Algebraic Expressions | Algebra | Assessment | English | Grade 6

Which out of the following is an expression with numbers only?

• x + 1

• 2x - 1

• 7 + 7x

• 2 + 4 + 9

Answer explanation

Option 4 is the numerical expression, rest all are algebraic expression. Correct answer is option 4

If Neha's present age is x years, what will be her age after 8 years?

• (x - 8) years

• (x + 8) years

• (x × 8) years

• (x ÷ 8) years

Answer explanation

Neha's age is x years After 8 years, Neha's age will be x + 8

6 more than seven times the number z can be represented as ________.

• 7 z + 6

• 7 z – 6

• 6 + z + 7

• 6 z + 7

Answer explanation

6 more than seven times the number z can be represented as 7 z + 6 Correct answer is option 1.

The expression obtained when x is multiplied by 9 and then subtracted from 5 is ________.

• 9x – 5

• 9x + 5

• 5 – 9x

• 5x – 9

Answer explanation

When x is multiplied by 9, we get 9x When 9x is subtracted from 5, it is equal to (5 - 9x) So, option 3 is correct.

If the perimeter of a regular pentagon is p metres, then the length of each of its sides is ________.

• (p + 5) centimetres

• (p ÷ 5) centimetres

• (p – 5) centimetres

• (5 ÷ p) centimetres

Answer explanation

Number of sides in a pentagon = 5 Let the length of each side of the regular pentagon = s Perimeter of a pentagon = Sum of all its five sides = s + s + s + s + s = 5s i.e., p = 5s s = p/5 Hence, option 2 is correct.

Rhea went to purchase pencils. Cost of 1 pencil is 8 rupees. If she purchases more than 1 pencil, then the cost of the first pencil will be 8 rupees and the rest of the pencils will cost 5 rupees each. If p is the total number of extra pencils she purchases, what will be the total cost of the pencils (in rupees)?

• 5p + 8

• 5p - 8

• 8p + 5

• 5p + 3

Answer explanation

It is given that, if she purchase more than 1 pencil, then cost of first pencil will be 8 rupees and rest pencils will be 5 rupees. Let p be the number of pencils she purchase. Amount she will pay will be = amount of first pencil + amount of (p - 1) pencils = 8 + 5(p -1) = 8 + 5p - 5 = 3 + 5p