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User OXXY
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Answer: (15) see below (16) 284 (17) option 1 (18) option 3

(19) see below (20) 33 (21) L = 50, w = 10

Explanation:

15) 7xy + 3x + 5

↓ ↓ ↓

↓ ↓ 5 is a term with no variable so is a constant

↓ 3x is a term with a coefficient of 3

7xy is a term with a coefficient of 7

Constant Coefficient Term

7 X

3x X

5 X X

16) 12a² - 3 |b| + 2a ; a = -5, b = -2

12(-5)² - 3 |-2| + 2(-5)

= 12(25) - 3(2) - 10

= 300 - 6 - 10

= 294 - 10

= 284

17) 4(k + 5) = -2(9k - 4)

4k + 20 = -18k + 8 Distributed 4 and -2

22k + 20 = 8 Added 18k to both sides

22k = -12 Subtracted 20 from both sides

k = -12/22 Divided 21 from both sides

k = -6/11 Simplified (GCF = 2)

18) V = π r²h

V/(π r²) = h Divided π r² from both sides

19) v = s² + (1/2)sh

v - s² = (1/2)sh Subtracted s² from both sides

2(v - s²) = sh Multiplied both sides by 2

2(v - s²)/s = h Divided s from both sides

1 2 3

subtract s² X

divide by s X

multiply by 2 X

20) F = (9/5)C + 32 ; F = 91

91 = (9/5)C + 32

59 = (9/5)C Subtracted 32 from both sides

295 = 9C Multiplied both sides by 5

32.8 = C Divided 9 from both sides

33 = C Rounded to the nearest whole number

21) Perimeter (P) = 2Length (L) + 2width (w)

Given: P = 120, L = 5w

P = 2L + 2w

120 = 2(5w) + 2w

120 = 10w + 2w

120 = 12w

10 = w

L = 5w

= 5(10)

= 50

User Amiee
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