Question
Write the equations for the following relations and find the unknown values: [3 MARKS]
a) One-third of a number plus 5 is 8.
b) A number is multiplied by 4 and the product is added to 8 to get double the original number.
c) The difference between three times x and 11 is 31.
a) One-third of a number plus 5 is 8.
b) A number is multiplied by 4 and the product is added to 8 to get double the original number.
c) The difference between three times x and 11 is 31.
Answer:
:
Each part: 1Mark
The equations are as follows:
a) Let the number be x
x3+5=8.
x3=8−5.
x3=3.
x=9.
b) Let the number be x
(4×x)+8=2×x.
4x+8=2x.
4x−2x=−8.
2x=−8.
x=−4
c)(3×x)−11=31.
3x−11=31.
3x=31+11.
3x=42.
x=14.
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:
Each part: 1Mark
The equations are as follows:
a) Let the number be x
x3+5=8.
x3=8−5.
x3=3.
x=9.
b) Let the number be x
(4×x)+8=2×x.
4x+8=2x.
4x−2x=−8.
2x=−8.
x=−4
c)(3×x)−11=31.
3x−11=31.
3x=31+11.
3x=42.
x=14.
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