Fill in the blanks
Q1: The distributive property of multiplication over addition is written as: a(b + c) = ______.
Q2: 12(x + 4) = ______ + ______.
Q3: (2x + 7)(x + 3) expands to ______.
Q4: The perimeter of a rectangle with length (3x + 5) and breadth (x + 2) is ______.
Q5: The total number of pencils in (x + 3) boxes, each having (2x + 4) pencils, is ______.
State True or False
Q1: The degree of a constant term is 0
Q2: A school buys (3x + 1) books, each having (x + 2) pages. A student claims the total pages are 3x² + 7x + 1.
Q3: 1 is an algebraic expression
Q4: A fruit seller sells (2x + 5) apples every day for 12 days. He says the total apples are 24x + 60.
Q5: In like terms, the numerical coefficients should also be the same
Answer the following questions
Q1: The volume of a rectangular box where length, breadth, and height are 2a, 4b, 8crespectively.
Q2: Carry out the multiplication of the expressions in each of the following pairs.
(i) p − q, 9pq²
(ii) b² − 16, 5b
Q3: Simplify x(2x−1)+5 and find its value at x=−3
Q4:A shopkeeper sells (x + 4) pens at ₹15 each and (2x + 3) pencils at ₹5 each. Find the total money he earns.
Q5: Add: x(x − y), y(y − z), and z(z − x)
Q6: Multiply: (m² + 3n²) × (2m − n)
Q7: A fruit seller sells (2x + 5) apples every day for 12 days. Each apple costs ₹(x + 2). Find the total cost.
Q8 Simplify the expression and evaluate them as directed:4y(3y – 2) + 5(y + 3) – 12for y = -1
Q9:Add 4x(2x + 3) and 5x2 – 7x + 10.
Q10: Simplify (x2−3x+2)(5x−2)−(3x2+4x−5)(2x−1)