Simplify this radical.
Simplify this expression that contains radicals.
Simplify this expression that contains radicals.
Simplify each radical
Simplify each radical
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify. Your answer should not have negative exponents.
Simplify this expression. Your answer should not have negative exponents.
Simplify this expression. Your answer should not have negative exponents.
Simplify this expression. Your answer should not have negative exponents.
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Identify the variable terms, constant terms, and coefficients
Use page 6 in your notes to identify and classify the parts of this polynomial:
Degree (first, second, third, etc.)
# of Terms (1, 2, 3, etc.):
Use page 6 in your notes to identify and classify the parts of this polynomial:
Degree (first, second, third, etc.)
# of Terms (1, 2, 3, etc.):
Directions: Simplify each expression by combining like terms. (Write your answer in standard form)
Directions: Simplify each expression by combining like terms. (Write your answer in standard form)
Directions: Simplify each expression by combining like terms. (Write your answer in standard form)
Directions: Simplify each expression by combining like terms. (Write your answer in standard form)
Find the product of these expressions. Final answers must be in standard form.
Find the product of these expressions. Final answers must be in standard form.
Find the product of these expressions. Final answers must be in standard form.
Distribute, then simplify the remaining expression. Final answers must be in standard form.
Write an expression in simplest form to represent the area of the shaded region.
Find the Product of this binomial * binomial using the box method.
Find the Product of this binomial * binomial using the box method.
Find the Product of this binomial * binomial using the box method.
Simplify this expression using F.O.I.L.
First-
Outside-
Inside-
Last-
Combine the four terms together for your answer
Simplify this expression using F.O.I.L.
First-
Outside-
Inside-
Last-
Combine the four terms together for your answer
A rectangular garden is being constructed in a rectangular patio. The remaining area of the patio forms a walkway around the garden.
The dimensions of the entire rectangular patio are given by the binomials: Length: (4x + 3) meters Width: (2x + 5) meters
What is the area of the patio?
The dimensions of the rectangular garden inside the patio are given by the binomials: Length: (3x + 1) meters Width: (x + 2) meters
What is the area of the garden?
Find the area of the walkway around the garden represented by a polynomial.
If x=5 meters, what actual area of the walkway in square meters?
Put the interval notations and graphs in the right category.
(-∞,-9)
(3,5]
[5,∞)
[3.5]
[3,5)
(3,5)
Open Interval
Closed Interval
Both
Match the inequailty and graph with the correct interval notation.
Use interval notation to describe the domain and range of this function.
Domain (Left to Right):
Range (Lowest to Highest):
Use interval notation to describe the domain and range of this function.
Domain (Left to Right):
Range (Lowest to Highest):
Use interval notation to describe the domain and range of this relation.
Domain (Left to Right):
Range (Lowest to Highest):
For what interval of x is the function f(x):
Increasing?
Decreasing?
For what interval of x is the function f(x):
Negative?
Positive?
Write the following in interval notation.
Write the following in interval notation.
Write the following in inequality notation.
[-4,3)
Write the following in inequality notation.
(-∞,-3]
Write the following in inequality notation.
(-∞,2)U[4,∞)
Use the graph to create a function with the following features:
1) As x gets smaller; the function approaches infinity. x→ - ∞; f(x)→- ∞
2) As x gets larger; the function approaches infinity. x→ ∞; f(x)→ ∞
3) The graph of the function passes through the x-axis at -6
4) The graph of the function passes through the y-axis at -6
5) The graph of the function passes through the x-axis at 4
The definition of absolute value is...
Explain why this is not possible:
|x|= - 9.5
Find the absolute value of this expression:
Find the absolute value of this expression:
Find the absolute value of this expression:
Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)
|x|>4
(-∞,-4)∪(4,∞)
x<-4 or x>4
-3≤x≤13
x≤-4 or x≥4
|x|<4
[-3,13]
|x-5|<8
(-3,13)
Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)
|x|≥2
|x|>2
|x|≤2
(-2,2)
(-∞,-2)∪(2,∞)
|x|<2
-2≤x≤2
-2<x<2
x<-2 or x>2
Solve this absolute Value equation:
+ Case
- Case
Solve this absolute Value equation:
+ Case
- Case
Solve and graph the compound inequality for the given variable.
Solve and graph the compound inequality for the given variable.
Solve and graph the inequality
Solve and graph.
How is the absolute function below different than the parent function y=|x|:
y=2|x+6|-2
Opens (Upward or Downward)
Horizontal Shift (write none if there is none)
Vertical Shift (write none if there is none)
Compression (0<|a|<1), Stretch (|a|>1), or None
How is the absolute function below different than the parent function y=|x|:
y=-5|x-8|+3
Opens (Upward or Downward)
Horizontal Shift (write none if there is none)
Vertical Shift (write none if there is none)
Compression (0<|a|<1), Stretch (|a|>1), or None
What are the critical values of this absolute value function:
y=|x-1|+2
Opens (upward or downward)
Axis of Symmetry
Vertex
Use the critical values of this equation to graph it.
What are the critical values of this absolute value function:
Opens (upward or downward)
Axis of Symmetry
Vertex
Use the critical values of this equation to graph it.
What is the vertex of this parabola? Name the coordinate.
What is the axis of symmetry of this quadratic function? It should be in the form of x=h.
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
Graph each quadratic function and each of its linear factors. Then identify the x-intercepts and the axis of symmetry of each parabola.
Left x-intercept
Right x-intercept
Axis of Symmetry
Vertex
What is the graph of this quadratic function?
Axis of Symmetry
x=
Vertex (h,k)
What is the graph of this quadratic function?
a=
b=
c=
Axis of Symmetry
x=
Vertex (h,k)
Solve this quadratic equation graphing.
x=
x=
Solve this quadratic equation graphing.
x=
x=
Solve the following Quadratic function:
(7x + 3)(2x + 6) = 0
x=
x=
Solve the following Quadratic function:
x2 + 2x - 15 = 0
x=
x=
Solve the following Quadratic function:
2x2 + 5x + 2 = 0
x=
x=
Solve this quadratic equation by taking the square root
x=
Solve this quadratic equation by taking the square root.
x=
People frequently need to calculate the area of rooms, boxes or plots of land. An example might involve building a rectangular box where one side must be twice the length of the other side.
For example, if you have only 4 square feet of wood to use for the bottom of the box, with this information, you can create an equation for the area of the box using the ratio of the two sides. This means the area -- the length times the width -- in terms of x would equal x times 2x, or 2x2. This equation must be less than or equal to four to successfully make a box using these constraints.
For this rectangle with the area given, determine the binomial factors that describe the dimensions.
Length
Width
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t²+ 16t + 500 , where t is the time in seconds and h is the height in feet.
Round your answers to the nearest tenth.
How long did it take for Jason to reach his maximum height?
What was the highest point that Jason reached?
Jason hit the water after how many seconds?
Solve this absolute Value equation:
+ Case
- Case
Solve this absolute Value equation:
+ Case
- Case
Solve this quadratic equation by taking the square root.
x=
Solve this quadratic equation by taking the square root.
x=
