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12 questions
Combine Like Terms
TRUE or FALSE
These are LIKE TERMs.
3x and 3x2
True
False
Combine Like Terms
Simplify the polynomial by combining like terms.
2r + 5r3 + 7r + 5 + r3
7r3 + 7r2 + 7
6r3 + 7r + 5
12r3 + 9r - 5
6r³ + 9r + 5
Put the terms in Standard Order. (List the exponents from highest to lowest.)
x8
7x5
8x4
12x2
x
Add the following polynomials.
Select the correct answer.
( 3x4 + 5x - 4 ) + ( 4x4 - x + 14 )
12x4 - 5x + 10
7x4 + 4x + 10
x4 + 6x - 10
-x4 + 5x + 10
Add the polynomials. Select the correct answer.
( -x2 + 9x ) + ( 2x2 - x )
x2 + 8x
8x2 + x
3x2 + 9x
x2 + x
Add the polynomials. Select the correct answer.
( 4xy - 2x - 3y ) + ( 6y + 6x + 5xy )
20xy - 12x - 18y
2xy - 2x - 2y
xy + x + y
9xy + 4x + 3y
What does the word "equivalent" mean?
opposite
different
equal
quirky
What are the like terms in the following
( 5rt - 3rw - 8tw) + ( 6rt - 4rw + 2tw )
(Match the letters exactly).
5rt & 6rt
-3rw & -4rw
-8tw & 2tw
5rt & -4rw
-3rw & 2tw
-8tw & 6rt
Which expression is equivalent to
( 5rt - 3rw - 8tw) + (6rt - 4rw + 2tw) ?
11rt + rw - 10tw
11rt - 7rw - 6tw
11rt + rw - 6tw
11rt - 7rw - 10tw
Which expression is equivalent to ( 10 + 7r - r2 ) + ( -6r2 - 18 + 5r ) ?
-7r2 + 2r + 8
7r2 + 12r + 8
-7r2 + 12r - 8
7r2 + 2r - 8
When SUBTRACTING polynomials, remember:
1 - Match Up
2 - Flip the signs of 2nd Polynomial
3 - Combine
( 5x2 + 8x + 7 ) - ( 2x2 + 2x + 2 )
7x2 + 10x + 8
-3x2 - 6x - 5
3x2 + 6x + 5
*Remember
1-Match
2-Flip
3-Combine
( 8x3 + 3x2 + 4x + 10 ) - ( 3x3 - 4x2 + 2x + 1 )
11x3 + 7x2 + 6x + 12
5x3 + 7x2 + 2x + 9
5x3 - x2 - 2x + 11
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