TRANSLATE THE SENTENCES TO EQUATION AND SOLVE

Translate to an algebraic equation and solve :

Questions

1) n divided by 8 is -16

Equations

n/8 = -16

n = -16(8)

Solutions

n = -128

2) n divided by six is -24

n/6 = -24

n = 6(-24)

n = -144

3) m divided by -9 is -7

m/-9 = -7

m = (-9)(-7)

m = 63

4) m divided by -7 is -8

m/(-7) = -8

m = (-8)(-7)

m = 56

5) The quotient of f and -3 is -18

f/(-3) = -18

f = (-3)(-18)

f = 54

6) The quotient of f and -4 is -20

f/(-4) = -20

f = (-4)(-20)

f = 80

7) The quotient of g and twelve is 8

g/12 = 8

g = (8)(12)

g = 96

8) The quotient of g and nine is 14

g/9 = 14

g = (14)(9)

g = 126

9) Three-fourths of q is 12

3/4q = 12

q = (12×4)/ 3

q = 16

10) Two-fifths of q is 20

2/5q = 20

q = (20×5)/2

q = 50

11) Seven-tenths of p is -63

7/10(p) = -63

p = (-63×10)/7

p = -90

12) Four-ninths of p is -28

4/9(p) = -28

p = (-28×9)/4

p = -63

13) m divided by 4 equals negative 6

m/4 = -6

m = (-6)(4)

m = -24

14) The quotient of h and 2 is 43

h/2 = 43

h = (43)(2)

h = 86

15) Three-fourths of z is the same as 15

3/4z = 15

z = (15×4)/3

z = 20

16) The quotient of a and 2/3 is 3/4

a/(2/3) = 3/4

a = (3×2)/(4×3)

a = 1/2

17) The sum of five-sixths and x is 1/2

5/6 + x = 1/2

x = 1/2 – 5/6

x = -1/3

18) The sum of three-fourths and x is 1/8

3/4 + x = 1/8

x = 1/8 – 3/4

x = -5/8

19) The difference of y and one-fourth is -1/8

y – 1/4 = -1/8

y = -1/8 + 1/4

y = 1/8

20) The difference of y and one-third is -1/6

y – 1/3 = -1/6

y = -1/6 + 1/3

y = 1/6

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