Find the value of the expression (8z+x-y) given that x = -/, y = /, z=0
Answers
Answer:
Write the following using literals, numbers and signs of basic operations:
(i) x increased by 12
(ii) y decreased by 7
(iii) The difference of a and b, when a > b
(iv) The product of x and y added to their sum
(v) One-third of x multiplied by the sum of a and b
(vi) 5 times x added to 7 times y
(vii) Sum of x and the quotient of y by 5
(viii) x taken away from 4
(ix) 2 less than the quotient of x by y
(x) x multiplied by itself
(xi) Twice x increased by y
(xii) Thrice x added to y squared
(xiii) x minus twice y
(xiv) x cubed less than y cubed
(xv) The quotient of x by 8 is multiplied by y
ANSWER:
(i) x increased by 12 is (x+12).
(ii) y decreased by 7 is (y-7).
(iii) The difference of a and b, when a>b is (a-b).
(iv) The product of x and y is xy.
The sum of x and y is (x+y).
So, product of x and y added to their sum is xy+(x+y).
(v) One third of x is x3.
The sum of a and b is (a+b).
∴ One-third of x multiplied by the sum of a and b = x3×(a+b)=x(a+b)3
(vi) 5 times x added to 7 times y = (5×x)+(7×y), which is equal to 5x+7y.
(vii) Sum of x and the quotient of y by 5 is x+y5.
(viii) x taken away from 4 is (4-x).
(ix) 2 less than the quotient of x by y is xy−2.
(x) x multiplied by itself is x×x=x2.
(xi) Twice x increased by y is (2×x)+y = 2x+y.
(xii) Thrice x added to y squared is (3×x)+(y×y)=3x+y2.
(xiii) x minus twice y is x−(2×y)=x−2y.
(xiv) x cubed less than y cubed is (y×y×y)−(x×x×x)=y3−x3.
(xv) The quotient of x by 8 is multiplied by y is x8×y=xy8.