9(4-6) Review Worksheet
Write all answers in descending order. If there’s more than one variable, write according to x
9(4-5)
A) Simplify
B) Name the polynomial
C) State the degree of the Polynomial
1) (x4 + 7x3 – 3x + 1) + (6x3 + 2x2 – 5x + 2)
2) (7x3 + 6x2 + 4x + 1) + (-7x3 + 6x2 – 4x + 5)
3) (3x2y2 + 2xy – 7) – (3x2y2 + 2xy + 7)
4) (-11xy4 + 9) – (2x3y4 + 13xy4 – 5)
5) (7 + 8x – 2x4) – (x4 + 3x2 – 1)
9-6
Simplify. Show one work step. For 6-10, leave in order given. For 11-12 write in D.O.
6) 3x(x2 + 6x + 10)
7) 5x2y3(3x3 + 2x5 - 8y)
8) ½x5(12x13 + 8x4y3 – 2x2y)
9) z4(wx + x2y – 3xz + z4)
10) -7y(2xy + 9x2 – 6y2)
11) 4x(3x2 + 6) – x2(5 – 4x)
12) 3xy(2x + 7) + 8x(6 – 7y)
Solve and check.
13) (2x + 3) – (5x – 7) = 1
14) (2x2 – x + 6) – 2(x2 – 3x + 5) = 11
15) ⅘(25x – 15) = 18x – 22
16) 8x +11 = 4 + 5(2x – 1)
17) 4(3 + 2x) – 6(4x + 3) = 3(x + 3) + 4
9(4-6) Review Worksheet
Write all answers in descending order. If there’s more than one variable, write according to x
9(4-5)
A) Simplify
B) Name the polynomial
C) State the degree of the Polynomial
1) (x4 + 7x3 – 3x + 1) + (6x3 + 2x2 – 5x + 2)
2) (7x3 + 6x2 + 4x + 1) + (-7x3 + 6x2 – 4x + 5)
3) (3x2y2 + 2xy – 7) – (3x2y2 + 2xy + 7)
4) (-11xy4 + 9) – (2x3y4 + 13xy4 – 5)
5) (7 + 8x – 2x4) – (x4 + 3x2 – 1)
9-6
Simplify. Show one work step. For 6-10, leave in order given. For 11-12 write in D.O.
6) 3x(x2 + 6x + 10)
7) 5x2y3(3x3 + 2x5 - 8y)
8) ½x5(12x13 + 8x4y3 – 2x2y)
9) z4(wx + x2y – 3xz + z4)
10) -7y(2xy + 9x2 – 6y2)
11) 4x(3x2 + 6) – x2(5 – 4x)
12) 3xy(2x + 7) + 8x(6 – 7y)
Solve and check.
13) (2x + 3) – (5x – 7) = 1
14) (2x2 – x + 6) – 2(x2 – 3x + 5) = 11
15) ⅘(25x – 15) = 18x – 22
16) 8x +11 = 4 + 5(2x – 1)
17) 4(3 + 2x) – 6(4x + 3) = 3(x + 3) + 4
9(4-6) Review Worksheet
Write all answers in descending order. If there’s more than one variable, write according to x.
9(4-5)
A) Simplify B) Name the polynomial C) State the degree of the Polynomial
1) (x4 + 7x3 – 3x + 1) + (6x3 + 2x2 – 5x + 2) A) x4 + 13x3 + 2x2 – 8x + 3
B) Polynomial C) 4
2) (7x3 + 6x2 + 4x + 1) + (-7x3 + 6x2 – 4x + 5) A) 12x2 + 6
B) Binomial C) 2
3) (3x2y2 + 2xy – 7) – (3x2y2 + 2xy + 7) A) -14
B) Monomial C) 0
4) (-11xy4 + 9) – (2x3y4 + 13xy4 – 5) A) -2x3y4 – 24xy4 + 14
B) Trinomial C) 7
5) (7 + 8x – 2x4) – (x4 + 3x2 – 1) A) -3x4 – 3x2 + 8x + 8
B) Polynomial C) 4
9-6
Simplify. Show one work step. For 6-10, leave in order given. For 11-12 write in D.O.
6) 3x(x2 + 6x + 10) 3x3 + 18x2 + 30x
7) 5x2y3(3x3 + 2x5 - 8y) 15x5y3 + 10x7y3 – 40x2y4
8) ½x5(12x13 + 8x4y3 – 2x2y) 6x18 + 4x9y3 – x7y
9) z4(wx + x2y – 3xz + z4) wxz4 + x2yz4 – 3xz5 + z8
10) -7y(2xy + 9x2 – 6y2) -14xy2 – 63x2y + 42 y3
11) 4x(3x2 + 6) – x2(5 – 4x) 16x3 – 5x2 + 24x
12) 3xy(2x + 7) + 8x(6 – 7y) 6x2y – 35xy + 48x
Solve and check.
13) (2x + 3) – (5x – 7) = 1 3
14) (2x2 – x + 6) – 2(x2 – 3x + 5) = 11 3
15) ⅘(25x – 15) = 18x – 22 -5
16) 8x +11 = 4 + 5(2x – 1) 6
17) 4(3 + 2x) – 6(4x + 3) = 3(x + 3) + 4 -1
9(4-6) Review Worksheet Answers
1) A) x4 + 13x3 + 2x2 – 8x + 3 B) Polynomial C) 4
2) A) 12x2 + 6 B) Binomial C) 2
3) A) -14 B) Monomial C) 0
4) A) -2x3y4 – 24xy4 + 14 B) Trinomial C) 7
5) A) -3x4 – 3x2 + 8x + 8 B) Polynomial C) 4
6) 3x3 + 18x2 + 30x
7) 15x5y3 + 10x7y3 – 40x2y4
8) 6x18 + 4x9y3 – x7y
9) wxz4 + x2yz4 – 3xz5 + z8
10) -14xy2 – 63x2y + 42y3
11) 16x3 – 5x2 + 24x
12) 6x2y – 35xy + 48x
13) 3
14) 3
15) -5
16) 6
17) -1