PREALGEBRA 15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
1 Whole Numbers 2 The Language Of Algebra 3 Integers 4 Fractions 5 Decimals 6 Percents 7 The Properties Of Real Numbers 8 Solving Linear Equations 9 Math Models And Geometry 10 Polynomials 11 Graphs Chapter2: The Language Of Algebra
2.1 Use The Language Of Algebra 2.2 Evaluate, Simplify, And Translate Expressions 2.3 Solving Equations Using The Subtraction And Addition Properties Of Equality 2.4 Find Multiples And Factors 2.5 Prime Factorization And The Least Common Multiple Chapter Questions Section2.2: Evaluate, Simplify, And Translate Expressions
Problem 2.25TI: Evaluate: y+4when (a) y=6 (b) y=15 Problem 2.26TI: Evaluate: a5When (a) a=9 (b) a=17 Problem 2.27TI: Evaluate: 8x3,when (a) x=2 (b) x=1 Problem 2.28TI: Evaluate: 4y4,when y=3(b) y=5 Problem 2.29TI: Evaluate: x2when x=8. Problem 2.30TI: Evaluate: x3when x=6. Problem 2.31TI: Evaluate: 2xWhen x=6. Problem 2.32TI: Evaluate: 3xWhen x=4. Problem 2.33TI: Evaluate: 2x+5y4when x=11and ? y=3 Problem 2.34TI: Evaluate: 5x2y9when x=7and y=8 Problem 2.35TI: Evaluate: 3x2+4x+1when x=3. Problem 2.36TI: Evaluate: 6x24x7when x=2. Problem 2.37TI: Identify all terms in the given expression, and their coefficients: 4x+3b+2 Problem 2.38TI: Identify all terms in the given expression, and their coefficients: 9a+13a2+a3 Problem 2.39TI: Identify the like terms in the list or the expression: 9,2x2,y2,8x3,15,9x,11y2 Problem 2.40TI: Identify the like terms in the list or the expression: 4x3+8x2+19+3x2+24+6x3 Problem 2.41TI: Simplify: 7x+9+9x+8 Problem 2.42TI: Simplify: 5y+2+8y+4y+5 Problem 2.43TI: Simplify: 3x2+9x+x2+5x Problem 2.44TI: Simplify: 11y2+8y+y2+7y Problem 2.45TI: Translate the given word phrase into an algebraic expression: the difference of 47and 41 (b) the... Problem 2.46TI: Translate the given word phrase into an algebraic expression: the difference of 17and 19 (b) the... Problem 2.47TI: Translate the given word phrase into an algebraic expression: Eleven more than x (b) Fourteen less... Problem 2.48TI: Translate each word phrase into an algebraic expression: (a) 19more than j (b) 21less than 2x Problem 2.49TI: Translate each word phrase into an algebraic expression: Four times the sum of pand q (b) the sum of... Problem 2.50TI: Translate each word phrase into an algebraic expression: The difference of two times xand 8 (b) two... Problem 2.51TI: The length of a rectangle s 5inches less than the width. Let wrepresent the width of the rectangle.... Problem 2.52TI: The width of a rectangle is 2meters greater than the length. Let lrepresent the length of the... Problem 2.53TI: Geoffrey has dimes and quarters in his pocket. The number of dimes s seven less than six times the... Problem 2.54TI: Lauren has dimes and nickels in her purse. The number of dimes is eight more than four times the... Problem 69E: In the following exercises, evaluate the expression for the given value. 7x+8when x=2 Problem 70E: In the following exercises, evaluate the expression for the given value. 9x+7when x=3 Problem 71E: In the following exercises, evaluate the expression for the given value. 5x4when x=6 Problem 72E: In the following exercises, evaluate the expression for the given value. 8x6when x=7 Problem 73E: In the following exercises, evaluate the expression for the given value. x2when x=12 Problem 74E: In the following exercises, evaluate the expression for the given value. x3when x=5 Problem 75E: In the following exercises, evaluate the expression for the given value. x5when x=2 Problem 76E: In the following exercises, evaluate the expression for the given value. x4when x=3 Problem 77E: In the following exercises, evaluate the expression for the given value. 3xwhen x=3 Problem 78E: In the following exercises, evaluate the expression for the given value. 4xwhen x=2 Problem 79E: In the following exercises, evaluate the expression for the given value. x2+3x7when x=4 Problem 80E: In the following exercises, evaluate the expression for the given value. x2+5x8when x=6 Problem 81E: In the following exercises, evaluate the expression for the given value. 2x+4y5when x=7, y=8 Problem 82E: In the following exercises, evaluate the expression for the given value. 6x+3y9when x=6,? y=9 Problem 83E: In the following exercises, evaluate the expression for the given value. (xy)2when x=10, y=7s Problem 84E: In the following exercises, evaluate the expression for the given value. (x+y)2when x=6, y=9 Problem 85E: In the following exercises, evaluate the expression for the given value. a2+b2when a=3, b=8 Problem 86E: In the following exercises, evaluate the expression for the given value. r2s2when r=12, s=5 Problem 87E: In the following exercises, evaluate the expression for the given value. 2l+2wwhen l=15, w=12 Problem 88E: In the following exercises, evaluate the expression for the given value. 2l+2wwhen l=18, w=14 Problem 89E: In the following exercises, evaluate the expression for the given value. 15x2+6x+2 Problem 90E: In the following exercises, list the terms in the given expression. 11x2+8x+5 Problem 91E: In the following exercises, list the terms in the given expression. 10y3+y+2 Problem 92E: In the following exercises, list the terms in the given expression. 9y3+y+5 Problem 93E: In the following exercises, identify the coefficient of the given term. 8a Problem 94E: In the following exercises, identify the coefficient of the given term. 13m Problem 95E: In the following exercises, identify the coefficient of the given term. 5r2 Problem 96E: In the following exercises, identify the coefficient of the given term. 6x3 Problem 97E: In the following exercises, identify all sets of like terms. x3,8x, 14, 8y, 5, 8x3 Problem 98E: In the following exercises, identify all sets of like terms. 6z, 3w2, 1, 6z2, 4z, w2 Problem 99E: In the following exercises, identify all sets of like terms. 9a, a2, 16ab, 16b2, 4ab, 9b2 Problem 100E: In the following exercises, identify all sets of like terms. 3, 25r2, 10s, 10r, 4r2, 3s Problem 101E: In the following exercises, simplify the given expression by combining like terms. 10x+3x Problem 102E: In the following exercises, simplify the given expression by combining like terms. 15x+4x Problem 103E: In the following exercises, simplify the given expression by combining like terms. 17a+9a Problem 104E: In the following exercises, simplify the given expression by combining like terms. 18z+9z Problem 105E: In the following exercises, simplify the given expression by combining like terms. 4c+2c+c Problem 106E: In the following exercises, simplify the given expression by combining like terms. 6y+4y+y Problem 107E: In the following exercises, simplify the given expression by combining like terms. 9x+3x+8 Problem 108E: In the following exercises, simplify the given expression by combining like terms. 8a+5a+9 Problem 109E: In the following exercises, simplify the given expression by combining like terms. 7u+2+3u+1 Problem 110E: In the following exercises, simplify the given expression by combining like terms. 8d+6+2d+5 Problem 111E: In the following exercises, simplify the given expression by combining like terms. 7p+6+5p+4 Problem 112E: In the following exercises, simplify the given expression by combining like terms. 8x+7+4x5 Problem 113E: In the following exercises, simplify the given expression by combining like terms. 10a+7+5a2+7a4 Problem 114E: In the following exercises, simplify the given expression by combining like terms. 7c+4+6c3+9c1 Problem 115E: In the following exercises, simplify the given expression by combining like terms.... Problem 116E: In the following exercises, simplify the given expression by combining like terms. 5b2+9b+10+2b2+3b4 Problem 117E: In the following exercises, translate the given word phrase into an algebraic expression. The sum of... Problem 118E: In the following exercises, translate the given word phrase into an algebraic expression. The sum of... Problem 119E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 120E: In the following exercises, translate the given word phrase into an algebraic expression. 8 less... Problem 121E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 122E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 123E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 124E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 125E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 126E: In the following exercises, translate the given word phrase into an algebraic expression. 3 less... Problem 127E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 128E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 129E: In the following exercises, translate the given word phrase into an algebraic expression. The sum of... Problem 130E: In the following exercises, translate the given word phrase into an algebraic expression. The sum of... Problem 131E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 132E: In the following exercises, translate the given word phrase into an algebraic expression. The... Problem 133E: In the following exercises, translate the given word phrase into an algebraic expression. Eight... Problem 134E: In the following exercises, translate the given word phrase into an algebraic expression. Seven... Problem 135E: In the following exercises, translate the given word phrase into an algebraic expression. Five times... Problem 136E: In the following exercises, translate the given word phrase into an algebraic expression. Nine times... Problem 137E: In the following exercises, translate, write an algebraic expression. Adele bought a skirt and a... Problem 138E: In the following exercises, write an algebraic expression. Eric has rock and classical CDs in his... Problem 139E: In the following exercises, write an algebraic expression. The number of girls in a second-grade... Problem 140E: In the following exercises, write an algebraic expression. Marcella has 6fewer male cousins than... Problem 141E: In the following exercises, write an algebraic expression. Greg has nickels and pennies in his... Problem 142E: In the following exercises, write an algebraic expression. Jeannette has $5 and $10 bills in her... Problem 143E: In the following exercises, write an algebraic expression to solve the problem 143. Car insurance... Problem 144E: In the following exercises, write an algebraic expression to solve the problem 144. Home insurance... Problem 145E: Explain why “the sum of xand y” is the same as “the sum of yand x,” but “the difference of xand y”... Problem 146E: Explain the difference between “4 times the sum of xand y” and “the sum of 4 times xand y.” Problem 146E: Explain the difference between “4 times the sum of xand y” and “the sum of 4 times xand y.”
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Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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