Combing Polynomials with Variables and Exponents

What technique can be use to add polynomials?

• combining like terms
• counting the exponents
• subtracting the coefficients
• multiplying the variables

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
( - 8v⁴ + 4v³ + 3v)
+ (- 8v⁴ + 4v - 7)

• -17v⁴ + 4v³ + 2v - 7
• -16v⁴ + 4v³ + 10v - 7
• -16v⁴ + 4v³ + 7v - 7
• -16v⁴ + 4v³ + 2v - 7

Tags

CCSS.HSA.APR.A.1

Simplify the expression:
(- 6p⁴  + p³ + 1)
- ( 8p⁴- 8p³ + 7)

• -14p⁴ + 9p³ - 6
• -14p⁴ + 9p³ + 6
• -14p⁴ + 9p³ - 1
• -15p⁴ + 9p³ + 6

Tags

CCSS.HSA.APR.A.1

Find the sum.
(2x² + 5x - 7) +
(- 4x² + 6x + 3)

• 2x² + 3x + 1
• -2x² - 11x - 4
• 2x² + 5x - 7
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

Find the difference.
(7p + 4p³ - 8) - (-3p² + 2 - 9p)

• -3p² + 4p³ -15 + 9
• 3p³ + 4p² - p + 3
• 4p³ -3p² +16p -10
• 4p³ +3p² + 16p + 10

Tags

CCSS.HSA.APR.A.1

Solve the following problem.
(3x - 4) + (12x + 10)

• x - 12
• 15x + 6
• 36x + 40
• 17x + 9,000

Tags

CCSS.7.EE.A.1

Solve the following problem.
(9x + 17) + (19x - 27)

• 28x + 44
• 28x - 10
• -28x + 10
• -171x - 459

Tags

CCSS.7.EE.A.1

Solve the following problem.
(13x + 30) - (20x + 6)

• -7x + 24
• -33x - 42
• 133x + 36
• 260x + 180

Tags

CCSS.HSA.APR.A.1

Simplify the following expression
(r² + s²) – (5r² + 4s²)

• –4r² +5s²
• –4r² – 3s²
• –5r⁴ – 4s⁴
• –4r² + 3s²

Tags

CCSS.HSA.APR.A.1