1
Combine similar terms: 3x^2 - 6x + 11 - 4x - 8 - 3x^2 + 5x - 16 + 13x
Chapter 3 · Addition
Chapter challenge
Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.
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From Adding Polynomials, exercise 19
Combine similar terms.
From Adding Monomials, exercise 30
Now some of the terms are dissimilar. Combine what you can.
2
Find the algebraic sum: 3(a+b) - 2(a+b) + 8(a+b)
From Adding Polynomials, exercise 14
Add the polynomials, then check your sum by letting every letter equal 1.
3
Add x - 3(x-y) + z, 5 - 10x + 4(x-y), and -2(x-y) + 6.
From Adding Polynomials, exercise 25
Write each with a polynomial coefficient.
4
Write with a polynomial coefficient: 3ax - 4cx + x
From Adding Monomials, exercise 9
Find the algebraic sum.
5
11 + 5 - 9 - 3 + 16 - 25
From Adding Polynomials, exercise 18
Combine similar terms.
6
Combine similar terms: 5ab - a^2 + b^2 - 4ab - 9b^2 + 5a^2 - 2ab + 2b^2
From Adding Polynomials, exercise 29
Write each with a polynomial coefficient.
7
Write with a polynomial coefficient: 4(a-x) - 3b(a-x)
From Adding Polynomials, exercise 5
Add the polynomials, then check your sum by letting every letter equal 1.
8
Add 4x - 3y - 5z, 6y - 2z, and 7x - 6y - 4z.
From Adding Polynomials, exercise 8
Add the polynomials, then check your sum by letting every letter equal 1.
9
Add 8a - 7b - 6c, 5c - 4a - 3b, and 3b + 7c.
From Adding Polynomials, exercise 17
Combine similar terms.
10
Combine similar terms: x^2 - 2xy + y^2 - 4xy - 4x^2 - y^2 - 16x^2 - 8xy + y^2 + y^3