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 7.3, Problem 1P

Simplify each expression.

z 5 3

Expert Solution & Answer
Check Mark
To determine

To simplify the following expression (z5)3 .

Answer to Problem 1P

  z15

Explanation of Solution

Given information:

Consider the expression (z5)3

Calculations:

Use multiplication property of exponents which is (xa)b=xab .

  (z5)3=z5×3=z15

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Chapter 7.2, Problem 5STP
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Chapter 7.3, Problem 2P

Chapter 7 Solutions

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

Ch. 7.1 - Simplify each expression. 130Ch. 7.1 - Simplify each expression. 53Ch. 7.1 - Simplify each expression. 334Ch. 7.1 - Simplify each expression. 241Ch. 7.1 - Simplify each expression. (7)2Ch. 7.1 - Simplify each expression. 461Ch. 7.1 - Simplify each expression. 6Ch. 7.1 - Simplify each expression. (12x)2Ch. 7.1 - Simplify each expression. 180Ch. 7.1 - Simplify each expression. 6bc0
Ch. 7.1 - Simplify each expression. (11x)0Ch. 7.1 - Simplify each expression. 292Ch. 7.1 - Simplify each expression. 3m8p0Ch. 7.1 - Simplify each expression. 5a42cCh. 7.1 - Simplify each expression. 3k3(mn)3p8Ch. 7.1 - Simplify each expression. 2m3n3Ch. 7.1 - Simplify each expression. 82q3r5Ch. 7.1 - Simplify each expression. (10a)4b0Ch. 7.1 - Simplify each expression. 11xy1z0v3Ch. 7.1 - Simplify each expression. 5m19(ab)4c7Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2. 3a1Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2. b3Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2....Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2....Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2. a2Ch. 7.1 - Evaluate each expression for a=4,b=3, and c=2....Ch. 7.1 - Write each number as a power of 10 using negative...Ch. 7.1 - Write each number as a power of 10 using negative...Ch. 7.1 - Write each expression as a decimal. 103Ch. 7.1 - Write each expression as a decimal. 8104Ch. 7.1 - The number of people who vote early doubles every...Ch. 7.1 - A pizza shop makes large pizzas with a target...Ch. 7.1 - Open-Ended Choose a fraction to use as a value for...Ch. 7.1 - For Exercises 16, choose the correct letter. What...Ch. 7.1 - For Exercises 16, choose the correct letter. What...Ch. 7.1 - For Exercises 16, choose the correct letter. Which...Ch. 7.1 - For Exercises 16, choose the correct letter. What...Ch. 7.1 - For Exercises 16, choose the correct letter. What...Ch. 7.1 - For Exercises 16, choose the correct letter. What...Ch. 7.1 - The number of bacteria in a culture quadruples...Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Rewrite each expression using each base only once....Ch. 7.2 - Simplify each expression. z8z5Ch. 7.2 - Simplify each expression. 4k36k4Ch. 7.2 - Simplify each expression. 5b33b6Ch. 7.2 - Simplify each expression. 13x83x10Ch. 7.2 - Simplify each expression. 2h54h3Ch. 7.2 - Simplify each expression. 8n11n9Ch. 7.2 - Simplify each expression. mn2m2n4mn1Ch. 7.2 - Simplify each expression. 6a3b24ab8Ch. 7.2 - Simplify each expression. (12mn)m3n2p5(2m)Ch. 7.2 - Write each answer in scientific notation. The...Ch. 7.2 - Write each answer in scientific notation. The area...Ch. 7.2 - Simplify each expression 1614Ch. 7.2 - Simplify each expression. 12513Ch. 7.2 - Simplify each expression. 24315Ch. 7.2 - Simplify each expression 823Ch. 7.2 - Simplify each expression. 6443Ch. 7.2 - Simplify each expression. 2532Ch. 7.2 - Simplify each expression 7q436r357q136r15Ch. 7.2 - Simplify each expression. 3h522k342k323h54Ch. 7.2 - Simplify each expression. 8p165m128p145m56Ch. 7.2 - Complete each equation. 9294=9Ch. 7.2 - Complete each equation. 553=52Ch. 7.2 - Complete each equation. 282=22Ch. 7.2 - Complete each equation. zz5=z3Ch. 7.2 - Complete each equation. m13m16m=m2Ch. 7.2 - Complete each equation. d7d13d9=dCh. 7.2 - Find the area of each figure.Ch. 7.2 - Find the area of each figure.Ch. 7.2 - Find the area of each figure.Ch. 7.2 - Find the area of each figure.Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - Simplify each expression. Write each answer in...Ch. 7.2 - The diameter of the moon is approximately 3.5103...Ch. 7.2 - Simplify each expression. 1n8n3Ch. 7.2 - Simplify each expression. 1x4x9Ch. 7.2 - Simplify each expression. 7k42k6kCh. 7.2 - Simplify each expression. 2x23x12+5Ch. 7.2 - Simplify each expression. 4x4x+14Ch. 7.2 - Simplify each expression. (n+2)5(n+2)3Ch. 7.2 - Writing Explain what moving the decimal point 4...Ch. 7.2 - For Exercises 15, choose the correct letter. What...Ch. 7.2 - For Exercises 15, choose the correct letter. What...Ch. 7.2 - For Exercises 15, choose the correct letter. A...Ch. 7.2 - For Exercises 15, choose the correct letter. What...Ch. 7.2 - For Exercises 15, choose the correct letter. The...Ch. 7.3 - Simplify each expression. z53Ch. 7.3 - Simplify each expression. m410Ch. 7.3 - Simplify each expression. v712Ch. 7.3 - Simplify each expression. k433Ch. 7.3 - Simplify each expression x72Ch. 7.3 - Simplify each expression. r146Ch. 7.3 - Simplify each expression. bb83Ch. 7.3 - Simplify each expression. h2h70Ch. 7.3 - Simplify each expression. m232n17Ch. 7.3 - Simplify each expression. x62y30Ch. 7.3 - Simplify each expression. g55g62Ch. 7.3 - Simplify each expression. u23w413Ch. 7.3 - Simplify each expression. (6a)4Ch. 7.3 - Simplify each expression. (5f)3Ch. 7.3 - Simplify each expression. (9z)12Ch. 7.3 - Simplify each expression. 10m32Ch. 7.3 - Simplify each expression. 6j23Ch. 7.3 - Simplify each expression. 9d102Ch. 7.3 - Simplify each expression. (gh)0Ch. 7.3 - Simplify each expression. qr612Ch. 7.3 - Simplify each expression. 4a32a5Ch. 7.3 - Simplify each expression. m47n37m43Ch. 7.3 - Simplify each expression. xy2xy21Ch. 7.3 - Simplify each expression. 2y5z71y5Ch. 7.3 - Simplify each expression. 7t33s5t142Ch. 7.3 - Simplify each expression. m9m1n12n8Ch. 7.3 - Simplify each expression. 3b4c26c3Ch. 7.3 - Simplify each expression. 5x5y22x142Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - Simplify. Write each answer in scientific...Ch. 7.3 - The radius of a cylinder is 5.4106cm. The height...Ch. 7.3 - The side length of a square is 9.6105 in. What is...Ch. 7.3 - The side length of a cube is 3.78103ft. What is...Ch. 7.3 - Complete each equation. p4=p8Ch. 7.3 - Complete each equation. z6=z24Ch. 7.3 - Complete each equation. t12=1Ch. 7.3 - Complete each equation. w3=w12Ch. 7.3 - Complete each equation. n8=nCh. 7.3 - Complete each equation. 10g2=10g6Ch. 7.3 - Complete each equation. 3a3=27a32Ch. 7.3 - Complete each equation. 6q4r02=36q8Ch. 7.3 - Complete each equation. x4y3=1x8y6Ch. 7.3 - Writing Is ymn=ynm a true statement? Explain your...Ch. 7.3 - Reasoning What is the difference between x4x3 and...Ch. 7.3 - Simplify each expression. 23(2m)2Ch. 7.3 - Simplify each expression. (68.68)8(68.68)8Ch. 7.3 - Simplify each expression. d235d3Ch. 7.3 - Simplify each expression. (7p)3+7p3Ch. 7.3 - Simplify each expression. 4a012b4(b)7Ch. 7.3 - Simplify each expression. 10539.910122Ch. 7.3 - The volume of a circular cone can be determined by...Ch. 7.3 - The volume of a sphere can be determined by the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.3 - Solve each exercise and enter your answer on the...Ch. 7.4 - Simplify each expression. 5652Ch. 7.4 - Simplify each expression. 5552Ch. 7.4 - Simplify each expression. x58x38Ch. 7.4 - Simplify each expression. m3m5Ch. 7.4 - Simplify each expression. x6y9x2y5Ch. 7.4 - Simplify each expression. 21m343m14Ch. 7.4 - Simplify each expression. 354Ch. 7.4 - Simplify each expression. 3x2y3Ch. 7.4 - Simplify each expression. 472Ch. 7.4 - Simplify each expression. 3x42y53Ch. 7.4 - Simplify each expression. 12p3215p4Ch. 7.4 - Simplify each expression. ab3a5b2Ch. 7.4 - Simplify each expression. 3x2y5z25xz53Ch. 7.4 - Simplify each expression. 4m23n52m3(mn)3Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Explain why each expression is not in simplest...Ch. 7.4 - Simplify each quotient. Write each answer in...Ch. 7.4 - Simplify each quotient. Write each answer in...Ch. 7.4 - Writing Explain how you divide expressions with...Ch. 7.4 - A computer can do a computation in 6.8109 seconds....Ch. 7.4 - Error Analysis A student simplifies the expression...Ch. 7.4 - Reasoning The division property of exponents says...Ch. 7.4 - The area of a triangle is 80x5y3. The height of...Ch. 7.4 - Open-Ended First simplify the expression 12m515m3...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. A...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - For Exercises 16, choose the correct letter. Which...Ch. 7.4 - A rectangle has an area of 12x3y4cm2. It has a...Ch. 7.5 - What is the value of each expression? 643Ch. 7.5 - What is the value of each expression? 1253Ch. 7.5 - What is the value of each expression? 325Ch. 7.5 - What is the value of each expression? 100Ch. 7.5 - What is the value of each expression? 14Ch. 7.5 - What is the value of each expression? 225Ch. 7.5 - What is the value of each expression? 7293Ch. 7.5 - What is the value of each expression? 289Ch. 7.5 - What is the value of each expression? 2433Ch. 7.5 - Write each expression in radical form. b32Ch. 7.5 - Write each expression in radical form. (36x)12Ch. 7.5 - Write each expression in radical form. 25y12Ch. 7.5 - Write each expression in radical form. 8123Ch. 7.5 - Write each expression in radical form. (72b)12Ch. 7.5 - Write each expression in radical form. (125a)23Ch. 7.5 - Write each expression in radical form. (40x)13Ch. 7.5 - Write each expression in radical form. 36t14Ch. 7.5 - Write each expression in radical form. (99r)12Ch. 7.5 - Write each expression in exponential form. b43Ch. 7.5 - Write each expression in exponential form. (3x)4Ch. 7.5 - Write each expression in exponential form. 125d43Ch. 7.5 - Write each expression in exponential form. 49aCh. 7.5 - Write each expression in exponential form. (64b)23Ch. 7.5 - Write each expression in exponential form. 256b54Ch. 7.5 - Write each expression in exponential form. 144d4Ch. 7.5 - Write each expression in exponential form. (27x)23Ch. 7.5 - Write each expression in exponential form. 625a5Ch. 7.5 - You can use the formula S=10m23 to approximate the...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Simplify each expression using the properties of...Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - Write each expression in exponential form....Ch. 7.5 - To estimate the age of an organism, archaeologists...Ch. 7.5 - Reasoning Show that a24=a by rewriting a24 in...Ch. 7.5 - For Exercises 14, choose the correct letter. Which...Ch. 7.5 - For Exercises 14, choose the correct letter. Which...Ch. 7.5 - For Exercises 14, choose the correct letter. Which...Ch. 7.5 - For Exercises 14, choose the correct letter. A...Ch. 7.5 - Simplify x14(20x)12 using the properties of...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Determine whether each table or rule represents a...Ch. 7.6 - Evaluate each function for the given value....Ch. 7.6 - Evaluate each function for the given value....Ch. 7.6 - Evaluate each function for the given value....Ch. 7.6 - Graph each exponential function. f(x)=3xCh. 7.6 - Graph each exponential function. y=0.25xCh. 7.6 - Graph each exponential function. y=81.2xCh. 7.6 - What is the solution or solutions of 3x=5x?Ch. 7.6 - An investment of $8000 in a certain Certificate of...Ch. 7.6 - A population of amoebas in a petri dish will...Ch. 7.6 - A new car costs $15,000 to build in 2010. The...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Evaluate each function over the domain...Ch. 7.6 - Which function has the greater value for the given...Ch. 7.6 - Which function has the greater value for the given...Ch. 7.6 - Solve each equation. 3x=81Ch. 7.6 - Solve each equation. 52x=40Ch. 7.6 - Solve each equation. 4x+4=68Ch. 7.6 - Solve each equation. 32x16=80Ch. 7.6 - Reasoning The function that models the growth of a...Ch. 7.6 - Writing Discuss the differences between...Ch. 7.6 - Open-Ended Find the value of each of the functions...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - For Exercises 1-6, choose the correct letter. What...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - For Exercises 1-6, choose the correct letter. When...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - For Exercises 16, choose the correct letter. Which...Ch. 7.6 - You invest $1000 at 7 interest compounded...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Identify the initial amount a and the growth...Ch. 7.7 - Find the balance in each account after the given...Ch. 7.7 - Find the balance in each account after the given...Ch. 7.7 - Find the balance in each account after the giver...Ch. 7.7 - Find the balance in each account after the given...Ch. 7.7 - Identify the initial amount a and the decay factor...Ch. 7.7 - Identify the initial amount a and the decay factor...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - State whether the equation represents exponential...Ch. 7.7 - The town manager reports that revenue for a given...Ch. 7.7 - A wildlife manager determines that there are...Ch. 7.7 - Open-Ended Write an exponential function that...Ch. 7.7 - A business purchases a computer system for $3000....Ch. 7.7 - Writing Explain the difference in how you would...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - State whether each graph shows an exponential...Ch. 7.7 - Reasoning Can the graph of an exponential function...Ch. 7.7 - For Exercises 15, choose the correct letter. Which...Ch. 7.7 - For Exercises 15, choose the correct letter....Ch. 7.7 - For Exercises 15, choose the correct letter. What...Ch. 7.7 - For Exercises 15, choose the correct letter. What...Ch. 7.7 - For Exercises 15, choose the correct letter. Where...Ch. 7.7 - Suppose you deposit $2000 into an account earning...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Determine whether the sequence is a geometric...Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Find the common ratio for each geometric sequence....Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the explicit formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Write the recursive formula for each geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Determine if each sequence is a geometric...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Identify each sequence as arithmetic, geometric,...Ch. 7.8 - Suppose you want to make a reduced copy of a...Ch. 7.8 - A geometric sequence has an initial value of 3 and...Ch. 7.8 - The starting salary at a company is $42,000 per...Ch. 7.8 - For Exercises 15, choose the correct letter. What...Ch. 7.8 - For Exercises 15, choose the correct letter. Which...Ch. 7.8 - For Exercises 15, choose the correct letter. Which...Ch. 7.8 - For Exercises 15, choose the correct letter. What...Ch. 7.8 - For Exercises 15, choose the correct letter. Which...Ch. 7.8 - Write the explicit and recursive formulas for the...

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