Solving 2 step equations review & practice
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This document provides instructions for solving two-step equations. It explains that two-step equations are solved in two steps: the first step uses addition or subtraction, and the second step uses multiplication or division. Examples are provided of solving equations by subtracting in the first step and dividing in the second step. Readers are prompted to practice solving sample two-step equations on their own.
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For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
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Let me know when you're done and I'll check your work. Good luck!
Chapter 7 Notes
The document provides instructions for estimating products and dividing fractions and mixed numbers. It explains the steps to multiply fractions by multiplying across, to multiply mixed numbers by first converting to improper fractions and then multiplying, to divide fractions by changing the second number to its reciprocal and then multiplying, and to divide mixed numbers by first changing to improper fractions, changing the second number to its reciprocal, and then multiplying. It also gives an example of finding patterns in number sequences by looking for a consistent pattern that holds for more than the first two numbers.
MATH 5 PRESENTATION classroom observation
This document contains a mathematics lesson on order of operations and applying the PEMDAS/GEMDAS rules to simplify expressions and equations. It includes:
- Examples of applying order of operations to evaluate expressions and equations step-by-step.
- Explanations of performing operations within grouping symbols, exponents, multiplication, division, addition and subtraction in the proper sequence.
- Practice problems for students to simplify expressions and equations involving grouping symbols and exponents.
- An activity for students to write and solve a mathematical equation based on a word problem.
037 lesson 25
The document discusses the order of operations in mathematics, noting that operations inside parentheses should be performed first, then multiplication and division from left to right, followed by addition and subtraction from left to right. Several examples demonstrate evaluating expressions using these rules to avoid ambiguity and ensure only one correct solution. Precise use of order of operations is important for correctly solving arithmetic expressions with multiple operations.
September 22, 2014
This document provides an agenda for a math class that includes reviewing equations, completing class work and assignments, and learning new topics in Khan Academy. It outlines the week's lessons on two-step equations, equations with variables on both sides, and writing and interpreting decimals. Upcoming topics are absolute value equations and opposites/inverses. Students are given practice problems to work through involving different types of equations and shown steps for solving equations, including those with fractions and decimals.
Solving Proportions
This document outlines the three main steps to solve proportions: 1) Try using mental math or identifying a scale factor first. 2) If that doesn't work, simplify the fractions and try mental math again. 3) As a last resort, cross-multiply the terms and divide. It provides examples of using each method to solve proportions. The document concludes by explaining how to use a unit rate to solve a word problem about the cost of oranges by first finding the cost of one orange and then multiplying. Homework is assigned on proportional relationships from the textbook.
Yahooanswr how
It's difficult to say definitively whether someone means it when they say "I love you," as only they truly know their own feelings. However, a few things suggest he may genuinely have feelings for you:
- He said it twice, once when you were both sober in the morning. This shows it wasn't just something said in the heat of the moment.
- You've been dating for several months, getting to know each other well. Love sometimes develops gradually over time spent together.
- He asked if you remembered what was said the night before, indicating he wanted to reaffirm it when you were both clear-headed.
- People don't usually say "I love you" casually after only a short
Digital Portfolio
The document discusses a student's experience in an Algebra class over multiple pages, including answering questions about their strengths, weaknesses, and expectations for the course. It also provides examples and explanations of algebraic concepts taught in class. The student reflects on lessons learned from activities and assessments in the class.
Simple Equations I
This document discusses solving one-step linear equations using addition and subtraction. It defines key terms like equations, solutions, and isolating variables. It explains that when transforming equations, the same operations must be applied to both sides to maintain equivalence. Inverse operations like addition and subtraction can isolate variables. Examples show how to isolate variables using addition or subtraction and solve equations. Students are then prompted to solve practice equations on their own. The document also discusses using equations to solve real-world problems, like finding a person's maximum heart rate based on their age.
Digital Portfolio
The student discusses their experience in their Algebra class over the first half of the term. They note some challenges with jotting down notes while listening, and with passing early quizzes due to lack of preparation and slow work speed. However, the student learned that they should work faster but carefully, and that low scores don't mean giving up as there are always more opportunities to improve. They also learned the importance of knowing one's beliefs and standing by decisions, big or small.
Chapter 3. linear equation and linear equalities in one variables
Here are the steps to solve this inequality problem:
1) Write an expression for the perimeter in terms of x
2) Set the perimeter expression ≤ 40
3) Isolate x by undoing the operations
4) Write the solution set
The solution is 0 ≤ x ≤ 7
Inequalities mathematics grade nine igcse.ppt
- Students learn to represent inequalities on a number line using different signs such as <, ≤, >, ≥.
- They learn to solve inequalities algebraically using the same steps as solving equations, such as adding/subtracting the same number to both sides.
- A key rule is that if multiplying or dividing by a negative number, the inequality sign must be switched (e.g. from < to >).
- Examples of solving multi-step inequalities and real-world word problems are provided to illustrate the concepts and skills.
15minute-math-integers.ppt
This presentation reviews math skills that can help with everyday problems. It is divided into lessons that each take approximately 15 minutes, so the entire presentation can be completed in under 3 weeks. The lessons cover topics like decimals, fractions, percentages, integers, algebra, and order of operations. Looking for hints from the Professor can make working through the math problems faster and easier.
15minute-math-integers.ppt
This presentation reviews math skills that can help with everyday problems. It is divided into lessons that each take approximately 15 minutes, so the entire presentation can be completed in under 3 weeks. The lessons cover topics like decimals, fractions, percentages, integers, algebra, and order of operations. Looking for hints from the Professor can make working through the math problems faster and easier.
6) Equations involving x².pptx
The document discusses solving equations that involve x^2 terms. It explains that to solve these equations:
1) The x^2 term must be isolated by adding or subtracting terms from both sides of the equation.
2) Then the whole equation can be square rooted to remove the x^2, resulting in two separate equations to solve for x since the square of a negative number is positive.
3) This means there may be two possible solutions for x, as both the positive and negative square roots must be considered. Working through several examples illustrates this process.
05 Performing Fundamental Operations on Integers.pptx
This document provides an overview of operations on integers. It begins by stating the objectives of being able to add, subtract, multiply and divide integers accurately. It then explains the rules and patterns for adding, subtracting, multiplying and dividing integers through examples. Students are provided practice problems and solutions for adding, subtracting, multiplying and dividing integers. The document emphasizes getting the correct answer when doing math operations and provides links for further learning.
Factoring
This document provides an overview of factoring quadratic equations by breaking them down into smaller parts. It explains that factoring is an easy way to solve quadratics compared to other methods like completing the square or using the quadratic formula. The document then walks through an example of factoring the equation x^2 + 2x + 1 = 0, showing the steps of identifying numbers that multiply to the constant and add to the coefficient, writing the factored form, and setting each factor equal to 0 to solve for x. It notes that factoring may not work for more complex equations with larger coefficients. The summary concludes by joking that factoring is the most rational method for solving quadratics.
Factoring
This document provides an overview of factoring quadratic equations by breaking them down into smaller parts. It explains that factoring is an easy way to solve quadratics compared to other methods like completing the square or using the quadratic formula. The document then walks through an example of factoring the equation x^2 + 2x + 1 = 0 step-by-step. It concludes by noting that factoring may not work for more complex equations with larger coefficients.
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- 1. Solving 2-Step Variable Equations Solving Two-Step Equations Intro Math Unit 6~Lesson 1
- 2. What??? I just learned 1-step! Relax. You’ll use what you already know to solve 2-step equations.
- 3. So, what’s first? You need to break the equation into two steps.
- 4. STEP 1 The first step will be either adding or subtracting.
- 5. STEP 2 The second step will be either multiplying or dividing.
- 6. Let’s try a problem. 8x + 5 = 61 This problem has addition, so we need to subtract first. - 5 - 5 Whatever we do on one side, we have to do on the 8x = 56 other.
- 7. Now, Step 2. 8x = 56 This problem has multiplication, so we need to divide now. Whatever we do on one side, we have to do on the other. 8 8 x = 7
- 8. Let’s try another problem. 3a - 8 = 4 This problem has subtraction, so we need to add first. + 8 + 8 Whatever we do on one side, we have to do on the 3a = 12 other.
- 9. Now, Step 2. 3a = 12 This problem has multiplication, so we need to divide now. Whatever we do on one side, we have to do on the other. 3 3 a = 4
- 10. Now it’s your turn! Copy these problems onto your paper. Break each problem into 2 parts to solve. Show all of your work! 7f + 5 = 40 5q – 7 = 13 12t – 6 = 90 4y + 8 = -12
- 11. More Practice Problems The goal is to get the variable by itself. Leave the variable where it is, and move everything away from it. Follow your steps for solving an equation. 1) Undo addition/subtraction with subtraction/addition 2) Undo multiplication/division with division/multiplication Write your steps neatly. Check to make sure your answer makes sense. Plug your answer back in for the variable in the original problem. Simplify, and make sure you get a true statement.
- 12. Problem 1 -12 = -3x + 6
- 13. Answer 6 = x
- 14. Problem 2 -4x + 20 = 68
- 15. Answer X = -12
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