Algebraic Expressions quiz

The coefficient of y in -7xy is:

Which pair consists of like terms?

The expression x + y - 3 is a:

The value of 3x - 4 when x = -2 is:

The sum of 5a and -8a is:

Subtracting 2p from 7p gives:

The number of terms in 4x^2y - 3xy + 2y - 1 is:

The expression for "the sum of the squares of x and y" is:

The nth term of the pattern 5, 10, 15, 20, ... is:

The constant term in 3x^2 - 5x + 8 is:

Write the expression: (i) 5 times y added to 7 (ii) the product of x and y subtracted from 10. (2 marks)

Identify the terms and their coefficients in 4x^2 - 3xy + 5. (2 marks)

Simplify: 21b - 32 + 7b - 20b. (2 marks)

Add: 3a - 2b and 5b - a. (2 marks)

Subtract 3x - 4y from 7x + 2y. (2 marks)

Find the value of a^2 + 2ab + b^2 when a = 1 and b = -2. (2 marks)

Classify as monomial, binomial or trinomial: (i) 4y - 7z (ii) y^2 (iii) x + y - xy (iv) 100. (2 marks)

Write two terms that are like terms of -2xy^2. (2 marks)

If z = 10, find the value of z^3 - 3(z - 10). (2 marks)

Write the perimeter of an equilateral triangle of side l and a regular hexagon of side l as expressions. (2 marks)

Simplify by combining like terms: (i) 3a - 4b - 2a + 5b (ii) 6x^2 + 4x - 3 + 2x^2 - x + 7 (iii) 5ab - 3a^2 + 2ab - a^2 + 4. (3 marks)

If p = -2, find the value of (i) 4p + 7 (ii) -3p^2 + 4p + 7 (iii) -2p^3 - 3p^2 + 4p + 7. (3 marks)

From the sum of 3x - y + 11 and -y - 11, subtract 3x - y - 11. (3 marks)

Find the value of the expression 2x^2 + 4x + 5 when x = 3 and when x = -1. (3 marks)

The length of a rectangle is (3x + 2) cm and the breadth is (x + 4) cm. Find the perimeter in terms of x and its value when x = 5. (3 marks)

Read the passage and answer the questions. A shopkeeper sells notebooks at Rs x each and pens at Rs y each. Riya buys 5 notebooks and 3 pens. Her brother buys 2 notebooks and 7 pens. (i) Write expressions for the amounts paid by Riya and her brother. (ii) Find the total amount paid by both. (iii) If x = 40 and y = 15, find the total amount. (5 marks)

Read the passage and answer the questions. In a school garden, the length of a rectangular bed is 5 m more than its breadth b. A path 1 m wide is to be laid along its perimeter outside the bed. (i) Write an expression for the length of the bed. (ii) Write an expression for the perimeter of the bed. (iii) Find the perimeter when b = 4 m. (5 marks)

Read the passage and answer the questions. Amit's age is a years. His father is 3 times as old as Amit plus 4 years. His sister is 5 years younger than Amit. (i) Write expressions for the ages of the father and sister. (ii) Find the sum of the three ages as an expression. (iii) If a = 12, find the sum of their ages. (5 marks)

Read the passage and answer the questions. A pattern of tiles has 1 black tile in the centre with white tiles around it. The first figure has 1 black and 8 white tiles, the second has 2 black tiles in a row and 10 white tiles, and the third has 3 black tiles and 12 white tiles. (i) Write an expression for the number of white tiles in the nth figure. (ii) Find the number of white tiles in the 10th figure. (iii) Find the total number of tiles in the nth figure. (5 marks)

Read the passage and answer the questions. A taxi company charges Rs 50 as a fixed amount plus Rs 15 per kilometre. Another company charges Rs 20 per kilometre with no fixed charge. (i) Write an expression for the fare for x km for each company. (ii) Find the fare for 8 km with each company. (iii) For what distance are the fares equal? Check your answer. (5 marks)

Draw a tree diagram for the expression 7x^2y - 4xy + 3y. Identify the terms, factors, coefficients and type of expression. Then find its value when x = 1 and y = 2. (6 marks)

Draw the first four figures of a pattern where triangles are joined side by side using matchsticks (3, 5, 7, 9 sticks). Find the rule for the nth figure, the matchsticks for the 15th figure, and the figure number that uses 41 matchsticks. (6 marks)

Add the expressions 5x^2 - 3xy + y^2, -2x^2 + 4xy - 3y^2 and x^2 - xy + 2y^2 using the column method, showing like terms in columns. Then subtract the result from 6x^2 + 2y^2. (6 marks)

Draw a figure made of a square of side a joined to a rectangle of length a and breadth b along one side. Write expressions for the perimeter and area of the combined figure. Find both when a = 6 cm and b = 4 cm. (6 marks)

Explain the difference between like and unlike terms, and between monomials, binomials, trinomials and polynomials, with examples. Simplify (2a - 3b + c) - (a + 2b - 3c) + (4a - b - 2c) and find its value when a = 1, b = -1, c = 2. (6 marks)