1. 48 + 25 + 22
= 48 + 22 + 25
(Commutative Prop. of Add.)
=
70
+ 25
=
95
2. 15(-7)(4)
= 15(4)(-7)
(Commutative Prop. of Mult.)
=
60(-7)
=
-420
3. 5.9 + 10.4 + 2.1
=
5.9 + 2.1 + 10.4
(Commutative Prop. of Add.)
=
8.0 + 10.4
=
18.4
4. 36 ∙ 1 + 0
=
36 + 0
(Identity Prop. of Mult.)
=
36
(Identity Prop. of Add.)
5. Commutative Prop. of Mult.
6. Identity Prop. of Add.
7. Commutative Prop. of Add.
8. Associative Prop. of Mult.
9. 37 yd. ∙ 3 ft. =
111 ft.
yd.
10. 7(8 – 3)
=
56 – 21
= 35
11. (4 + 6)(-6)
=
-24 – 36
=
-60
12. 5(309)
= 5(300 + 9)
= 1500 + 45
= 1545
13. 8(4.95)
= 8(4 + 0.9
+ 0.05)
= 32 + 7.2
+ 0.4
=
39.2 + 0.4
=
39.6
14. A = l ∙
w
= (x + 3)5
= 5x + 15 units2
15. A = l ∙
w
= (4a + 5)6
= 24a + 30 units2
16. A = ½ ∙ b ∙ h
= ½ ∙(8)(7 – c)
= 4(7
– c)
= 28 – 4c units2
17. A = ½ ∙
b ∙ h
= ½ ∙(2n + 10)(12)
= ½ ∙(12)(2n + 10)
= 6(2n +
10)
= 12n + 60
units2
18. 4x + 2 + 5x
terms: 4x, 2,
5x
like terms: 4x, 5x
coefficients: 4, 5
constant terms: 2
SIMPLIFIED: 9x + 2
19. –a + 3a + 7 - 4
terms: -a, 3a,
7, -4
like terms: -a, 3a;
7, -4
coefficients: -1, 3
constant terms: 7, -4
SIMPLIFIED: 2a + 3
20. 8k – 5 – 2k + 1
terms: 8k, -5,
-2k, 1
like terms: 8k, -2k;
-5, 1
coefficients: 8, -2
constant terms:-5, 1
SIMPLIFIED: 6k – 4
21. y + 7y – 9 – 3y
terms: y, 7y,
-9, -3y
like terms: y, 7y, -3y
coefficients: 1, 7, -3
constant terms: -9
SIMPLIFIED: 5y – 9
22. 2(x – 7) – 3x
= 2x – 14 – 3x
= -x – 14
23. –4(n + 1) + 15n
=
-4n – 4 + 15n
=
11n – 4
24. 8p + 4 – (p + 4)
=
8p + 4 – p – 4
=
7p
25. 9t – 3(3t – 2)
=
9t – 9t + 6
=
6
26. 17 – x = 4;
12 is not a solution
27. a/4 = 3;
12 is a solution
28. Copy problem and show work!
x = -3
29. Copy problem and show work!
h = 16
30. Copy problem and show work!
r = -29
31. Copy problem and show work!
s = 91
32. 30 ∙ x = 540
30x = 540
30
30
x = 18 ;
18 hrs
33. Copy problem and show work!
–10.4
34. Copy problem and show work!
-3.62
35. Copy problem and show work!
5.58
36. Copy problem and show work!
-5.5
37. Copy problem and show work!
x = -11
38. Copy problem and show work!
c = 4.07
39. Copy problem and show work!
y = 3.8
40. Copy problem and show work!
m = -28.22