Adding And Subtracting Rational Expressions Adding and Subtracting Rational Expressions Worksheet 1. Simplify the expression. 5x2x-1-2xx+2 a. x + 12(2x - 1)(x + 2) c.x(3x + 12)(2x - 1)(x + 2)
b. x(x + 12)(2x - 1)(x + 2) d. x(x - 12)(2x - 2)(x + 1)
Ans. B 2. Simplify the expressio. x+3x+4-xx+5 a. 15(x + 4)(x + 5) b. 4x + 15(x + 4)(x + 5) c. 2(x + 2)(x + 4)(x + 5) d. 8x + 15(x + 4)(x + 5) Ans. B 3. Simplify the expression. 3xx+3-2xx-1 Know More About What is the Area of a Triangle
a. x(x - 9)(x + 3)(x – 1) c. x(x + 9)(x + 3)(x – 1)
b. x(x + 3)x - 1 d. xx - 1
Ans. A 4. Simplify the expression. 3xx - 5+x - 4x + 3 a. 4(x2 + 5x)(x + 3)(x – 5) b. 2(x2 + 5)(x + 3)(x – 5) c. 4(x2 + 5)(x + 3)(x – 5) d. 2(x + 1)(x - 5)(x + 3) Ans. C 5. Simplify : 10x2x2 - 8100 + - 9x(x - 10)x2 - 8100 a. 1x + 90 b. xx - 90 c. 1x – 90 d. xx + 90 Ans. B 6. To add rational expressions with like denominators, add their numerators and write the result over the _________. a. sum of the numerators b. sum of the denominators c. common denominator d. common numerator Ans. C 7. Simplify : 1(x + 1) + (x - 2)(x + 1) Learn More On :- The Area of a Triangle
a. (x - 1)(x + 1) c. (x - 2)(x + 1)
b. 1x + 1 d. x(x + 1)
Ans. A 8. Simplify : x2 + 3(3 -x4) - x2 - 4(3 -x4) a. - 73-x4 c. 73+x4
b. 83-x4 d. 73-x4
Ans. D 9. Add 4x and 1 - xx. a.4 – xx c. 5- x3x
b. 5 - xx d. 5 - x2x
Ans. B 10. Simplify : 10 - xx + 5 + 5x + 5 a.15 - xx + 5 c. 15 + xx + 5 Ans. A
b. xx + 5 d. 15x + 5
Simplifying Algebraic Expressions The algebraic expressions have the variables and the constants. The algebraic expressions are the finite combination of the symbols that are formed according to the rules of the context. The algebra is an expression which is used to designate the value for the given values in the expression. The expression might be depending on the values assigned to the values assigned in the expression. The expression is the syntactic concept in the algebra. The online provides the connectivity between the tutors and the students. This article has the information about learn online algebraic expressions. Simplifying Algebraic Expressions Below are the examples on Simplifying algebraic expressions Example 1 Compute the factors for the expression x2+ 56x+ 768.
Solution :- The given expression is x2+ 56x+ 768. Step 1: x2+ 56x+ 768 = x2+24x+ 32x+ (24x 32) Step 2: x2+ 56x+ 768 = x(x+24) + 32(x +24) Step 3: x2+ 56x+ 768 = (x+24) (x+32) Step 4: x+24 and x+32 The factors for the given expression x2+ 56x+ 768 are (x +24) and (x +32). Example 2 Compute the factors for the expression x2+ 76x+ 1440. Solution :- The given expression is x2+ 76x+ 1440. Step 1: x2+ 76x+ 1440 = x2+36x+ 40x+ (36x 40) Step 2: x2+ 76x+ 1440 = x(x+36) + 40(x +36) Step 3: x2+ 76x+ 1440 = (x+36) (x+40) Step 4: x+36 and x+40 The factors for the given expression x2+ 76x+ 1440 are (x +36) and (x +40). Example 3 Read More On :- Area of the Triangle
Simplify the expression 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y. Solution :- The given expression is 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y. Step 1: 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y = x y (24 +14 +10) + x2y (10+ 16) Step 2: 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y = 48 x y + x2y (10+ 16) Step 3: 24xy + 10 x2y + 14 x y + 16 x2y + 10 x y = 48 x y + 26 x2y The value for the given expression 12xy + 13 x2y + 16 x y + 20 x2y is 48 x y + 26 x2y. Algebraic Expressions Practice Problems Below are the practice problems on algebraic expressionsDetermine the value for the algebraic expression x2+ 50x+ 600. Answer: (x + 30) (x + 20) Simplify the expression 80 x y + 15 x2y + 5 x y + 17 x2y. Answer: 85 x y + 32 x2y.
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