Algebraic Expressions
23 Questions Available
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If P = 2x2 – 5x + 2, Q = 5x2 + 6x – 3 and R = 3x2 – x – 1. Find the value of 2P – Q + 3R.
Identify the constant terms in the following expressions:
(i) -3 +3/2 x
(ii) 3/2 – 5y + y2
(iii) 3x2 + 2y – 1
Add:
(i) 3x2y, -5x2y, -x2y
(ii) a + b – 3, b + 2a – 1
Rohan’s mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 – 3xy2) on his birthday party. How much money is left with him?
From the sum of 2x2 + 3xy – 5 and 7 + 2xy – x2 subtract 3xy + x2 – 2.
Find the value of t if the value of 3x2 + 5x – 2t equals to 8, when x = -1.
To what expression must 99x3 – 33x2 – 13x – 41 be added to make the sum zero?
Simplify the following expressions and then find the numerical values for x = -2.
(i) 3(2x – 4) + x2 + 5
(ii) -2(-3x + 5) – 2(x + 4)
Simplify the following expressions and then find the numerical values for x = -2.
(i) 3(2x – 4) + x2 + 5
(ii) -2(-3x + 5) – 2(x + 4)
Subtract 3x2 – x from 5x – x2.
Identify in the given expressions, terms which are not constants. Give their numerical coefficients.
(i) 5x – 3
(ii) 11 – 2y2
(iii) 2x – 1
(iv) 4x2y + 3xy2 – 5
Find the perimeter of the given figure ABCDEF.
To what expression must 99x3 – 33x2 – 13x – 41 be added to make the sum zero?
Identify the pairs of like and unlike terms:
(i) (-3)/2x, y
(ii) -x, 3x
(iii) (-1)/2y2x, 3/2xy2
(iv) 1000, -2
What should be subtracted from 2x3 – 3x2y + 2xy2 + 3y2 to get x3 – 2x2y + 3xy2 + 4y2?
Simplify combining the like terms:
(i) a – (a – b) – b – (b – a)
(ii) x2 – 3x + y2 – x – 2y2
Subtract 3x2 – 5y – 2 from 5y – 3x2 + xy and find the value of the result if x = 2, y = -1.
If A = -(2x + 3), B = -3(x – 2) and C = -2x + 7. Find the value of k if (A + B + C) = kx.
Group the like terms together from the following expressions:
-8x2y, 3x, 4y, (-3)/2x , 2x2y, -y
Draw the tree diagram for the given expressions:
(i) -3xy + 10
(ii) x2 + y2