It is attached————————————————————————————————————-
test_5___mastery_worksheets.pdf
Unformatted Attachment Preview
Mastery
Worksheets
MAT 1033
Test 5
Radical Equations
Square Root Property and the Definition of i
Completing the Square
Quadratic Formula
MAT 1033
Mastery
Worksheet
MY NAME IS:
Radical Equations
Test 4
Worksheet 20
Practice Session #
/ /
Date:
Steps for solving a radical equation:
Step 1
Isolate the radical (i.e. get one radical alone on one side of the equation).
Step 2
Raise both sides of the equation to a power equal to the index on the radical.
Step 3
Solve the resulting equation. If the equation still has a radical, repeat steps 1 and 2.
Step 4
CHECK all possible solutions in the original equation
Let’s get to work…
Solve the radical equation with one radical and check your answer.
1
3
x 4 10
3
x 2 11 3
CHECK:
2
x 4 10
CHECK:
CHECK:
1
Test 4 Radical Equations
Worksheet 20
4
CHECK:
3x 1 x 3
Solve a radical equation with two radicals.
5
6
How do I feel?
x 8 3x
CHECK:
x6 x2 4
CHECK:
Awesome!
I Aced it!
I need help with…
Easy
Medium
Hard
2
MAT 1033
Mastery
Worksheet
MY NAME IS:
Square Root Property and the Definition of i
Test 4
Worksheet 21
Practice Session #
/ /
Date:
Square Root Property: For any real number, k, if 𝑥 2 = 𝑘, then 𝑥 = √𝑘 or 𝑥 = −√𝑘.
The solution may also be written as ±√𝑘, reads “plus or minus the square root of k.”
i 1
Definition of i:
From the definition of i, it follows that i 2 1
Let’s get to work…
Solve the quadratic equations by using the square root property.
1
4
x 2 25
9n2 81
How do I feel?
Awesome!
I Aced it!
2
5
3
k 2 11
3x 2
2
5 0
6
16v 2 81
t 7
2
14
I need help with…
Easy
Medium
Hard
1
MAT 1033
Mastery
Worksheet
MY NAME IS:
Completing the Square
Test 4
Worksheet 22
Practice Session #
Date:
/ /
Solve ax2 + bx + c = 0 by Completing the Square
Completing the square:
1.
2.
3.
4.
5.
The Leading coefficient on x 2 must be 1.
Move Variables to the left, constant to the right.
Take half the coefficient of the x term, square it, and add it to both sides.
Rewrite the polynomial on the left as (
) 2.
Solve using the square root property.
Let’s get to work…
Find the value of a such that the expression is a perfect square trinomial. Factor the trinomial.
1
2
x2 8x a
x2 7 x a
Solve by completing the square.
3
5
4
x2 6 x 1 0
x2 2 x 2 0
x2 16 x 3 0
How do I feel?
Awesome!
I Aced it!
I need help with…
Easy
Medium
Hard
1
Mastery
Worksheet
MAT 1033
MY NAME IS:
Quadratic Formula
Test 4
Worksheet 23
Practice Session #
Date:
If ax 2 bx c 0 (a ≠ 0) then x
/ /
b b 2 4ac
2a
Let’s get to work…
Solve by using the quadratic formula.
1
3
2
3x 2 2 x 8 0
4 x2 5x 1 0
x2 10 x 29 0
How do I feel?
Awesome!
I Aced it!
I need help with…
Easy
Medium
Hard
1
…
Purchase answer to see full
attachment
Are you having trouble with the above assignment or one similar?
We offers 100% original papers that are written from scratch.We also have a team of editors who check each paper for plagiarism before it is sent to you.