Algebraic Expressions

The expression (l + m) (2m + p) − 2m (p + m) can be simplified as

• 2lm + lp

• 2lm + lp − 2mp 

• 2lm + lp + mp 

• 2lm + lp − mp 

What is the product of (x² − y²) and (3x + 2y)?

• 3x³ − 2y³ + 3x²y + 3xy²

• 3x³ + 2y³ - 2x²y − 3xy²

• 3x³ − 2y³ + 2x²y − 3xy²

• 3x³ − 3y³ + 2x²y − 3xy²

Multiply : 7a x (2a² - 3a + 5)

• 14a³ -21a² + 35a

• 14a³ -21a² - 35a

• -14a³ + 21a² + 35a

• -14a³ -21a² + 35a

(x² - y²) × (x² + y²) = ______

• 2x² + 2y²

• x⁴ - y⁴

• x⁴ + y⁴

• 2x⁴

Translate the phrase into an algebraic expression: "Seven less than twice a number."

Translate the following sentence into an equation: "Eight times a number, decreased by 13, is equal to 35."

• 15

• 12

• 18

• 21

The degree of the polynomial:  4x²y + x² - 2y² is ______

• 2

• 3

• 4

• -2

If a+b=7, ab = 10, find a² + b²

• 28

• 29

• 30

• 27

(m+1)(m+3) is of the form

• none of these