Basic Algebra

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

• 5x - 2y

• 8x - 3y

• -2x + 6y

• 2x + 4y

Translate the verbal phrase 'the sum of a number and 5' into an algebraic expression

• 5 - x

• 5x

• x - 5

• x + 5

Evaluate the algebraic expression for x = 2 and y = 3: 2x + 3y - 5

• 8

• 10

• 6

• 4

Identify the like terms in the expression: 4x + 2y - 3x - 5y

• 4x, -3x, 2y, -5y

• 4x, -3x, 2y, 3y

• 4x, 3x, 2y, 5y

• 4x, -3x, -2y, -5y

Combine the like terms in the expression: 2x + 3y - 4x + 5y

• -2x - 8y

• -2x + 8y

• 2x - 3y

• 6x - 2y

Solve for x: 2x + 5 = 15

• x = 3

• x = 10

• x = 20

• x = 5

Simplify the algebraic expression: 2(x + 3) - 3(2x - 5)

• 6x - 11

• -2x + 7

• -4x + 21

• 4x - 15

Translate the verbal phrase 'twice a number decreased by 7' into an algebraic expression

• 2x - 14

• 2x + 7

• 2x + 14

• 2x - 7

Evaluate the algebraic expression for x = 4 and y = 2: 3x - 2y + 7

• 15

• 5

• 9

• 11

Identify the like terms in the expression: 5x + 3y - 2x - 4y

• 5x, -2x, 3y, -4y

• 5y - 2x

• 2x + 4y

• 5x - 3y