State whether the following statements are true (T) or false (F): (i) If x is variable then 5x is also variable. (ii) If y is variable then y − 5 is also variable. (iii) The number of angles in a triangle is a variable. (iv) The value of an algebraic expression changes with the change in the value of the variable. (v) If the length of a rectangle is twice its breadth, then its area is a constant. (vi) An equation is satisfied only for a definite value of the variable. (vii) If x toffees are distributed equally among 5 children, then each child gets 5x toffees. (viii) t minutes are equal to 60t seconds. (ix) If x is a negative integer, then −x is a positive integer. (x) x = 5 is a solution of the equation 3x + 2 = 13. (xi) 2y - 7 13 is an equation. (xii) 'One third of a number x added to itself gives 8' can be expressed as . (xiii) The difference between the ages of two sisters Lata and Asha is a variable.

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KnowledgeBoat · Accepted Answer

(i) True. The value of 5x depends on the value of x, so 5x is a variable. (ii) True. The value of y − 5 depends on the value of y, so y − 5 is a variable. (iii) False. The number of angles in any triangle is always 3, which is a constant. (iv) True. The value of an expression depends on the value of the variable. (v) False. If breadth is b, then length = 2b and area = 2b2, which depends on b. So the area is a variable. (vi) True. A linear equation in one variable has exactly one solution. (vii) False. Each child gets toffees, not 5x. (viii) True. Since 1 minute = 60 seconds, t minutes = 60t seconds. (ix) True. The additive inverse of a negative integer is positive. (x) False. At x = 5, 3x + 2 = 3(5) + 2 = 17, which is not equal to 13. (xi) False. 2y - 7 13, it is an inequality, not an equation. (xii) False. The correct expression is (or ). (xiii) False. The difference between the ages of two persons remains the same throughout their lives, so it is a constant.

Mathematics

Algebra Basics

Related Questions

I think of a number x, add 5 to it. The result is then multiplied by 2 and the final result is 24. The correct algebraic statement is
x + 5 × 2 = 24
(x + 5) × 2 = 24
2 × x + 5 = 24
x + 5 = 2 × 24

Which of the following is an equation?
x + 5
7x
2y + 3 = 11
2p < 7

Mathematics

Algebra Basics

Related Questions

I think of a number x, add 5 to it. The result is then multiplied by 2 and the final result is 24. The correct algebraic statement isx + 5 × 2 = 24(x + 5) × 2 = 242 × x + 5 = 24x + 5 = 2 × 24

Which of the following is an equation?x + 57x2y + 3 = 112p < 7

I think of a number x, add 5 to it. The result is then multiplied by 2 and the final result is 24. The correct algebraic statement is
x + 5 × 2 = 24
(x + 5) × 2 = 24
2 × x + 5 = 24
x + 5 = 2 × 24

Which of the following is an equation?
x + 5
7x
2y + 3 = 11
2p < 7