Factoring
Adding or subtracting
Multiplying
Dividing
Graphing
100
List the factors of 36
1, 2, 3, 4, 6, 9, 12, 18, 36
100
Which of the following are like terms?
a. 3x and 3x²
b. 2x and 2y
c. 4x² and −7x²
d. x and x³
c. 4x² and −7x²
100
x3
How many x's?
3
100
x7/x3
x4
100
Describe the end behavior
3x3-4x+7
As x --> -infinity y --> -infinity
As x --> +infinity y --> +infinity
Left it goes down
Right it goes up
200
What is the greatest common factor (GCF) of the polynomial 12x³ + 8x² − 16x?
a. 2x
b. 4x
c. 8x
d. 12x
b. 4x
200
6x2 + 3x2 -8x -4x +12 - 9
9x2 -12x +3
200
What is the product of (3x)(4x²)?
a. 7x³
b. 12x²
c. 12x³
d. 12x⁴
c. 12x³
200
(5x3 -4x2 +2x -10) / 2x
5/2x^2 -2x +1 -5/x
200
What are the zeros of the function
f(x) = (x − 3)(x + 2)(x − 1)?
a. x = −2, 1, 3
b. x = 3, −2, 1
c. x = −3, −2, 1
d. x = 3, 2, −1
b. x = 3, −2, 1
300
Factor the following:
16x4y7 + 10x5y3
2x4y3 (8y4 +5x)
300
What is the simplified result of
(3x² + 2x − 5) + (4x² − x + 6)?
a. 7x² − x + 11
b. 7x² + x + 1
c. 7x² + 3x − 1
d. 12x² + x − 11
b. 7x² + x + 1
300
Use the box method to simplify
(x + 2)(x + 5):
a. x² + 10x + 10
b. x² + 7x + 10
c. x² + 3x + 7
d. x² + 5x + 2
b. x² + 7x + 10
300
What is the zero of the following?
(3x^3-4x+7) / (x-4)
4
300
What is the degree and end behavior of
f(x) = −2(x + 1)(x − 3)?
a. Degree: 3; Left end up, right end down
b. Degree: 2; Both ends down
c. Degree: 3; Both ends down
d. Degree: 3; Left end down, right end up
b. Degree: 2; Both ends down
400
Which expression is equivalent to
3x² − 6x + 2x − 4 after factoring by grouping?
a. (3x² − 6x)(2x − 4)
b. (3x + 2)(x − 2)
c. (3x − 2)(x + 2)
d. (3x − 2)(x − 2)
d. (3x − 2)(x − 2)
400
Which expression is the simplified result of (x² − 3x + 4) − (−2x² + x − 6)?
a. −x² − 2x + 10
b. 3x² − 4x + 10
c. 3x² + 2x − 2
d. x² − 4x − 2
b. 3x² − 4x + 10
400
Which model could be used to represent (x + 2)(x + 4)?
a. Number line
b. Graph of y = x
c. Area model showing a rectangle with sides labeled x + 2 and x + 4
d. Pie chart
c. Area model showing a rectangle with sides labeled x + 2 and x + 4
400
(k^3 + 8k^2 + 10k + 21) / (k + 7)
k2 + k + 3
400
Given the function f(x) = (x − 1)²(x + 4), how does the graph behave at x = 1?
a. It crosses the x-axis
b. It curves up sharply
c. It touches the x-axis and turns around
d. It has a vertical asymptote
c. It touches the x-axis and turns around
500
In a design problem, the area of a rectangular banner is represented by the expression x² + 4x. What is the factored form to help find the dimensions?
a. (x + 4)(x + 1)
b. (x + 2)²
c. x(x + 4)
d. x(x + 2)
c. x(x + 4)
500
(3x2-2x+7)-(4x3-4x+8)
-4x3 + 3x2+ 2x -1
500
Show the setup of (x + 3)(x² + 2x + 4)
500
What is the remainder?
(3x^2-5x+4)(x+2)
26/(x+2
500
Describe the graph of f(x) = (x + 2)(x − 1)²?
Zeros x = -2 and 1
End behavior = left down, right up
Crosses at -2, bounces at 1