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In Chapter 4, Algebraic Expressions, you were shown how to expand various algebraic products that were written in a factorised form; that is, each product had to be rewritten without grouping symbols. For example: 3a(5 − 2 a) → 15 a − 6 a2 (a − 2)(a + 7) → a2 + 5 a − 14 (x + 5) 2 → x2 + 10 x + 25 (m + 2)(m − 2) → m2 − 4
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Preview and Download !Multiplying Rational Expressions Date_____ Period____ Simplify each expression. 1) 59 n 99 ⋅ 80 33 n 4720 3267 2) 53 43 ⋅ 46 n2 31 2438 n2 1333 3) 93 21 n ⋅ 34 n 51 n 62 21 n 4) 79 n 25 ⋅ 85 ... Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Multiplying Rational Expressions
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Preview and Download !Worksheet 2:6 Factorizing Algebraic Expressions Section 1 Finding Factors Factorizing algebraic expressions is a way of turning a sum of terms into a product of smaller ones. The product is a multiplication of the factors. Sometimes it helps to look at a simpler case before venturing into the abstract. The number 48 may be written as a product in a
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Preview and Download !To make an algebraic expression, replace some numbers in a numerical expression with variables. Examples of numerical expressions: 7 + 1 4 × 9 (2 + 6) − (3 × 5) Examples of algebraic expressions: w + 1 4 × T (2 + t) − (3 × h) 2. Write an expression for the distance a car would travel at the speed and in the time given.
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Preview and Download !9) Add the following algebraic expressions: y 10) The length of a rectangle is 5 units more than half of its width. Then a) What is its length as an algebraic expression? b) Find an expression for its area. Assume its width to be w. 11) Evaluate the following algebraic expressions at the given values: a) x 3, when x 16 b) 81 x , when x 3 15 5
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Preview and Download !Expressions involving two variables can be written. Answers: 1.—4. Teacher check 5.x 2+ 3xy + 5y2 6. 22 + x (–2xy) + y2 7.– 3x2 + 4xy + (–3y2) 8. 4 blue a2 pieces, 2 red ab pieces, 2 yellow b2 pieces Activity 1.3 Expression Grab Objective: To practice writing and simplifying algebraic expressions, using the Zero Principle.
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Preview and Download !Evaluating Variable Expressions Date_____ Period____ Evaluate each using the values given. 1) n2 − m; use m = 7, and n = 8 57 2) 8(x ... Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title: Evaluating Variable Expressions
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Preview and Download !Adding + Subtracting Rational Expressions Date_____ Period____ Simplify each expression. 1) u + 5v 8v2u2 − u − 6v 8v2u2 11 8vu2 2) 5n 30 m + 2m + 4n 30 m 9n + 2m 30 m 3) a + 2b 6a3 − 5a + 4b 6a3 ... Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com. Title: Adding+Subtracting ...
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Preview and Download !Algebraic expressions are useful to us as a way of representing quantities without assigning explicit numerical values. For example, the perimeter of a rectangle is twice the length plus twice the width. Let the length be represented by l, the width by w, and the perimeter by P. Then we have the formula P = 2l+2w
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