
Review Section 1.7
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Easy
Natacha Zayas
Used 2+ times
FREE Resource
9 Slides • 34 Questions
1
Simplify Rational Expressions
Multiply Rational Expressions
Divide Complex Rational Expressions
Add and Subtract Rational Expressions
2
Factor Completely
Cancel out any matches in the numerator and denominator
Remember when dividing with exponents you subtract them.
You can only simplify if its being multiplied, unless you can divide the same thing out of ALL terms.
The denominator cannot = 0 so whatever values would make the denominator 0 is excluded from the domain
3
4
Multiple Choice
Reduce, or simplify
the rational expression.
3 x y3
8 x3 y
3 x3 y
8 x y3
5
Multiple Choice
Reduce, or simplify
the algebraic fraction.
x - 3
-21
-3
( x - 3 ) / ( x )
6
Multiple Choice
Reduce, or simplify
the rational expression.
( x + 5 )( x - 5 ) / ( x + 5 )( x - 2 )
( x - 5 ) / ( x - 2 )
( x + 5 ) / ( x - 2 )
-25 / ( 3x - 10 )
7
Multiply straight across.
Factor everything and cross off common factors in the numerator and denominator
8
9
Multiple Choice
Multiply and Simplify
4(x+3)/(x+2),
(x+2)/4(x+1)
(x+2)/4(x+3),
4(x+1)/(x+2),
10
Multiple Choice
b2+2b−33b2−6b⋅b−2b2−8b+7
b(b−2)1; b=0, 2
3b2(b+6)b−3; b=−6, 0
b−8; b = all real numbers
b+33b(b−7); b =−3, 1, 2
11
Multiple Choice
x2−5x−2424+5x−x2⋅7x2+21x8x+24
7; x = all real numbers
3xx+5; x=0
21x; x = all real numbers
−7x8; x=−3, 0, 8
12
If it is complex fraction (fraction on top of another fraction) rewrite it our horizontally
KEEP CHANGE FLIP!!
Then follow rules for multiplication
13
14
Multiple Choice
Divide and Simplify
1/6
x+10/ 6x+60
x+8/ 6x+60
(x+10)(x+8)/ 6x+60
15
Multiple Choice
Divide the Rational Expression
A
B
C
D
16
Multiple Choice
Simplify: 9k2+2k−355k25k3−25k2
k−74k2
k+79
49
1
17
You must have a common denominator.
Whatever you multiply the bottom by, you must also multiply to the top
Remember when subtracting you must change ALL the signs in the numerator of the second fraction
18
19
Multiple Choice
Simplify the expression.
20
Multiple Choice
Add
A.
B.
C.
D.
21
Multiple Choice
Subtract: x+25x−3−x+23x−1
x+22x−4
x+28x−4
x+22x−2
02x−2
22
Multiple Choice
Add: x−25+x+73
(x−2)(x+7)8
2x+58
(x−2)(x+7)8x
(x−2)(x+7)8x+29
23
Multiple Choice
Simplify: 20a5c45a3c10
a24c6
41a2c6
4a21c6
4c61a2
24
Multiple Choice
Simplify: 6x5y9−30x5y8
5y1
−5y
−5x10y17
y−5
25
Multiple Choice
Simplify: x2+3x−18x2+6x
x+3x
x−3x
x−3x+6
x+6x
26
Multiple Choice
Simplify: x2−4x2+7x+10
x+2x−5
x−2x−5
x+2x+5
x−2x+5
27
Multiple Choice
Simplify: x2−6x+5x2−25
x−1x+5
x−1x−5
x+1x+5
x+1x−5
28
Multiple Choice
29
Multiple Choice
30
Multiple Choice
10 / 14a4
21 / 49a4
3 / a4
3 / 7a4
31
Multiple Choice
32
Multiple Choice
33
Multiple Choice
Divide the following expressions.
(x+5)4(x−4)
16(x+5)(x+4)2(x−4)
Can't be simplified
4(x−4) (x+5)
34
Multiple Choice
Simplify completely.
a−41÷5a2−20aa−6
a+32a(a+7)
a−65a
a−7
a+3a+7
35
Multiple Choice
b2+2b−33b2−6b⋅b−2b2−8b+7
b(b−2)1; b=0, 2
3b2(b+6)b−3; b=−6, 0
b−8; b = all real numbers
b+33b(b−7); b =−3, 1, 2
36
Multiple Choice
x2−5x−2424+5x−x2⋅7x2+21x8x+24
7; x = all real numbers
3xx+5; x=0
21x; x = all real numbers
−7x8; x=−3, 0, 8
37
Multiple Choice
n2−9n+20n2+4n−32⋅5n−30n2−11n+30
16n4n+6; n=0
(n−4)(n+6)6n; n=−6, 4
n+83(n−8); n=−8
5n+8; n=4, 5, 6
38
Multiple Choice
Simplify the expression.
39
Multiple Choice
40
Multiple Choice
41
Multiple Choice
42
Multiple Choice
Subtract and simplify. a+26−a2+6a+812
a+46(a+2)
a+46
(a+2)(a+4)6a+12
(a+2)(a+4)6(a+2)
43
Multiple Choice
A
B
C
D
Simplify Rational Expressions
Multiply Rational Expressions
Divide Complex Rational Expressions
Add and Subtract Rational Expressions
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