Algebraic Expressions Quiz

Write an algebraic expression for the following statement: Two-thirds of x is subtracted from five times y.

1. 2x/3 - 5y
2. 5y - 2x/3
3. y - 2x/3
4. 5y - x

Answer: (b) 5y - 2x/3

Find the value of m in the following equation: 3(m - 1) - 4 = 8

1. 5
2. 6
3. 7/3
4. 2/3

Answer: (a) 5

Find the number of terms in the given expression: (x² + 2) × ( 2x² - 4)

1. 4
2. 3
3. 2
4. 5

Answer: (c) 2

Alex has 2x number of pencils, Karl has 3x + 5 number of pencils, Martin has 8y pencils and John has 6x - 5 pencils. What is the type of algebraic expression that is obtained by finding the total number of pencils they have?

1. Binomial
2. Quadrinomial
3. Monomial
4. Trinomial

Answer: (a) Binomial

Simplify: 2x + {x + y - [5z - (x + 2y)] + 2(4 - 3z)}

1. 2x + 3y - z
2. 4x + 3y - 11z + 8
3. 3x - y - 11z + 8
4. 4y - 3x - z + 8

Answer: (b) 4x + 3y - 11z + 8

Three trinomials A = 2x² + 3x + 3, B = 3x² - 2x - 1, C = x² + x - 3 are given. What is the coefficient of x² in the expression A × C?

1. 3
2. -6
3. 0
4. -9

Answer: (c) 0

Given that A = 12p + 8q, B = -6p - 8pq and C = 4q + 3pq. What is the term with the highest numerical coefficient in the expression, A + B - C?

1. 6q
2. -11pq
3. 4q
4. 6p

Answer: (d) 6p

When five-sixths of z is subtracted from 25, the result is 5. Find the value of 2z.

1. 96
2. 24
3. 48
4. 30

Answer: (b) 24

Robin walks from his home to the farm at 6 km/hr speed then returns home on a motorcycle at 30 km/hr. If he starts walking at 11 am and returns home at 1 pm without stopping at the farm, find the distance between home and the farm.

1. 9 km
2. 15 km
3. 6 km
4. 10 km

Answer: (d) 10 km

If the cost of mangoes per kg and per kg apples is $(ab - 6b) and $(2b - c + a), then find the total cost of 5 kg of mangoes and 7 kg of apples.

1. $(5ab - 16b - 7c + 7a)
2. $(5ab - 16b - c + a)
3. $(ab - 4b - c + a)
4. $(ab - b - 7c + 7a)

Answer: (a) $(5ab - 16b - 7c + 7a)