If x = 3 , y = - 2 , calculate the value of 2 x - 3 y 2 .

Given: x = 3 , y = - 2 Substituting the values in, 2 x - 3 y 2 , we get, 2 x - 3 y 2 = 2 ( 3 ) - 3 ( - 2 ) 3 = 6 + 6 2 = 12 2 = 12 × 12 = 144 Hence, the required value is 144 .

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Given diagram shows a matchstick pattern of rhombus. Find the general rule that gives the number of matchsticks required for $8^{t h}$ pattern.

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Important Questions on Algebraic Expressions

HARD

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

If the value of

4 p - 4 q

is equal to zero for some values of

p

and

q

, what can be the possible values of

p

and

q

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Remove brackets and simplify if possible, by collecting like terms:

7 a - 8 (a + 5)

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

l = - 1

and

m = 2

, then the value of

4 l^{2} + 9 m^{2} + 2 l m - 9 l^{2} m

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

p = 1, q = 2, r = 3

then the value of

p^{2} + q^{2} + r^{2}

is ________.

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Remove brackets and simplify if possible, by collecting like terms:

n [15 - n (2 n + 5) (n - 3) + n \{- 15 - 7 n (n - 4)\} + 18]

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

The value of

(- 5 x^{2} y) \times (- \frac{2}{3} x y^{2} z) \times (\frac{8}{15} x y z^{2}) \times (- \frac{1}{4} z)

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

m = 2,

find the value of

9 - 5 m

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Find the value of

{(2 x)}^{2} + 4 (2 x) + 7

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Remove brackets and simplify if possible, by collecting like terms:

8 a - (b + 7) + 2 (a - b)

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

\frac{x}{y} = \frac{3}{4},

then the value of

(\frac{6}{7} + \frac{y - x}{y + x})

equals _____

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

a = 2, b = 3,

then the value of

6 a - 3 b

is _______.

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Remove brackets and simplify if possible, by collecting like terms:

2 x - {7 - 3 (x + 10) + x}

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

The value of

9 x^{2} + 49 y^{2} - 42 x y

when

x = 15

and

y = 3

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

x = 3, y = - 2

, calculate the value of

{(2 x - 3 y)}^{2}

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Find the value of

4 x y (x - y) - 6 x^{2} (y - y^{2}) - 3 y^{2} (2 x^{2} - x) + 2 x y (x - y)

for

x = 5

and

y = 13

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Remove brackets and simplify if possible, by collecting like terms:

(b^{2} + c^{2}) - [b^{2} - b (b + c) + c^{2}]

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Cotyledons are also called-

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

a = 7

, then the value of

- (\frac{1 - 2 a}{a - 5})

is _____.

MEDIUM

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

x = - 2, y = 3

and

z = 1

then the value of the expression

x^{3} + y^{3} + z^{3} - 3 x y z

is _____

EASY

Mathematics>Algebra>Algebraic Expressions>Formulas and Rules

Remove brackets and simplify if possible, by collecting like terms:

a (a - b) - b (b - a)

Given diagram shows a matchstick pattern of rhombus. Find the general rule that gives the number of matchsticks required for 8th pattern.

Important Questions on Algebraic Expressions

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Given diagram shows a matchstick pattern of rhombus. Find the general rule that gives the number of matchsticks required for $8^{t h}$ pattern.