Unit 5 "Algebraic Fractions" Review Problems (Only Do Flash Cards)

(-x+9)/(x+5);x≠7,x≠-5

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. (-x^2 +16x-63)/(x^2 -2x-35)

-3z^3/xy^7;x≠0,y≠0,z≠0

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. (24x^2 yz^4)/(8x^3 y^8 z)

1;x≠(2/5)

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. (5x-2)/(5x-2)

7x/10;x≠0

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. (70x^2)/(100x)

x-x^2;none

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. (x-x^4)/(x^2 +x+1)

5x^2;x≠0

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. Example: 1/x-1;x=/1 (60x^3)/(12x)

(x+y)^4;x≠-y,y≠-x

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260. [(x+y)^-6]/[(x+y)^-10]

(13y^6)/(2x^4 z^2);x≠0,z≠0

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260.(26x^2 y^6 z^8)/(4x^6 z^10)

1/(x-3);x≠-7,x≠3

Reduce the Algebraic Fraction. Then, state the exclusion. For none, put "none". Use a semi-colon to separate the two. Use the "not equal to" character from the character map. It looks like this ≠, and its Unicode is U+2260.(x+7)/(x^2 +4m-21)

(a^3 -32)/(32a^2)

Simplify the complex fraction. [(a/8)-(4/a^2]÷4

(x+7)/(2x)

Simplify the complex fraction. {[(x+1)/(x-5)]-[(2)/(x+3)]}÷{[(x)/(x+3)]+[(x)/(x-5)]}

(6x^2 -108x+288)/(-632x+3792)

Simplify the complex fraction. {[(x-6)/(6)]-[(x-2)/(x-6)]}÷[(36/-2)+(4/9)]

x=1/6

Solve the following equations that contain fractions. (1/6x^2)=(1/3x^2)-(1/x)

x=21

Solve the following equations that contain fractions. (1/x)+[(3x+12)/(x^2 -5x)]=[(7x-56)/(x^2 -5x)]

x=-1/5

Solve the following equations that contain fractions. (1/x)=(6/5x)+1

x=26/5

Solve the following equations that contain fractions. [(1)/(x-2)]+[(1)/(x^2 -7x+10)]=[(6)/(x-2)]

x=15

Solve the following equations that contain fractions. [(24)/(x-3)]=[(36)/(x+3)]

x=7 or x=-7

Solve the following equations that contain fractions. [(4)/(x-1)]=[(x+1)/(12)]

x=-4

Solve the following equations that contain fractions. [(5)/(x^3 +5x^2)]=[(4)/(x+5)]+(1/x^2)

x=5 or x=-20

Solve the following equations that contain fractions. [(x+5)/(15)]=[(10)/(x+10)]

x=1 or x=4

Solve the following equations that contain fractions. [(x+5)/(x^2 +x)]=[(1)/(x^2 +x)]-[(x-6)/(x+1)]

x=17/4

Solve the following equations that contain fractions. [(x-3)/(x+2)]=(1/5)

-1

State the value of the expression(In Fraction Form): (1)/[(2^0)-(2^1)]

9/64

State the value of the expression(In Fraction Form): (2^-3)+(4^-3)

1 1/216

State the value of the expression(In Fraction Form): (4^0)+(6^-3)

1

State the value of the expression(In Fraction Form): (55x^2)^0

1/x

Multiply or divide the algebraic expression. [(x^2 y)/(xy^2)]/[(x^2)/(y)]

3/7

Multiply or divide the algebraic expression. {[y^2 -16]/[(y+4)(y+4)]}/{[7y-28]/[3y+12]}

(x+7)/(x+1)(x-1)

Multiply or divide the algebraic expression. Put answer in factored form. [(x+4)/(x^2 -1)]*[(x^2 +3x-28)/(x^2 -16)]

(x-2)(x-6)/(x-6)

Multiply or divide the algebraic expression. Put the answer in factored form. [(x^2 -4x+4)/(x-6)]*[(x^2 -36)/(x^2 -8x+12)]

1/512x^9

Express with positive exponents(In Fraction Form and in Simplified Form): (8x^3)^-3

x^3n

Express with positive exponents(In Fraction Form and in Simplified Form): (x^6n)/(x^3n)

4/x+y

Express with positive exponents(In Fraction Form and in Simplified Form): 4(x+y)^-1

1/25x^6

Express with positive exponents(In Fraction Form and in Simplified Form): [(5x^3)^-2]/(2)

(x+8)(x-4)

Find the least common denominator of the set of fractions. -4/(x+8),(x-10)/(x^2 +4x-32)

4(x-2)(x-4)

Find the least common denominator of the set of fractions. 1/2(x-2),2/(x^2 -6x+8),3/4

2y^5

Find the least common denominator of the set of fractions. 1/2y^2,5/y^5

30

Find the least common denominator of the set of fractions. 3/5,4/6

24

Find the least common denominator of the set of fractions. 3/6,4/3,2/8

90

Find the least common denominator of the set of fractions. 3/9,4/10,2/5

x^2 -16

Find the least common denominator of the set of fractions. 5/(x-4),(x+2)/(x+4),x/(x^2 -16)

2(a^2 -1)

Find the least common denominator of the set of fractions. 8a/(a^2 -1),1/(2a+2)

4(x+1)

Find the least common denominator of the set of fractions. x/4,2/(x+1)

(4y-3x)/(xy)

Find the sum or difference of the two algebraic fractions. (4/x)-(3/y)

(22x+7)/(16)

Find the sum or difference of the two algebraic fractions. [(2x+7)/(16)]+[(5x)/(4)]

(-7x-69)/(x-5)(x+3)(x-9)

Find the sum or difference of the two algebraic fractions. [(4)/(x^2 -2x-15)]-[(11)/(x^2 -14x+45)]

(24x+17)/(27x)

Find the sum or difference of the two algebraic fractions. [(5)/(27x)]+[(8x+4)/(9x)]

(-5x+40)/(x-8)(x+2)(x+12)

Find the sum or difference of the two algebraic fractions. [(5)/(x^2 -6x-16)]-[(10)/(x^2 +4x-96)]

7/x

Multiply or divide the algebraic expression. [(14x-7)/(x^2 +3x-4)]*[(x^2 +6x+8)/(2x^2 +5x-3)]/[(x^2 +2x)/(x^2 +2x-3)]

(6xz^2)/(7y)

Multiply or divide the algebraic expression. [(15x^2 y^3)/(8z^3)]*[(16z^5)/(35xy^4)]

(x-3)/(x-5)

Multiply or divide the algebraic expression. [(2x^2 -18)/(x^2 -8x+15)]/[(10x+30)/(5x-15)]

5xy/8z

Multiply or divide the algebraic expression. [(40x^2 y^2)/(8z)]/(8xy)

3ax/5by

Multiply or divide the algebraic expression. [(4x)/(5y)]*[(3a)/(4b)]

-2x

Multiply or divide the algebraic expression. [(x+8)/(x-5)]*[(3x-x^2)/(8+x)]/[(x-3)/(2x-10)]