High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
1st Edition
ISBN: 9780133185614
Author: Prentice Hall
Publisher: Prentice Hall
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Textbook Question
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Chapter 11.1, Problem 16P

Writing Why must the denominator of a rational expression not be equal to 0?

Expert Solution & Answer
Check Mark
To determine

To explain : the statement

Explanation of Solution

Given information : Why must the denominator of a rational expression not be equal to 0

If denominator of a rational expression then value is infinite or not exist

So, the denominator must not be equal to 0

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Chapter 11.1, Problem 15P
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Chapter 11.1, Problem 17P

Chapter 11 Solutions

High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9

Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...
Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - The length of a rectangle is 3h+2 and the width is...Ch. 11.1 - The length of a rectangle is x2. Its area is 2x4....Ch. 11.1 - The area of a rectangle is x29. Its width is x3....Ch. 11.1 - Writing Why must the denominator of a rational...Ch. 11.1 - The area of a rectangle is 16a2. The length is 2a....Ch. 11.1 - Are the given factors opposites? Explain 3d7;73d...Ch. 11.1 - The ratio of the area of a small circle to a...Ch. 11.1 - A pilot packed two rectangular suitcases for her...Ch. 11.1 - The numerical area of a circle with radius c is...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Simplify each expression. State any excluded...Ch. 11.1 - Your brothers car is traveling 40mih faster than...Ch. 11.1 - For Exercises 1-4, choose the correct letter. What...Ch. 11.1 - For Exercises 1-4, choose the correct letter. What...Ch. 11.1 - For Exercises 1-4, choose the correct letter. What...Ch. 11.1 - For Exercises 1-4, choose the correct letter. What...Ch. 11.1 - When an object is free falling, the equation is...Ch. 11.2 - Multiply. 2z4+5z3zCh. 11.2 - Multiply. x9x+7xx6Ch. 11.2 - Multiply. 5w255w10ww225Ch. 11.2 - Multiply. 16u322u3u356u24Ch. 11.2 - Multiply. j2+11j4226j5239jj3Ch. 11.2 - Multiply. 15r18r2+9r273r3r2Ch. 11.2 - Multiply. 45q23q6q214q2+10q35q2+11q10Ch. 11.2 - Multiply. 4y+172y332y222y39Ch. 11.2 - Multiply. 12v2+18v84v4v249vCh. 11.2 - Multiply. 10x27x+26x213x633x+7Ch. 11.2 - Which of the following is the reciprocal of x22x8?...Ch. 11.2 - Find the reciprocal of each expression. x24x+18Ch. 11.2 - Find the reciprocal of each expression. 3q22q213Ch. 11.2 - Divide. 5y+73y+195y+7y6Ch. 11.2 - Divide. 25t23656i5i68iCh. 11.2 - Divide. 12j362j+43j94j216Ch. 11.2 - Divide. 12x2+x1345x220x25x19x+5Ch. 11.2 - Divide. 72k2+29k219k292k776k1Ch. 11.2 - Simplify each complex fraction. 1+1x9Ch. 11.2 - Simplify each complex fraction. ab+1xb+3Ch. 11.2 - Simplify each complex fraction. 1a+ba1bCh. 11.2 - A rectangular prism has a base area of 3x2+21x24...Ch. 11.2 - Your friend runs for x2225 seconds at a rate of...Ch. 11.2 - Writing How do you simplify a complex fraction?Ch. 11.2 - For Exercises 1-3, choose the correct letter. What...Ch. 11.2 - For Exercises 1-3, choose the correct letter. What...Ch. 11.2 - For Exercises 1-3, choose the correct letter. What...Ch. 11.2 - A football is kicked with an upward velocity of...Ch. 11.3 - Divide. c2c1cCh. 11.3 - Divide. j44j38j2j2Ch. 11.3 - Divide. 3p327p23p2Ch. 11.3 - Divide. 2m25m+22mCh. 11.3 - Divide. 3b59b4+3b26b2Ch. 11.3 - Divide. 7x428x34x3Ch. 11.3 - Divide. 6t53t4+18t39t23tCh. 11.3 - Divide. 104d8+64d786d6+96d52d4Ch. 11.3 - Divide. 27q4+51q39q23q2Ch. 11.3 - Divide. 1040r12500r11620r10+1600r9+r820r7Ch. 11.3 - Divide. 3u6105u5+147u43u3Ch. 11.3 - Divide. 11y26132y25+121y2411y24Ch. 11.3 - Divide. p2+3p+2p+1Ch. 11.3 - Divide. x2+7x+12x+4Ch. 11.3 - Divide. p25p36p+4Ch. 11.3 - Divide. 2q24q240q12Ch. 11.3 - Divide. 6x2+x13x1Ch. 11.3 - Divide. 20a2+2a42a+1Ch. 11.3 - Divide. 4t264t+4Ch. 11.3 - Divide. z29z3Ch. 11.3 - Divide. 3x2x3+x3x+1Ch. 11.3 - Divide. c416c2Ch. 11.3 - The area of a rectangle is x2x2 and the length of...Ch. 11.3 - Divide. 28n217n34n3Ch. 11.3 - Divide. 2t28t+6t3Ch. 11.3 - Divide. 3c25c26c+2Ch. 11.3 - Divide. 3c25c23c+1Ch. 11.3 - Divide. 2j23j9j3Ch. 11.3 - Divide. 4j26j18j3Ch. 11.3 - Divide. 3x2+x3x+3x1Ch. 11.3 - Divide. 3x2x3+x3x+1Ch. 11.3 - Divide. 9d47293+dCh. 11.3 - Divide. 3x2+6x3+x402+xCh. 11.3 - Find the height of a trapezoid if the area of the...Ch. 11.3 - The area of the rectangle is x49x37x28x+2, The...Ch. 11.3 - Writing If the area of a rectangle is a polynomial...Ch. 11.3 - For Exercises 1-4, choose the correct letter. What...Ch. 11.3 - For Exercises 1-4, choose the correct letter. If...Ch. 11.3 - For Exercises 1-4, choose the correct letter. If a...Ch. 11.3 - For Exercises 1-4, choose the correct letter. What...Ch. 11.3 - What are the factors of the expression x2+12x64?...Ch. 11.4 - Add or subtract. 1a+1aCh. 11.4 - Add or subtract. 112y+272yCh. 11.4 - Add or subtract. mm+4+4m+4Ch. 11.4 - Add or subtract. t1tt+1tCh. 11.4 - Add or subtract. n1n+1n1Ch. 11.4 - Add or subtract. 1mm42m+1m+4Ch. 11.4 - Add or subtract. 2y3y8Ch. 11.4 - Add or subtract. 4x334xCh. 11.4 - Add or subtract. 2a+1a+a+22Ch. 11.4 - Find the LCM of each pair of expression. 6x;3Ch. 11.4 - Find the LCM of each pair of expression....Ch. 11.4 - Find the LCM of each pair of expression. 3a3;3Ch. 11.4 - Find the LCM of each pair of expression. z24;z+2Ch. 11.4 - Find the LCM of each pair of expression. 4d264;4Ch. 11.4 - Find the LCM of each pair of expression....Ch. 11.4 - Does it matter whether you use the LCD first or...Ch. 11.4 - Is there ever a time when it is all right to add...Ch. 11.4 - Simplify. Add or subtract. x32x+5+1xCh. 11.4 - Simplify. Add or subtract. 3x2x2xCh. 11.4 - Add or subtract, add/or simplify. 3a+4xCh. 11.4 - Add or subtract, add/or simplify. 2x1+10Ch. 11.4 - Add or subtract, add/or simplify. x2+3Ch. 11.4 - Add or subtract, add/or simplify. 1+abCh. 11.4 - Add or subtract, add/or simplify. mx+4mx1Ch. 11.4 - Add or subtract, add/or simplify. ab+xyCh. 11.4 - Add or subtract, add/or simplify. 21.54x5.53xCh. 11.4 - Add or subtract, add/or simplify. 1+2x125xCh. 11.4 - Add or subtract, add/or simplify. 1x1+x+1x2Ch. 11.4 - Your friend bought n+8 outfits and her sister...Ch. 11.4 - What is the perimeter of a rectangular garden that...Ch. 11.4 - Your brother ran to school at a rate of 6 mi/h. He...Ch. 11.4 - Adding two rational expressions leads to a...Ch. 11.4 - Writing Explain how to use opposites to find the...Ch. 11.4 - Open-Ended Write a problem that uses addition of...Ch. 11.4 - For Exercises 1-5, choose the correct letter. What...Ch. 11.4 - What is the sum 12b+b2? Fb+12b+2G2bH14Ib2+12bCh. 11.4 - What is the sum 1g+2+3g+1?...Ch. 11.4 - What is the difference r+2r+43r+1?...Ch. 11.4 - What is the sum a1abc3+3babc3?...Ch. 11.4 - Elena went on a Simile walk. She completed the...Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution. 3a3a3=32Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution....Ch. 11.5 - Solve each equation. Check your solution. 64d=2dd2Ch. 11.5 - It takes you about an hour to make one batch of...Ch. 11.5 - Your dad can clean the house in 2 hours and 10...Ch. 11.5 - Solve each equation. Check your solutions. If...Ch. 11.5 - Solve each equation. Check your solutions. If...Ch. 11.5 - Solve each equation. Check your solutions. If...Ch. 11.5 - Solve each equation. Check your solutions. If...Ch. 11.5 - It takes yon 12 hours to paint a house, your...Ch. 11.5 - Maria, LaShawn, and Mike are all students. It...Ch. 11.5 - Error Analysis Edward solved the rational equation...Ch. 11.5 - Writing Write a rational equation that has n=10...Ch. 11.5 - A pool has 2 pipes, one to fill it and one to...Ch. 11.5 - What is the LCD of the equation...Ch. 11.5 - Solve each equations. Check your solutions....Ch. 11.5 - Solve each equations. Check your solutions....Ch. 11.5 - For Exercises 1-4, choose the correct letter. What...Ch. 11.5 - For Exercises 1-4, choose the correct letter. A...Ch. 11.5 - For Exercises 1-4, choose the correct letter. What...Ch. 11.5 - For Exercises 1-4, choose the correct letter. What...Ch. 11.5 - Every morning Diane runs 6 miles in about an hour....Ch. 11.6 - Suppose/varies inversely with x. Write an equation...Ch. 11.6 - Suppose/varies inversely with x. Write an equation...Ch. 11.6 - Suppose/varies inversely with x. Write an equation...Ch. 11.6 - Suppose/varies inversely with x. Write an equation...Ch. 11.6 - Suppose/varies inversely with x. Write an equation...Ch. 11.6 - Suppose/varies inversely with x. Write an equation...Ch. 11.6 - If y varies inversely with x, and y=12whenx=11,...Ch. 11.6 - If y varies inversely with x, solve for y if the...Ch. 11.6 - Graph each inverse variation. y=12xCh. 11.6 - Graph each inverse variation. xy=6Ch. 11.6 - Graph each inverse variation. xy=30Ch. 11.6 - Graph each inverse variation. y=10xCh. 11.6 - Two fifth graders play on the seesaw. One fifth...Ch. 11.6 - In Exercise 13, what if the 75 lb fifth grader and...Ch. 11.6 - Speed equals distancetime If a car is traveling at...Ch. 11.6 - In a given equation, C varies inversely with D. If...Ch. 11.6 - Graph the equations xy=4andxy=4. How are the...Ch. 11.6 - Graph xy=14 How is it like the graph of xy=4? How...Ch. 11.6 - Do the data in each table represent a direct...Ch. 11.6 - Do the data in each table represent a direct...Ch. 11.6 - Do the data in each table represent a direct...Ch. 11.6 - Tell whether each situation represents a direct...Ch. 11.6 - Tell whether each situation represents a direct...Ch. 11.6 - Tell whether each situation represents a direct...Ch. 11.6 - Tell whether each table represents a direct...Ch. 11.6 - Tell whether each table represents a direct...Ch. 11.6 - Tell whether each table represents a direct...Ch. 11.6 - Solve each exercise and enter your answer on the...Ch. 11.6 - Solve each exercise and enter your answer on the...Ch. 11.6 - Solve each exercise and enter your answer on the...Ch. 11.6 - Solve each exercise and enter your answer on the...Ch. 11.6 - Solve each exercise and enter your answer on the...Ch. 11.7 - Identify the excluded value of each rational...Ch. 11.7 - Identify the excluded value of each rational...Ch. 11.7 - Identify the excluded value of each rational...Ch. 11.7 - Identify the excluded value of each rational...Ch. 11.7 - Identify the excluded value of each rational...Ch. 11.7 - Identify the excluded value of each rational...Ch. 11.7 - Identify the asymptotes of the graph of each...Ch. 11.7 - Identify the asymptotes of the graph of each...Ch. 11.7 - Find the domain for x in the equation xy=1.Ch. 11.7 - Graph the equation xy=1. What happens to the...Ch. 11.7 - Identify the horizontal asymptote for the graph of...Ch. 11.7 - Identify the horizontal and vertical asymptotes of...Ch. 11.7 - Describe how the graph of each function is a...Ch. 11.7 - Describe how the graph of each function is a...Ch. 11.7 - Describe how the graph of each function is a...Ch. 11.7 - Describe the graph of each function. y=5xCh. 11.7 - Describe the graph of each function. fx=2xCh. 11.7 - Describe the graph of each function. fx=x3Ch. 11.7 - Describe the graph of each function. y=x+5Ch. 11.7 - Describe the graph of each function. gx=4x+12Ch. 11.7 - Describe the graph of each function. y=x+6Ch. 11.7 - Describe the graph of each function. y=x216Ch. 11.7 - Describe the graph of each function. gx=2x+73Ch. 11.7 - Graphing Calculator Maria invites 14 friends over...Ch. 11.7 - Open-Ended Write an example of a rational function...Ch. 11.7 - Graph and describe the similarities and...Ch. 11.7 - A philanthropist gives $50,000 to students who...Ch. 11.7 - For Exercises 1-4, choose the correct letter, You...Ch. 11.7 - For Exercises 1-4, choose the correct letter, A...Ch. 11.7 - For Exercises 1-4, choose the correct letter, What...Ch. 11.7 - Tracey wants to buy a house. She needs a salary of...

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