateral triangle is 124 in.
   1. (3s) = 124
   2. 3s = 124
   3. 3s² = 124
   4. 124s = 3

Lesson 1-2

Evaluate each expression for a = 4, b = 13, and c = 2.

3. 2a + cb
   1. 32
   2. 34
   3. 36
   4. 30
4. cb – a²
   1. 36
   2. 22
   3. 10
   4. 28
5. 5c + 2a – b
   1. 5
   2. 32
   3. 11
   4. 15
6. 38 – a² c
   1. 8.5
   2. 36
   3. 25
   4. 30

Lesson 1-4 and Lesson 1-5

Simplify each expression.

7. 6 + (–3)
   1. –9
   2. –3
   3. 3
   4. 9
8. –4 – 6
   1. –2
   2. –10
   3. 2
   4. 10
9. –5 + (–13)
   1. –8
   2. 8
   3. 18
   4. –18
10. –7 + (–1)
    1. –6
    2. 8
    3. –8
    4. 6
11. –4.51 + 11.65
    1. 7.14
    2. –16.16
    3. 16.16
    4. –7.14
12. 8.5 + (–7.9)
    1. 0.6
    2. –16.4
    3. 0.12
    4. 16.4
13. –
    1. –
    2. 
    3. 
    4. 
14. + (– )
    1. 
    2. –
    3. 
    4. –

Lesson 1-6

Simplify each expression.

15. –85 (–5)
    1. 12
    2. 17
    3. –17
    4. –14
16. 7( – )
    1. 6
    2. –6
    3. –3
    4. 3
17. 4²(– 6)²
    1. 24
    2. –331
    3. 776
    4. 576
18. 22 (–8)
    1. –0.36
    2. 2.75
    3. 0.36
    4. – 2.75

Lesson 1-7

Simplify each expression.

19. 14k² – (–2k²)
    1. 16k²
    2. 12k²
    3. 12
    4. 16
20. 4xy + 9xy
    1. 13xy
    2. 11xy
    3. 13x²y²
    4. 13
21. 6t + 2 – 4t
    1. 4t
    2. –4t
    3. 2t + 2
    4. 8t + 4
22. 9x – 4 + 3x
    1. 8x
    2. 12x – 4
    3. 13x + 3
    4. 16x

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