NAME DATE 1-3 PERIOD Practice Solving Equations Write an algebraic expression to represent each verbal expression. 1. 2 more than the quotient of a number and 5 2. the sum of two consecutive integers y −+2 5 n + (n + 1) 3. 5 times the sum of a number and 1 4. 1 less than twice the square of a number 2y 2 - 1 5(m + 1) 5–8. Sample answers are given. 6. 3y = 4y3 Three times a number is 4 times the cube of the number. Write a verbal sentence to represent each equation. 5. 5 - 2x = 4 The difference of 5 and twice a number is 4. m 8. − = 3(2m + 1) The quotient 7. 3c = 2(c - 1) 5 Three times a number is twice the difference of the number and 1. of a number and 5 is 3 times the sum of twice the number and 1. Name the property illustrated by each statement. 9. If t - 13 = 52, then 52 = t - 13. 10. If 8(2q + 1) = 4, then 2(2q + 1) = 1. Symmetric (=) Division (=) 11. If h + 12 = 22, then h = 10. 12. If 4m = -15, then -12m = 45. Subtraction (=) Multiplication (=) 13. 14 = 8 - 6r -1 14. 9 + 4n = -59 -17 1 3 5 − 1 15. − -− n=− 1 5 3 11 − 16. − c+− =− 17. -1.6r + 5 = -7.8 8 18. 6x - 5 = 7 - 9x − 4 2 8 4 6 3 7 19. 5(6 - 4v) = v + 21 − 4 12 5 4 5 1 6 20. 6y - 5 = -3(2y + 1) − Solve each equation or formula for the specified variable. 21. E = mc2, for m E m=− 2 23. h = vt - gt2, for v 2d + 1 3 22. c = −, for d c h + gt t 2 1 2 24. E = − Iw + U, for I v=− 2 -1 − d = 3c 2 2 (E - U) w I=− 2 25. GEOMETRY The length of a rectangle is twice the width. Find the width if the perimeter is 60 centimeters. Define a variable, write an equation, and solve the problem. w = width; 2(2w) + 2w = 60; 10 cm 26. GOLF Luis and three friends went golfing. Two of the friends rented clubs for $6 each. The total cost of the rented clubs and the green fees for each person was $76. What was the cost of the green fees for each person? Define a variable, write an equation, and solve the problem. g = green fees per person; 6(2) + 4g = 76; $16 Chapter 1 20 Glencoe Algebra 2 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Solve each equation. Check your solution.
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Use the table below to find videos, mobile apps, worksheets and lessons that supplement Glencoe Algebra 2.
| Chapter 1: Solving Equations and Inequalities | |||
Lesson 1: Expressions and Formulas | apps | videocam | create |
Lesson 2: Properties of Real Numbers | apps | videocam | create |
Lesson 3: Solving Equations | apps | videocam | create |
Lesson 4: Solving Absolute Value Equations | apps | videocam | create |
Lesson 5: Solving Inequalities | apps | videocam | create |
Lesson 6: Solving Compound and Absolute Value Inequalities | apps | videocam | create |
| Chapter 2: Linear Relations and Functions | |||
Lesson 1: Relations and Functions | apps | videocam | create |
Lesson 2: Linear Equations | apps | videocam | create |
Lesson 3: Slope | apps | videocam | create |
Lesson 4: Writing Linear Equations | apps | videocam | create |
Lesson 5: Modeling Real-World Data: Using Scatter Plots | apps | videocam | create |
Lesson 6: Special Functions | apps | videocam | create |
Lesson 7: Graphing Inequalities | apps | videocam | create |
| Chapter 3: Systems of Equations and Inequalities | |||
Lesson 1: Solving Systems of Equations by Graphing | apps | videocam | create |
Lesson 2: Solving Systems of Equations Algebraically | apps | videocam | create |
Lesson 3: Solving Systems of Inequalities by Graphing | apps | videocam | create |
Lesson 4: Linear Programming | apps | videocam | create |
Lesson 5: Solving Systems of Equations in Three Variables | apps | videocam | create |
| Chapter 4: Matrices | |||
Lesson 1: Introduction to Matrices | apps | videocam | create |
Lesson 2: Operations with Matrices | apps | videocam | create |
Lesson 3: Multiplying Matrices | apps | videocam | create |
Lesson 4: Transformations with Matrices | apps | videocam | create |
Lesson 5: Determinants | apps | videocam | create |
Lesson 6: Cramer's Rule | apps | videocam | create |
Lesson 7: Identity and Inverse Matrices | apps | videocam | create |
Lesson 8: Using Matrices to Solve Systems of Equations | apps | videocam | create |
| Chapter 5: Polynomials | |||
Lesson 1: Monomials | apps | videocam | create |
Lesson 2: Polynomials | apps | videocam | create |
Lesson 3: Dividing Polynomials | apps | videocam | create |
Lesson 4: Factoring Polynomials | apps | videocam | create |
Lesson 5: Roots of Real Numbers | apps | videocam | create |
Lesson 6: Radical Expressions | apps | videocam | create |
Lesson 7: Rational Exponents | apps | videocam | create |
Lesson 8: Radical Equations and Inequalities | apps | videocam | create |
Lesson 9: Complex Numbers | apps | videocam | create |
| Chapter 6: Quadratic Functions and Inequalities | |||
Lesson 1: Graphing Quadratic Functions | apps | videocam | create |
Lesson 2: Solving Quadratic Equations by Graphing | apps | videocam | create |
Lesson 3: Solving Quadratic Equations by Factoring | apps | videocam | create |
Lesson 4: Completing the Square | apps | videocam | create |
Lesson 5: The Quadratic Formula and the Discriminant | apps | videocam | create |
Lesson 6: Analyzing Graphs of Quadratic Functions | apps | videocam | create |
Lesson 7: Graphing and Solving Quadratic Inequalities | apps | videocam | create |
| Chapter 7: Polynomial Functions | |||
Lesson 1: Polynomial Functions | apps | videocam | create |
Lesson 2: Graphing Polynomial Functions | apps | videocam | create |
Lesson 3: Solving Equations Using Quadratic Techniques | apps | videocam | create |
Lesson 4: The Remainder and Factor Theorems | apps | videocam | create |
Lesson 5: Roots and Zeros | apps | videocam | create |
Lesson 6: Rational Zero Theorem | apps | videocam | create |
Lesson 7: Operations on Functions | apps | videocam | create |
Lesson 8: Inverse Functions and Relations | apps | videocam | create |
Lesson 9: Square Root Functions and Inequalities | apps | videocam | create |
| Chapter 8: Conic Sections | |||
Lesson 1: Midpoint and Distance Formulas | apps | videocam | create |
Lesson 2: Parabolas | apps | videocam | create |
Lesson 3: Circles | apps | videocam | create |
Lesson 4: Ellipses | apps | videocam | create |
Lesson 5: Hyperbolas | apps | videocam | create |
Lesson 6: Conic Sections | apps | videocam | create |
Lesson 7: Solving Quadratic Systems | apps | videocam | create |
| Chapter 9: Rational Expressions and Equations | |||
Lesson 1: Multiplying and Dividing Rational Expressions | apps | videocam | create |
Lesson 2: Adding and Subtracting Rational Expressions | apps | videocam | create |
Lesson 3: Graphing Rational Functions | apps | videocam | create |
Lesson 4: Direct, Joint, and Inverse Variation | apps | videocam | create |
Lesson 5: Classes of Functions | apps | videocam | create |
Lesson 6: Solving Rational Equations and Inequalities | apps | videocam | create |
| Chapter 10: Exponential and Logarithmic Relations | |||
Lesson 1: Exponential Functions | apps | videocam | create |
Lesson 2: Logarithms and Logarithmic Functions | apps | videocam | create |
Lesson 3: Properties of Logarithms | apps | videocam | create |
Lesson 4: Common Logarithms | apps | videocam | create |
Lesson 5: Base e and Natural Logarithms | apps | videocam | create |
Lesson 6: Exponential Growth and Decay | apps | videocam | create |
| Chapter 11: Sequences and Series | |||
Lesson 1: Arithmetic Sequences | apps | videocam | create |
Lesson 2: Arithmetic Series | apps | videocam | create |
Lesson 3: Geometric Sequences | apps | videocam | create |
Lesson 4: Geometric Series | apps | videocam | create |
Lesson 5: Infinite Geometric Series | apps | videocam | create |
Lesson 6: Recursion and Special Sequences | apps | videocam | create |
Lesson 7: The Binomial Theorem | apps | videocam | create |
Lesson 8: Proof and Mathematical Induction | apps | videocam | create |
| Chapter 12: Probability and Statistics | |||
Lesson 1: The Counting Principle | apps | videocam | create |
Lesson 2: Permutations and Combinations | apps | videocam | create |
Lesson 3: Probability | apps | videocam | create |
Lesson 4: Multiplying Probabilities | apps | videocam | create |
Lesson 5: Adding Probabilities | apps | videocam | create |
Lesson 6: Stastical Measures | apps | videocam | create |
Lesson 7: The Normal Distribution | apps | videocam | create |
Lesson 8: Binomial Experiments | apps | videocam | create |
Lesson 9: Sampling and Error | apps | videocam | create |
| Chapter 13: Trigonometric Functions | |||
Lesson 1: Right Triangle Trigonometry | apps | videocam | create |
Lesson 2: Angles and Angle Measure | apps | videocam | create |
Lesson 3: Trigonometric Functions of General Angles | apps | videocam | create |
Lesson 4: Law of Sines | apps | videocam | create |
Lesson 5: Law of Cosines | apps | videocam | create |
Lesson 6: Circular Functions | apps | videocam | create |
Lesson 7: Inverse Trigonometric Functions | apps | videocam | create |
| Chapter 14: Trigonometric Graphs and Identities | |||
Lesson 1: Graphing Trigonometric Functions | apps | videocam | create |
Lesson 2: Translations of Trigonometric Graphs | apps | videocam | create |
Lesson 3: Trigonometric Identities | apps | videocam | create |
Lesson 4: Verifying Trigonometric Identities | apps | videocam | create |
Lesson 5: Sum and Difference of Angles Formulas | apps | videocam | create |
Lesson 6: Double-Angle and Half-Angle Formulas | apps | videocam | create |
Lesson 7: Solving Trigonometric Equations | apps | videocam | create |