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Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > Unit Test: Algebraic Expressions
Unit Test: Algebraic Expressions | Mathematics (Maths) Class 7 PDF Download
Time: 1 hour M.M. 30
Attempt all questions.
- Question numbers 1 to 5 carry 1 mark each.
- Question numbers 6 to 8 carry 2 marks each.
- Question numbers 9 to 11 carry 3 marks each.
- Question numbers 12 & 13 carry 5 marks each.
Q1: The algebraic expression for "two less than the product of x and y" is: (1 mark)
(a) x + y
(b) xy
(c) xy - 2
(d) x - y
Q2: Simplify: 5x + 2y - 3x + 4y. (1 mark)
(a) 6x + 2y
(b) 2x + 6y
(c) 2x + y
(d) 2x + 6y
Q3: The algebraic expression for "three times a number increased by 4" is: (1 mark)
(a) 3x + 4
(b) 4x + 3
(c) 3x - 4
(d) 4x - 3
Q4: Add 5pq and -12pq. (1 mark)
Q5: Subtract 12pq from 5pq. (1 mark)
Q6: Subtract 5a - 3ab + 4 from 14a - 6ab + 7b - 2. (2 marks)
Q7: Add (10x² + 3x + 4y) and (5x² - 2x + 6y). (2 marks)
Q8. Find the value of (2 marks)
(a) 4p² + 3q² - 7, when p = 4 and q = -1
(b) x³ - 2x²y + 5xy² + 7x + 10, when x = 2 and y = -1
Q9: Simplify 4(3x + 2) + 5x + 10 when x = -2. (3 marks)
Q10: Simplify: 10x - 5y + 8xy + 3x - 4y - 6xy + 2 - 7 (3 marks)
Q11: A rope of length (3x + 4) metres is cut into two parts, one measuring (7x - 2) metres. What will be the length of the other part? (3 marks)
Q12: From the sum of 7p + 3q + 11 and 4p − 2q − 5, subtract 3p − q + 11. (5 marks)
Q13: Simplify the polynomial and write it in standard form: (5 marks)
(x³ - 2)(2x² - 3x + 4) + 3x(4x - 5)
The document Unit Test: Algebraic Expressions | Mathematics (Maths) Class 7 is a part of the Class 7 Course Mathematics (Maths) Class 7.
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FAQs on Unit Test: Algebraic Expressions - Mathematics (Maths) Class 7
| 1. What are algebraic expressions? |  |
| 2. How do you simplify an algebraic expression? | |
Ans.To simplify an algebraic expression, you combine like terms (terms that have the same variable raised to the same power) and perform any arithmetic operations. For instance, in the expression 2x + 3x - 4, you would combine 2x and 3x to get 5x - 4.
| 3. What is the difference between an algebraic expression and an equation? | |
Ans.An algebraic expression is a combination of numbers, variables, and operations without an equality sign, while an equation is a statement that two expressions are equal, indicated by an equality sign. For example, 2x + 3 is an expression, while 2x + 3 = 7 is an equation.
| 4. Can you give an example of a polynomial and an algebraic expression? | |
Ans.A polynomial is a specific type of algebraic expression that involves only non-negative integer exponents of variables. For example, 4x^2 + 3x - 7 is a polynomial. In contrast, an algebraic expression could be something like 1/x + 2, which is not a polynomial because it involves a negative exponent.
| 5. How do you evaluate an algebraic expression? | |
Ans.To evaluate an algebraic expression, you substitute the values of the variables into the expression and then perform the arithmetic operations. For example, to evaluate the expression 2x + 3 when x = 4, you would substitute 4 for x, giving you 2(4) + 3 = 8 + 3 = 11.
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