9.16 Aim 6 Mixed Polynomial Review
September 16, 2016
a) Take out last night's homework
Worksheet: HW - Aim 5
b) Copy down tonight's homework
Worksheet: HW - Aim 6 (odds only)
Math Quiz Tuesday Aims 1 - 6
Aim 6: How do we solve problems with polynomials?
c) Simplify.
Write the polynomial in standard form.
State the degree of the polynomial.
2
2
(3 - 2x) - x + 5
1
9.16 Aim 6 Mixed Polynomial Review
September 16, 2016
HW Answers
2
2
1) When (4x – 2) is subtracted from 9x , what is the
result?
2
2
2) Subtract 3x + 5x – 7 from x - 9x + 2. Express the
result as a trinomial.
3) An expression of the sixth degree is written with a
leading coefficient of nine and a constant of four. Write
an expression that correctly represents these conditions.
4) If the side of a square is represented by 2x – 4, then
what is the total area of the square?
2
5) Simplify: 2(x – 1) – 3(x + 4)
2
9.16 Aim 6 Mixed Polynomial Review
September 16, 2016
2
2
1. Find the sum: (-2x + 3x - 4) + (2x + 5x) - 7
2
2
2. Find the difference: (3x - x - 4) - (4x + 6x - 8)
2
3. Simplify: (4x + 3) + (2x - 5x + 7) - (6x - 8)
2
2
4. If A = 3x - 5x + 7 and B = 2x - 4x + 6, what is the
value of A - B?
3
9.16 Aim 6 Mixed Polynomial Review
September 16, 2016
5. Simplify. Write all answers in standard form and state
the degree for each polynomial.
3 2
5
2
a) (3a ) - 5(2w )
6
b) (2x )(4x)(6x )
degree =
degree =
5
c) (5ab)(7ab)
degree =
e) 2x(x) + 3(4x) + 5x
degree =
g) (4x – 3)
2
2
i) 2(x – 3) – 4(x – 1)
4
d) (3ab )(7a b).
degree =
2
2
2
f) 5y - 4x + 3(2x ) - y
degree =
2
h) (2x – 1)(3 – 4x + x )
2
2
j) 5(x – 1) – (x – 3x + 2)
4
9.16 Aim 6 Mixed Polynomial Review
September 16, 2016
5
9.16 Aim 6 Mixed Polynomial Review
September 16, 2016
6. Express the area and perimeter of a square with side
length (2 – w). Express both in standard form.
2
2
7. When (x – 5) is subtracted from 3x , what is the result?
2
8. Express the product of x + 7x – 5 and x - 3 in standard
form.
2
2
9. Subtract 2x + 2x – 2 from 3x + 3x + 3. Express the
result as a trinomial.
2
2
10. If the difference of (x – x + 2) – (3x + 5x – 7) is
2
multiplied by 2x , what is the result, written in standard
form.
6