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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Textbook Question
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Chapter 11.5, Problem 1P

Solve each equation. Check your solution.

1 2 j + 2 = 4 2 j

Expert Solution & Answer
Check Mark
To determine

To solve the equation and check the solutions.

Answer to Problem 1P

The solution is j=12 .

Explanation of Solution

Given information:

The given equation is:

  12j+2=42j

Calculation:

The solution can be obtained by:

  12j+2=42j1+2(2j)2j=42j1+42j2j=42j52j2j=42j52j=4(2j)2j52j=42j=54j=12

Hence, the solution is j=12 .

The solution can be checked by:

  12j+2=42j1212+2=42122×13+2=2×4323+2=8383=83

The solution is correct.

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 - 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. 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