Algebra 2 Worksheets with answer keys
Enjoy these free printable math worksheets . Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Absolute Value Equations
- Simplify Imaginary Numbers
- Adding and Subtracting Complex Numbers
- Multiplying Complex Numbers
- Dividing Complex Numbers
- Dividing Complex Number (advanced)
- End of Unit, Review Sheet
- Exponential Growth (no answer key on this one, sorry)
- Compound Interest Worksheet #1 (no logs)
- Compound Interest Worksheet (logarithms required)
- Simplify Rational Exponents
- Solve Equations with Rational Exponents
- Solve Equations with variables in Exponents
- Factor by Grouping
- 1 to 1 functions
- Evaluating Functions
- Composition of Functions
- Inverse Functions
- Operations with Functions
- Functions Review Worksheet
- Product Rule of Logarithms
- Power Rule of Logarithms
- Quotient Rule of Logarithms
- Logarithmic Equations Worksheet
- Dividing Polynomials Worksheet
- Solve Quadratic Equations by Factoring
- Solve Quadratic Equations by Completing the Square
- Quadratic Formula Worksheets
- Quadratic formula Worksheet (real solutions)
- Quadratic Formula Worksheet (complex solutions)
- Quadratic Formula Worksheet (both real and complex solutions)
- Discriminant Worksheet
- Sum and Product of Roots
- Radical Equations
- Rationalizing the Denominator
- Simplify Rational Expressions Worksheet
- Dividing Rational Expressions
- Multiplying Rational Expressions
- Adding and Subtracting Rational Expressions (with like denominators)
- Adding and Subtracting Ratioal Expressions with Unlike Denominators
- Mixed Review on Rational Expressions
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- Texas Go Math
- Big Ideas Math
- Engageny Math
- McGraw Hill My Math
- enVision Math
- 180 Days of Math
- Math in Focus Answer Key
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Into Math Grade 8 Module 5 Lesson 2 Answer Key Derive y = mx
We included H MH Into Math Grade 8 Answer Key PDF Module 5 Lesson 2 Derive y = mx to make students experts in learning maths.
HMH Into Math Grade 8 Module 5 Lesson 2 Answer Key Derive y = mx
I Can write the equation of a line given a graph or a table of values.
Spark Your Learning Asiah’s literature class is studying a new book. To complete the assigned reading on time, she has made a schedule. Asiah records her progress in a graph. What can you interpret from the graph?
Turn and Talk How would the graph look differently if she read more pages per day?
Build Understanding
Step It Out
Connect to Vocabulary A linear equation is an equation whose solutions form a straight line on a coordinate plane.
E. Use the graph to predict the number of carvings sold after being in business for 10 months. _______________ F. Use the equation to predict the number of months needed for Don to sell 30 carvings online. _______________
Turn and Talk A line is modeled by the equation y = mx. Explain how the value of m affects the graph of the line. Answer: We have the slope-intercept form of a straight line given by y = mx + b, where m is the slope and b is the y-intercept. If b = 0 then y = mx
Check Understanding
Question 1. The Nguyen family is traveling cross-country, driving 300 miles each day. Let x represent the number of days in the trip and let y represent the total number of miles driven. Write an equation to model their trip. Answer: Given, The Nguyen family is traveling cross-country, driving 300 miles each day. Let x represent the number of days in the trip and let y represent the total number of miles driven. y = 300x Thus the equation to model their trip is y = 300x
Question 2. Write the equation for the line passing through points (0, 0), (4, 5), and (8, 10). Answer: From the coordinate, (0, 0), we can conclude that the y-intercept of the line is 0. (4, 5) and (8, 10) Slope = (y2-y1)/(x2-x1) m = (10 – 5)/(8 – 4) m = 5/4 Thus the equation of the line is y = 5/4x
On Your Own
B. A line is drawn to model the relationship between the number of weeks and the change in price. Is the slope of this line positive or negative? Explain. ________________________ Answer:
C. Write the equation of the line. ________________________ Answer:
Question 4. A line passes through the origin, (5, -15), and (-1, 3). A. Explain how to find the slope of the line. Answer: Let the analytical formula of the straight line be y = kx + b (5, -15), and (-1, 3) Slope = (y2-y1)/(x2-x1) m = (3+15)/(-1-5) m = 18/-6 m = -3
For Problems 5-8. write the equation of the line shown.
For Problems 9-10, sketch the graph of the line represented by the equation. Plot and label three points on each line.
For Problems 11-12, write an equation that models the relationship shown in the table.
For Problems 13-14, write an equation for the line described.
Question 13. a line passing through the origin and (-2.5, 5) _______________________ Answer: The line passing through the origin. y = kx x = -2.5 and y = 5 5 = k . -2.5 k = -5/2.5 k = -2 So, slope is -2
Question 14. a line passing through the origin and (3a, 5g) Answer: The line passing through the origin. y = kx x = 3a and y = 5g 5g = k . 3a k = 3a/5g . x So, the equation is y = 5g/3a . x
I’m in a Learning Mindset!
What challenge did I face when writing an equation that modeled the relationship in the table for Problem 12? ______________________________ ______________________________
Lesson 5.2 More Practice/Homework
Question 1. Sean tutors math students to earn extra money.
A. How much would Sean earn from 4 hours of tutoring? ______________________________ ______________________________ Answer: Sean earn $20 per hour 4 hours = 4 × 20 = $80
B. Write an equation to model Sean’s earnings, y, after x hours. ______________________________ Answer: y = 20x where x represents number of hours and y represents earnings.
Question 2. Attend to Precision An inch is exactly 2.54 centimeters. Write an equation to convert the number of inches x to the corresponding length in centimeters. Answer: Given, An inch is exactly 2.54 centimeters. 1 cm = 0.39 inch y = 2.54x
Question 3. Write an equation of the line passing through the points (-5, -25), (0, 0), and (3, 15). Answer: (-5, -25), (0, 0), and (3, 15) -25 = m(-5) + b ⇒ 5m – b = 25 0 = m(0) + b ⇒ b = 0 5m – 0 = 25 5m = 25 m = 5 5m – b = 25 5(5) – b = 25 25 – b = 25 25 – 25 = b b = 0 y = mx + b y = 5x + 0 y = 5x
Question 4. Math on the Spot The graph shows the distance Caleb runs over time. A. Identify four points on the line. _______________________ Answer: Four points on the line are (0, 0), (8, 1), (16, 2) and (24, 3)
B. Determine the slope of the line. _______________________ Answer: 8 min = 1 mile 1 min = 1/8 mile y = kx k = 1/8 So, the slope of the line is 1/8.
C. Write an equation of the line. _______________________ Answer: If y = kx + b k = 1/8 and b = 0 Thus the equation of the line is y = 1/8 x
Question 7. What is the equation of the line passing through the points (-2, 5), (0, 0), and (4, -10)? A. y = –\(\frac{5}{2}\)x B. y = –\(\frac{2}{5}\)x C. y = \(\frac{2}{5}\)x D. y = \(\frac{5}{2}\)x Answer: Given points (-2, 5), (0, 0), and (4, -10) -2m + b = 5 m(0) + b = 0 b = 0 5 = -2m m = -5/2 y = -5/2x Thus option A is the correct answer.
Spiral Review
Question 11. Triangle ABC has vertices (1, 4), (5, 6), and (3, 10). It is reflected across the y-axis, forming Triangle A’B’C’. What are the vertices of the new triangle? Answer: Given, Triangle ABC has vertices (1, 4), (5, 6), and (3, 10). It is reflected across the y-axis, forming Triangle A’B’C’. A'(-1, 4), B'(-5, 6) and C'(-3, 10)
Question 12. Quadrilateral ABCD is dilated by a scale factor of 2, with the center of dilation at the origin. The vertices of ABCD are A(0, 0), 8(5, 0), C(5, 3), and 0(0, 3). What are the coordinates of the image of Vertex C under the dilation? Answer:
Question 13. Solve the equation 3x – 2(x + 1) = 2x – 7. Answer: 3x – 2(x + 1) = 2x – 7 3x – 2x – 2 = 2x – 7 x – 2x = 2 – 7 -x = -5 x = 5
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Eureka Math Grade 5 Module 5 Lesson 10 Homework Answer Key. Question 1. John tiled some rectangles using square units. Sketch the rectangles if necessary. Fill in the missing information, and then confirm the area by multiplying. a. Rectangle A: Rectangle A is. ________ units long _________ units wide.
Find area of rectangles with whole by mixed and whole by fractional number side lengths by tiling, record by drawing, and relate to fraction multiplication, ...
Mrs. Kewriga's Website - Home
Lesson 4 Answer Key 5 •2 Lesson 4 Problem Set 1. a. (15 - 1) 29 and (10 29) - (6 29) 4. Answers will vary. b. (38 + 40) (38 + 5) and 45 (40 + 2) 5. ... 6 Answer Key 5•Lesson 2 Homework 1. a. 972 3. $6,000 b. 18,972 4. $28,466 2. a. 34,397 b. 26,288 c. 34,868 d. 25,392 A STORY OF UNITS. Module 2: ...
Problem Solving REAL WORLD. Problem Solving REAL WORLD. Title. Go Math! Practice Book (TE), G5. Created Date. 10/9/2018 12:17:07 PM.
roblem Solving REAL WORLD. roblem Solving REAL WORLD. Title. Go Math! Practice Book (TE), G5. Created Date. 12/6/2016 8:54:20 PM.
Problem Solving . Title: Go Math! Practice Book (TE), G5 Created Date: 3/29/2016 4:06:42 PM
Eureka Math Grade 5 Module 2 Lesson 10 Homework Answer Key. Question 1. Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form. a. 53 × 1.2 ≈ ___53____ × ___1.2____ = ___63.6____ Answer: 53 x 1.2 = 528 tenths. Explanation:
Multiply decimal fractions with tenths by multi digit whole numbers using place value understanding to record partial products, help teachers, help parents, ...
g5 m2 exit ticket SOLUTIONS by lesson. Owner hidden. ... G5-M6_Answer_Key.pdf. Owner hidden. Mar 24, 2015. 12.7 MB. More info (Alt + →) Grade 5 Module 1 Solutions UPDATED 10-25-17.pdf. Owner hidden. Oct 25, 2017. 17.5 MB. More info (Alt + →) Grade 5 Module 2 SOLUTIONS UPDATED 12-07-17.pdf.
Multiplying Complex Numbers. Dividing Complex Numbers. Dividing Complex Number (advanced) End of Unit, Review Sheet. Exponential Growth (no answer key on this one, sorry) Compound Interest Worksheet #1 (no logs) Compound Interest Worksheet (logarithms required) Exponent Worksheets. Simplify Rational Exponents.
6.3 Day 2 Homework: Pg 389 Problem Set: 10-12 Pg 391 Problem Set: 10-12 6.3 Day 3 Homework: Pg 394: 1-3, 5, 6, 86.4 & 6.5 Homework: Pg 402 Problem Set: 1, 2, 4-6Chapter 6 Review Answers Extra Ch. 6 Lessons Homework: Lesson #1 Worksheet Answers Lesson #2 Worksheet Answers Extra Ch. 6 Lessons Review: Worksheet Answers
Go Math! Practice Book (TE), G5. Name Divide Decimals bg Whole Numbers use the model to complete the number sentence. 1. 1.2 Divide. use base-ten blocks. 2. Lesson 5.2 COMMON CORE STANDARD CC.5.NBT.7 Perform operations with multi-digit whole numbers and with decimals to hundredths. 1. 3.69 - 3 = lìììììììììì 23.
Engage NY Eureka Math 5th Grade Module 1 Lesson 10 Answer Key Eureka Math Grade 5 Module 1 Lesson 10 Problem Set Answer Key. Question 1. Subtract, writing the difference in standard form. You may use a place value chart to solve. a. 5 tenths - 2 tenths = ____ tenths = ___ Answer:- 5 tenths - 2 tenths = 3 tenths = 0.3
10 Lesson 7 Answer Key 2• 5 Lesson 7 Problem Set 1. First and third student work examples circled Explanations will vary. 2. Tape diagram student work example circled Answers will vary. 3. Answers will vary. 4. a. Answers will vary. b. Strategies will vary; 664 c. Answers will vary. Exit Ticket a. Answers will vary. b. Strategies will vary; 953
Use the arrow way or mental math, and record your answers. You may use scrap paper if you like. a. 2 hundreds 4 tens + 3 hundreds = _____ hundreds _____ tens . ... Lesson 6 Homework . 2 5 . 2 . 2. Draw and label a tape diagram to show how to simplify the problem. Write a new . equation, and then subtract.
Title: Go Math! Practice Book (TE), G5 Created Date: 12/9/2016 9:24:35 PM
Eureka Math Grade 5 Module 2 Lesson 23 Homework Answer Key. Question 1. Divide. Then, check using multiplication. a. 9,962 ÷ 41. Answer: 9962/41 = 40. Explanation:
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 4 Answer Key 5•2 Lesson 4 Problem Set 1. a. (15 - 1) 29 and (10 29) - (6 29) 4. Answers will vary. b. (38 + 40) (38 + 5) and 45 (40 + 2) 5. ... NYS COMMON CORE MATHEMATICS CURRICULUM 6 Answer Key •Lesson 2 Homework 1. a. 972 3. $6,000 b. 18,972 4. $28,466 2. a. 34,397 b. 26,288 c. 34,868 d ...
Eureka Math Grade 5 Module 2 Lesson 14 Problem Set Answer Key. Question 1. Solve. The first one is done for you. a. Convert days to weeks. 28 days = 28 × (1 day) = 28 × (17 week) = 287 week.
Explain how the value of m affects the graph of the line. Answer: We have the slope-intercept form of a straight line given by y = mx + b, where m is the slope and b is the y-intercept. If b = 0. then y = mx. Check Understanding. Question 1. The Nguyen family is traveling cross-country, driving 300 miles each day.