Algebraic Expressions Challenge

Simplify the expression: 3x + 2y - 5x + 4y

• 5x - 6y

• 8y - 2x

• -2x + 2y

• -2x + 6y

Factorize the expression: x^2 + 5x + 6

• (x + 1)(x + 6)

• (x - 2)(x - 3)

• (x + 4)(x + 2)

• (x + 2)(x + 3)

Expand the expression: (2a - 3b)^2

• 4a^2 - 6ab + 9b^2

• 4a^2 - 12ab - 9b^2

• 4a^2 + 12ab + 9b^2

• 4a^2 - 12ab + 9b^2

Solve for x: 2(x + 4) = 3(x - 1)

• x = 13

• x = 11

• x = 9

• x = 7

Combine like terms: 4x^2 + 3x - 2x^2 + 5

• 6x^2 + 3x + 5

• 2x^2 + 3x + 5

• 4x^2 + 3x + 7

• 2x^2 + 8x + 5

Simplify the expression: 2(3a - 4b) - 5(2a + b)

• -4a - 13b - 2a

• 6a - 3b

• -4a - 13b

• 5a - 6b

Find the value of x: 3x - 7 = 8

• 10

• 3

• 6

• 5

Factorize the expression: 4x^2 - 25

• (2x + 5)(2x + 5)

• (2x - 5)(2x + 5)

• (2x + 5)(2x - 5)

• (4x + 5)(x - 5)

Expand the expression: (x + 2)(x - 3)

• x^2 - x - 6

• x^2 - 5x - 6

• x^2 - 3x - 6

• x^2 - 6x - 6

Solve for y: 2y + 7 = 15

• y = 3

• y = 10

• y = 4

• y = 6