Algebra 1 Sol A.2

Classify, and state the degree of the Polynomial

• Monomial, 12

• Binomial, 6

• Trinomial, 6

• Polynomial, 8

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

Add the polynomials (2x + 5y) and (3x - 2y) and then subtract (2x-y)

• 3x + 5y

• 3x + 4y

• 5x + 7y

• 7xy + 1xy

Arrange the polynomial in ascending order,

9x² + 5x + 27 + 2x³

• 27 + 5x + 9x² + 2x³

• 9x² + 5x + 2x³ + 27

• 9x² + 5x + 27 + 2x³

• 2x³ + 9x² + 5x + 27

Like terms must have...

• The same coefficient

• The same variables

• The same variables and exponents

• The same coefficient, variables, and exponents

When adding or subtracting polynomials we add / subtract the _____________________________.

• Exponents

• Polynomials

• Coefficients

• All of the above

Simplify the expression
(8 p + 7 + 8 p²) - ( p + 4 p⁴ - 6 p²) + (2 p² + p + 1)

• -4 p⁴ + 16 p² + 10 p + 20

• -4 p⁴ + 16 p² + 10 p + 8

• -4 p⁴ + 16 p² + 8 p + 8

• -4 p⁴ + 16 p² + 10 p + 12

Add the following polynomials:

(12x² + 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

• 5x² - x + 7

• 6x⁴ + 5x² - x + 7

• 6x⁴ + 5x² - x + 11

• 5x² + 11x + 11

Write the algebraic expression for this statement:

"The difference between nine and twice a number k"

Which variable expression represents the phrase

"twice the sum of a number and 7"