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Equations Review

Equations Review. AF 1.1 Write and solve one-step linear equations in one variable. Objective: Be able to write and solve equations. Learning target: Solve at least 3 of the 4 equations correctly on the exit ticket. Finding the value of the variable that makes the equation true.

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Equations Review

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  1. Equations Review

  2. AF 1.1 Write and solve one-step linear equations in one variable. • Objective: Be able to write and solve equations. • Learning target: Solve at least 3 of the 4 equations correctly on the exit ticket.

  3. Finding the value of the variable that makes the equation true. • To solve 103y + 413 = 620, find the number that y has to equal in order for both sides of the equation to equal 620. • What does it mean to solve an equation?

  4. Since the right side of the equation equals 4, the left side of the equation must also equal 4. Since the variable m is the only term on the left side of the equation, m must be 4. • m = 4What number must m equal in order for the equation to be true?

  5. We figured out that it is easy to solve an equation when the variable is by itself on one side of the equals sign. • However, many times the variable is not by itself on one side of the equals sign.

  6. Perform the inverse operation to both sides of the equation. • Addition and subtraction are inverse operations. • Multiplication and division are inverse operations. • There are many other pairs of inverse operations, but we will not cover them now. • How do we isolate a variable if there is an operation being done to it?

  7. Solve for the value of m: • There is a number under that box. However, we do not need to know it yet. • How is the variable being changed? • 17 is being added to it. • What is the inverse operation of that? • Subtracting 17.

  8. Solve for the value of m: • The left side simplifies to just the variable, m. • Finally we need to look at the other side of the equation.

  9. Solve for the value of m: • Simplify to get the answer.

  10. x = number of apples I have now • x + 4 = 20 • - 4 -4 • x = 16 • If I gained 4 apples, I would have 20. How many apples do I have?

  11. Write your own word problem that could be solved using the equation y – 6 = 13 • Share your problem with your neighbor.

  12. Direct Station • We will focus on looking for key vocabulary terms in word problems that help us write equations.

  13. Collaborative Station • Remember, you can check if your solution is correct by substituting it in for the variable. • Example: Jim thinks the solution to x + 5 = 9 is x = 4. Is Jim correct? • Substituting 4 for x, we get 4 + 5 = 9 9 = 9Since both sides of the equation are equal, the solution is correct. • One person will attempt to solve the equation and the partner will check the answer. Switch roles after each problem.

  14. Independent Station • We will continue working on ST Math’s equations unit.

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