Adding and Subtracting Polynomials

What is the correct classification for the expression

(a)  

Answer explanation

A trinomial has exactly three terms. The expression x^2, 5x, and 7 are three separate terms, so this is a trinomial.

What is the correct classification for the expression

(a)  

Answer explanation

A monomial has only one term. Even if it contains multiple variables, as long as there are no addition or subtraction signs, it’s a monomial.

What is the degree of the polynomial

• 3

• 2

• 5

• 6

Answer explanation

The degree is the sum of the exponents in each monomial term. x^3 has 3, y^2 has 2, so 3+2=5.

Which of the following is the standard form of

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• 
• 
• 

Answer explanation

Standard form arranges terms in descending order of exponents (highest exponent over the variable to lowest). The highest degree term 5x^2 comes first.

What is the coefficient of

• 9

• -9

• x

• y

Answer explanation

The coefficient is the numerical factor in front of the variables. Here, the number in front of xy is −9.

Tags

CCSS.6.EE.A.2B

Simplify

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• 
• 

Answer explanation

First distribute: 4(2x^2−5x)= 8x^2−20x
Then add 2x^22−7: 8x^2+2x^2−20x−7 = 10x^2−20x−7

so, distribute then combine like terms (same variable to the same exponent)

Tags

CCSS.6.EE.A.3

What is the result of

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• 
• 
• 

Answer explanation

Combine like terms: 5x^2+2x^2=7x^2;

8x+3x=11x

Like terms: same variable to the same exponents

Combine like terms: keep variable/exponent the same, combine coefficient with either addition or subtraction

Tags

CCSS.HSA.APR.A.1

Simplify

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• 

Answer explanation

Distribute the negative: 14a^2−3a−6a^2−5a−17
Combine like terms: (14a^2−6a^2)=8a^2;

(−3a−5a)=−8a;

constant −17 remains.

Tags

CCSS.HSA.APR.A.1

What is

• 0

• -2

• -6

• -4

Answer explanation

Subtracting the same x^2 and x terms cancels them.

−4−(−2)=−4+2= −2

Tags

CCSS.HSA.APR.A.1

What is

• 
• 
• 

Answer explanation

Combine like terms: 5a+8a=13a,

3b−b=2b,

−7c+4c=−3c

Tags

CCSS.HSA.APR.A.1