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Topics From This Exam (Yes, We Handle All of Them)
- Simplifying radical expressions like
√64x⁴y⁵or√27 - √128y - Solving quadratic equations using the quadratic formula
- Rationalizing complex denominators with nested radicals
- Converting numbers like
-104into forms involving i - Simplifying complex fractions with variables in numerators and denominators
- Rewriting rational exponents like
27^(4/3)without error - Solving rational and polynomial equations with multiple variables
- Multiplying and dividing rational expressions
- Reducing algebraic fractions to lowest terms
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Example You Might’ve Seen:
Question 19:
Write the number as a product of a real number and i. Simplify the radical expression:
–104 → ?
Answer: √104 × i → simplified with care!
Question 16:
Use the quadratic formula to solve:
x² + x + 6 = 0
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Question 19
Write the number as a product of a real number and i. Simplify the radical
expression.
-104
O-2426
02426
O-21/26
O2/26
Question 18
5 pts
5 pts
Rationalize the denominator. Assume that no radicands were formed by raising negative numbers to even powers.
98
0742x
X
07
O
51X
7√2x
X
Question 17
Rationalize the denominator. Assume that all variables represent positive real
numbers and that the denominator is not zero.
4
9-√√2
01-2
○ 36+4√√2
79
36+4√√2
7
36-42
79
Question 16
Use the quadratic formula to solve the equation.
x2+x+6=0
O
+23 -1-23)
√23 -1-123
2
O (1+√√23 1-1/23
2
2
O
[1+1√√23 1-1/23
2
2
5 pts
5 pts
Question 15
Simplify by factoring. Assume no radicands were formed by raising negative
numbers to even powers.
√64x4y5
○ 4xy 2√xx2
○ 2xy3√x2
0 4xy 3√x2
4xy 3√√xy
Question 14
Rewrite without rational exponents, and simplify, if possible.
274/3
81
2187
729
243
5 pts
5 pts
Question 13
5 pts
Multiply. Assume that no radicands were formed by raising negative numbers to
even powers.
(√√2+3)(√√5+6)
O 10/10 +18
O√√10 +18
O√√10+9√5+18
O√√√10 +6√√√2 + 3√√√5 +18
> Question 12
5 pts
Multiply. Assume that no radicands were formed by raising negative numbers to
even powers.
4√√√√1 +√7)
O 4√√11 +7
O 477+7
28/11+28
O477 +28
Question 11
5 pts
Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers.
3/27-3/128y
33F-432
03-432
0735
043/√2-335
Add or subtract. Then simplify by collecting like radical terms, if possible. Assume that no radicands were formed by raising negative numbers to even powers.
3/27у – 3/1287
0 335-43/2
03-435
0735
043-33F
Solve the equation.
2y(4y+19) = 10
°
°#
>
Question 9
Solve the equation.
52n2 + 48n=0
1248
13
O
12
13
о 12
13
0
0
5 pts
Quiz: Proctored Final Exam (…
app.honorlock.com is sharin…
>
Question 8
5 pts
Write the rational expression in lowest terms.
5k-35
49-7k
O
517
O-1
517
O 1
Question 7
Simplify.
No2-4y-12
2-3y-18
-4y-12
-3y-18
-4y-2
-3y-3
y+2 y+3
O2-4y-12
–
2-3y-18
Solve the equation.
2-11y+28
O {-1, 0}
V
√2 – 16 = No2 – 3y-28
O (1,0}
O {-8, 0}
O (8,0}
>
Question 5
Solve the equation.
2x+9= ᄒ
198
0 {199}
{-202}
{2}
Question 4
Multiply the rational expressions. 3x-21 x2+3x
x
7x-49
O3(x+3)
7
7(x-7)
x
O 3×2-63
7x-49
O 3×2 + 9x
7×2-49
5 pts
>
> Question 3
Divide the rational expressions. 3×2 + 3x
2
÷
x2-1
6x
9×2
O 9×2
x-1
Ox(x+1)(x-1)
4
○ (x + 1)(x2-1)
4
Question 2
Simplify the complex fraction.
5
3r-1
51
5
+5
3r-1
2+3r
3r
2-1
I
2-3r
3r
3r
2-3r
5 pts
5 pts
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