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WorksheetsReview of Rational Expressions and equations
Total questions: 101
Worksheet time: 5hrs 3mins
Simplify:
x2−x−20x2+10x+24
x+4x+6
(x+6)(x+4)
x+6
x−5x+6
8(x+9)(x+8)⋅(x+8)(x−1)(x−1)
8(x+9)
8(x−1)
81
8(x+9)(x+8)
x−3x2−x−6⋅x+2x+9
x+9
x−2x−3
x+2x+9
x−3
Multiply and Simplify:
4x+3⋅x2+4x+3x+2
x+24(x+3)
4(x+1)x+2
4(x+3)x+2
(x+2)4(x+1)
Multiply & Simplify:
x2+10x+21x3−9x⋅x2+5x−24x2+7x
x+82x
x+8x2
x+4x
x+8x2(x−9)
Simplify:
7(a+2)a−8⋅a+27(a+2)
a+27(a+2)
a+2a−8
7a+2
7a−8
Simplify:
x2−81x+9
x+9x−9
x−91
x+9
x+91
Simplify:
a+2a2+3a+2⋅a+1a−9
3a+7
a−9
(a−7)(a−5)a+10
5
Multiply:
x2+3x−402x+16⋅x2−14x+48x2−11x+30
53x2(x+5)
x−82
x−2
6x2(x−4)
x−28⋅x+105x+50
x+4
x−4
5x+4
x−240
x−810x×6x6x(x−8)
35x
x−810x
10x
6x6x(x−8)
Multiply and Simplify
4x+3⋅x2+4x+3x+2
x+24(x+3)
4(x+1)x+2
4(x+3)x+2
x+24(x+1)
Multiple the expressions
6p4p3⋅97p4
54p28p7
54p11p12
2714p11
2714p6
Multiply the expressions
2(n+3)(n−1)(n−5)⋅n−52(n+3)
n−1
n+32(n−1)
2(n−1)
1
Multiply the expression
7(r+2)r−8⋅r+27(r+2)
r+27(r−2)
r+2r−8
7r+2
7r−8
x−810x×6x6x(x−8)
35x
x−810x
10x
6x6x(x−8)
Multiply and Simplify
4x+3⋅x2+4x+3x+2
x+24(x+3)
4(x+1)x+2
4(x+3)x+2
x+24(x+1)
10 / 14a4
21 / 49a4
3 / a4
3 / 7a4
5x / 3
10x / (x - 8)
10x
6x(x - 8) / 6x
(x + 9)
(x - 3) / (x + 2)
(x + 9) / (x + 2)
(x - 3)
Multiply and Simplify
4(x+3)/(x+2),
(x+2)/4(x+1)
(x+2)/4(x+3),
4(x+1)/(x+2),
Multiply the Rational Expression
A
B
C
D
Multiply the Rational Expression
A.
B.
C.
D.
1 / 5p
12 / 50p
2 / 10p
8 / 16p
1 / 5p
12 / 50p
2 / 10p
8 / 16p
Simplify:
x2−x−20x2+10x+24
x+4x+6
(x+6)(x+4)
x+6
x−5x+6
8(x+9)(x+8)⋅(x+8)(x−1)(x−1)
8(x+9)
8(x−1)
81
8(x+9)(x+8)
x−3x2−x−6⋅x+2x+9
x+9
x−2x−3
x+2x+9
x−3
Multiply and Simplify:
4x+3⋅x2+4x+3x+2
x+24(x+3)
4(x+1)x+2
4(x+3)x+2
(x+2)4(x+1)
Multiply & Simplify:
x2+10x+21x3−9x⋅x2+5x−24x2+7x
x+82x
x+8x2
x+4x
x+8x2(x−9)
Simplify:
7(a+2)a−8⋅a+27(a+2)
a+27(a+2)
a+2a−8
7a+2
7a−8
Simplify:
x2−81x+9
x+9x−9
x−91
x+9
x+91
Simplify:
a+2a2+3a+2⋅a+1a−9
3a+7
a−9
(a−7)(a−5)a+10
5
Multiply:
x2+3x−402x+16⋅x2−14x+48x2−11x+30
53x2(x+5)
x−82
x−2
6x2(x−4)
Simplify: 6x5y9−30x5y8
5y1
−5y
−5x10y17
y−5
Simplify: x2+3x−18x2+6x
x+3x
x−3x
x−3x+6
x+6x
Simplify: x2+4xx2+7x+12
x+4x+3
xx−3
xx+3
x2x+3
Identify all the values for which x2+3x−102x2−4x is undefined.
-2 and 5
2 and -5
0, 2, and -5
0, -2, and 5
Simplify: 6p4p3⋅97p4
54p28p7
54p11p12
2714p11
2714p6
Simplify: 21ac15a2b2⋅6ab314a4c2
3b5a4c
3a2b3c5a6b2c2
3b10a4c
5a4bc
Simplify: 2n+6n2−6n+5⋅n−52n+6
n−1
22(n−1)
2(n−1)
1
Simplify: y−6y2+8y+15⋅y2−9y2−9y+18
y+5
y+51
y−6(y+5)(y+6)
1
Divide the Rational Expression
A
B
C
D
2a2b6
1/2a2b6
b6/2a2
2b6/a2
Divide the Rational Expression
A
B
C
D
Divide
1/6
x+10/ 6x+60
x+8/ 6x+60
(x+10)(x+8)/ 6x+60
Divide the Rational Expression
A
B
C
D
Divide the Rational Expression
k−49
8k+7
6
k−3
Divide the Rational Expression
8(a−9)7
56a2
5a1
a−5a−9
Divide the Rational Expression
k−49
8k+7
6
k−3
Simplify the expression.
Simplify the expression.
Simplify the expression.
Simplify the expression.
Subtract
3x+4x−5−3x+43x−5
3x+4−2x−10; x=−34
3c+4−2x; x=−34
−2x; x=0
−2x−10; x=0
Add
x+23x−2+4x−12x
(x+2)(4x−1)14x2−7x+2; x=−2, 41
(x+2)(4x−1)14x2−9x−2; x=−2, 1
(x+2)(4x−1)12x2−7x+2; x=−2, 41
(x+2)(4x−1)14x2−7x+2; x=−41, 2
Subtract
2x+3x−2x−32x+1
(2x−3)(2x+3)−2x2−11x−3; x=±32
(2x−3)(2x+3)−2x2−11x−3; x=±23
(2x−3)(2x+3)−2x2+5x+3; x=±23
(2x−3)(2x+3)−2x2+5x+3; x=±32
Subtract
x2+4x−326−x−4x−5
(x+8)(x−4)−x2+3x−34; x=−8, 4
(x+8)(x−4)−x2+3x−34; x=−4, 8
(x+8)(x−4)−x2−3x+46; x=−8, 4
(x+8)(x−4)−x2−3x+46; x=−4, 8
Subtract
2x+7x2−3−2x+72x−5
2x+7x2−2x−8; x=−27
x2−2x−8; x=0
x2−2x+2; x=0
2x+7x2−2x+2; x=−27
Simplify (add & divide)
x−3x−12x1+3x2
6x2−6x7x−21; x=0, 1, 3
6x2−6x7x−21; x=1, 3
6x3−6x27x2−21x; x=0, 1, 3
6x3−6x27x2−21x; x=1, 3
Add
x2−5x7x+x−5x2
x(x−5)x3+7x; x=5
x−5x2+7; x=0, 5
(x2−5x)(x−5)x4−5x3+7x2−35x; x=5
(x2−5x)(x−5)x4−5x3+7x2−35x; x=0, 5
Add
4x−72x−3+4x−72x−3
4x−74x−6; x=−47
4x−74x2−6x+9; x=47
4x−74x−6; x=47
8x−144x−6; x=−814
Add
x2−362x+x+6x+4
(x+6)(x−6)x2−24; x=±6
(x+6)(x2−36)x3+6x2−24x; x=−6, 36
(x+6)(x−6)x2+2x−24; x=±6
(x+6)(x−6)x2+12x+24; x=±6
Add
x2−x−202+x2+7x+123
(x−5)(x+4)(x+3)5x−9; x=−5, 3 4
(x−5)(x+4)(x+3)5x−11; x=−4,−3, 5
(x−5)(x+4)(x+3)5x−11; x=−5, 3 4
(x−5)(x+4)(x+3)5x−9; x=−4,−3 5
(7-m)
A
B
C
D
A
B
C
D
A
B
C
D
Simplify:
10x23x+5x27
3x32
10x23x+7
x21
10x23x+14
Simplify:
x5−6x23x
x(6x2)−33x2
6x30−3x
6x−6x230x−3x
6x227x
Simplify:
x−13+6x5
6x(x−1)23x−5
6x(x−1)13x−5
6x213x−5
17x−6
Simplify:
5x2x−x+73
5x(x+7)2x2−x
5x(x+7)7x−21
5x(x+7)2x2+29x
5x(x+7)2x2−14x
Simplify:
2x+84x−x12
x(2x+8)4x2+24x−96
x(2x+8)4x2−24x+96
x(2x+8)4x2−24x−96
x(2x+8)4x2+24x+96
Simplify:
6x25x+x−64
6x2(x−6)29x2−30x
6x2(x−6)5x2−6x
6x2(x−6)−19x2−30x
no solution
Simplify:
x+43+x−22
(x+4)(x−2)5x+2
(x−2)(x+4)3x−6
(x−2)(x+4)5x−10
(x−2)(x+4)6x+24
Simplify:
2x−35x−3x+14x2
no solution
(2x−3)(3x+1)−8x3+27x2+5x
(2x−3)(3x+1)−8x3+3x2+5x
(2x−3)(3x+1)7x2+17x
Simplify:
x+5−3x+2x−87
(x+5)(2x−8)−6x2+31x+35
(x+5)(2x−8)−6x2−17x+35
(x+5)(2x−8)25x+35
(x+5)(2x−8)6x2−17x+35
Simplify:
x−48x−3x+111
(3x+1)(x−4)24x2−3x−44
(3x+1)(x−4)24x2+19x−44
(3x+1)(x−4)24x2−3x+44
(3x+1)(x−4)13x2+52x
Simplify:
26x−8x5x
2(8x)48x2−5x
8x24x2−5x
8x19x
8x24x2−10x
Simplify:
2x5+12x8x
12x38x
12x8x+30
12x25+8x
24x276x
Simplify:
157x−32x
1517x
153x
4519x
15−3x
Simplify:
5x212x+x6
5x3−18x2
5x218x
5x242x2
5x242x
Simplify:
3x24x+x+52
3x2(x+5)10x2+45x
3x2(x+5)6x2+24x
3x2(x+5)10x2+20x
3x2(x+5)4x2+26x
Simplify:
2x+36−x−18
(x−1)(2x+3)−10x+18
(x−1)(2x+3)−10x−30
(x−1)(2x+3)22x+18
(x−1)(2x+3)22x+30
