Intro To Polynomials
Adding & Subtracting Polynomials
Multiplying Polynomials
Solving Equations
Solving Inequalities
100
What type of polynomial has two terms?
Binomial
100
Simply. Represent your answer in standard form.
(m3 + 5m) + (m + 3m3)
4m3 + 6m
100
Simplify.
3(4x2 - 1)
12x2 - 3
100
Solve:
-8 - 7n = 62
n = -10
100
Draw a number line that represents
x ≤ 4
200
What type of polynomial is shown below.
5x - 2x + 3
Binomial
200
Simplify. Write your answer in standard form.
(2n2 - 5n4) + (6n4 - 8n2 - 5n)
n4 -6n2 - 5n
200
Simplify.
-x(4x + 2)
-4x2 - 2x
200
Solve:
-36 = -6(x + 8)
x = -2
200
Write the inequality that represents the number line below.
x > -3
300
Put the polynomial in standard form.
5 - 3x + 4x3 + 7x2
4x3 + 7x2 - 3x + 5
300
Simplify. Write your answer in standard form.
(4x3 + 1) - (5x3 + 5)
-x3 - 4
300
Simplify.
7k(4k2 - 5k - 7)
28k3 - 35k2 - 49k
300
Solve:
p - 3 = 11 + 3p
p = -7
300
Solve. Only write the inequality as the answer. You do NOT need to draw the number line.
-4 + 2k ≤ 16
k ≤ 10
400
What is the degree and constant?
5 - 3x + 4x3 + 7x2
Degree = 3
Constant = 5
400
Simplify. Write your answer in standard form.
(5p3 + 7p4) - (7p4 - 6p2 + 8p3)
-3p3 + 6p2
400
Simplify. Write your answer in standard form.
(x + 7)(8x - 5)
8x2 + 51x - 35
400
A school bought $548 in tennis equipment and uniforms costing $45 each. The total cost was $1,358. Write and solve an equation that you can use to find the number of uniforms the school purchased.
Equation: 45x + 548 = 1,358
Answer: 18 uniforms
400
Solve. Only write the inequality as the answer. You do NOT need to draw the number line.
-10(10 + x) ≥ 90
x ≤ -19
500
Which polynomial has the biggest leading coefficient?
A) 5 - 3x + 4x3 + 7x2 or B) -8x + 10x2
B
500
Simplify. Write your answer in standard form.
(8 + 6n2 - 7n4) - (-7n4 + 6n2 - 6)
14
500
Simplify.
(x + 2)(3x2 + 4x - 9)
3x3 + 10x2 - x - 18
500
8.Tabitha is comparing two companies based on the costs for renting a bike for the day. Company A charges a $20 rental fee plus $4.50 per hour. Company B charges a $9 rental fee plus $6.50 per hour. Write and solve an equation to determine how many hours would a bike need to be rented for Company A and B to be the same amount.
Equation: 4.50x + 20 = 6.50x + 9
Solution: 5.5 hours
500
Solve. Only write the inequality as the answer. You do NOT need to draw the number line.
-11 - 3p ≥ 1 - 7p
p ≥ 3