Day 5 combining like terms equations
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This document provides instruction on solving multi-step equations by combining like terms. It begins with examples of combining like terms in algebraic expressions. It then presents the objective of isolating the variable to find its value. Rules for solving equations are provided, including keeping the equation balanced and using inverse operations. Several examples of solving equations by combining like terms are worked through step-by-step. The document concludes by asking how a student who was absent would explain the lesson and provides the assigned homework.
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Day 9 combining like terms
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This document appears to be notes from a math class lesson on solving multi-step equations. It includes examples of multi-step equations, the objective of isolating the variable, and the rules for solving which are to keep the equation balanced, simplify by combining like terms, and use inverse operations. There is also a word problem example involving a person named Tiffany's earnings from different jobs.
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This document contains a math worksheet with multi-step equations for students to solve. It includes examples of equations using addition, subtraction, multiplication, and distribution. Students are instructed to use inverse operations to isolate the variable and arrive at the solution. They are provided rules to keep the equation balanced and simplify by combining like terms. The worksheet checks student understanding and directs them to trade equations with a partner to solve additional practice problems.
Day 13 fractions vobs single senteo
This document contains instructions and examples for solving various types of fractional equations. It begins with solving simple equations of the form x+a=x-b and includes more complex equations involving variables with coefficients on both sides, as well as equations with parentheses and fractions. The final problem asks students to write and solve an equation to find an unknown number based on a word problem.
Algebraic expressions lecturenotes_01
This document provides instruction on solving various types of algebraic equations, including:
1) Single-step equations by using the inverse operation (addition/subtraction, multiplication/division)
2) Multi-step equations by isolating the variable term and using inverse operations
3) Equations with variables on both sides by collecting like terms to one side of the equal sign
Worked examples are provided for each type along with checks of the solutions.
8 - solving systems of linear equations by adding or subtracting
Here are the steps to solve this system of equations using elimination by multiplication:
1. Put the equations in standard form:
3x + y = 4
4x + 4y = 6
2. Determine which variable to eliminate. The y-terms have coefficients that are not the same, so multiply the top equation by 4 to make the y-coefficients the same:
12x + 4y = 16
4x + 4y = 6
3. Subtract the equations to eliminate y:
12x + 4y = 16
- (4x + 4y = 6)
8x = 10
x = 5/4
4. Plug x back into an original equation and
Day 15 two step inequalities
This document provides instructions and examples for solving two-step inequalities. It begins with a do now section asking students to solve and graph basic inequalities like 7 < x + 3. It then provides an anticipatory set with questions to activate prior knowledge on solving inequalities. The main body walks through solving seven sample inequalities step-by-step. It concludes by reminding students that inequalities have solution sets and asking them to explain why in a sentence. For homework, it assigns practice problems from the textbook.
Solving Inequalities Notes
The document describes how to solve an inequality problem step-by-step: (1) isolate the variable on one side of the inequality sign using the opposite operations of addition, subtraction, multiplication, and division; (2) determine whether the coefficient of the variable is 1; and (3) check the solution by graphing the inequality. It provides an example problem of solving 2x - 7 > 11 to illustrate the process.
Sulalgtrig7e Isg 1 1
This document provides examples of solving linear equations by manipulating the equations to isolate the variable. It shows adding or subtracting the same quantity from both sides, distributing terms, combining like terms, and dividing both sides by a coefficient to isolate the variable. The examples are worked through step-by-step and checked by substitution back into the original equation.
January 23
Steps are shown for solving systems of equations by the elimination method, including multiplying one equation by a constant to eliminate a variable before adding the equations. Examples are provided of solving systems by substitution, where one variable is solved for in one equation and substituted into the other equation. Practice problems are given for students to apply
7.1 7.3 reteach (review)
The document provides examples and exercises for solving systems of linear equations by graphing, substitution, and elimination. It explains that when graphing two linear equations, the point of intersection is the solution to the system. For substitution, one equation is solved for one variable in terms of the other and substituted into the other equation. For elimination, like terms are eliminated by adding or subtracting the equations to solve for one variable in terms of the other.
Compound Inequalities Notes
The document discusses compound inequalities, which are statements combining two or more inequalities using AND or OR. AND means the solution must satisfy both inequalities, while OR means it must satisfy at least one. Examples are provided to demonstrate solving and graphing compound inequalities on a number line, including checking solutions in the original inequalities.
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8 - solving systems of linear equations by adding or subtracting
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Day 5 combining like terms equations
- 1. AIM: Solving Multi- Step Equations by Combining Like Terms Do Now 1
- 2. a.) -3x + 3 + x - 1 - 2 x x 1 1 2
- 3. Terms: are numbers, variables, or products of numbers and variables. Terms in an expression are separated by addition and subtraction symbols. (Example: 3x + 5 + x - 7) Coefficients: A number that is multiplied by a variable. (Example: 4x, 4 is the coefficient) Like Terms: terms with the same variable raised to the same power. 3
- 4. b.) 3 - 4x - 5 + 2x x 1 1 x xx 1 1 1 1 x x 1 1 x x 1 1 4
- 5. Simplify the following by combining like terms. c.) -9 + 10x - 15 - 4x - 11x d.) 5x - 4x - 10 - x + 10 5
- 6. ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Use inverse operations Create a rule that we need to add to be able to solve an equation like this. 12x - 7 - 3x = 11 6
- 7. 12x - 7 - 3x = 11 x x 1 1 7
- 8. ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Use inverse operations -2b + 7 - 3b = 2 8
- 9. -2b + 7 - 3b = 2 x x 1 1 9
- 10. ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Use inverse operations 10x + 10 - 2x = 15 10
- 11. ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Use inverse operations -15 = -5y + 1 + 3y 11
- 12. -15 = -5y + 1 + 3y x x 1 1 12
- 13. CHECK -15 = -5y + 1 + 3y 13
- 14. ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 1.) Keep the equation balanced 2.) Use inverse operations 9 - 9x + 6x - 15 = -45 14
- 15. 9 - 9x + 6x - 15 = -45 x x 1 1 15
- 16. CHECK 9 - 9x + 6x - 15 = -45 16
- 17. BEFORE YOU LEAVE AIM: Solving Multi- How would you explain today's Step Equations by lesson to a student who was Combining Like Terms absent today? 17
- 18. Mr. Tjersland's Math 7 Homework: Pages 566-567 #1-3 all, 8, 9, 45 WITH CHECKS 18
- 19. AIM: Solving Multi-Step Equations by Combining Like Terms 12x - 7 - 3x = 11 19
- 20. CHECK 12x - 7 - 3x = 11 20
- 21. -15 = -5y + 1 + 3y 21