One solution, Infinite solutions, or No solution

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Identify the number of solutions of an equation

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One solution, Infinite solutions, or No solution nothing One solution, Infinite solutions, or No solution 8.EE.7 Day 1

to solve equations one solution, infinite solutions, or no solution. Essential Question: How do I determine if linear equations have one solution, infinite solutions, or no solution? My Goal For Today :_____________________ to solve equations one solution, infinite solutions, or no solution.

Two step equations

Solution No Solution Infinity Identity PEMDAS Solve Equations with Variables on both sides

When the value of x is a, the equation is a true statement . 1 When you simplify an equation using the properties of equality, you will find one of three results . Result What does it mean? How many solutions? x = a When the value of x is a, the equation is a true statement . 1 a = a Any value of x makes the equation a true statement. Infinitely many a = b There is no value of x that makes the equation a true equation a true statement.

Solve each equation. If the equation is an identity, write identity Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. Guided Practice

Solve each equation. If the equation is an identity, write identity Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. Examples on your own:

5x - 9 = 5 + 5x ∞(infinite solutions) 4 -4 No solution nothing -2 HideAns ∞(infinite solutions) 4 -4 No solution [Default] [MC Any] [MC All]

4(x - 9) = –36 + 4x ∞(infinite solutions) No solution 5 -5 nothing -2 HideAns ∞(infinite solutions) No solution 5 -5 [Default] [MC Any] [MC All]

7x - 9 = –4 - 7x ∞(infinite solutions) -13/14 No solution 13/14 nothing -2 7x - 9 = –4 - 7x HideAns ∞(infinite solutions) -13/14 No solution 13/14 [Default] [MC Any] [MC All]

Think-Pair-Share Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution.

One telephone company charges $16. 95 per month and $ One telephone company charges $16.95 per month and $.05 per minute for local calls. Another company charges $22.95 per month and $.02 per minute for local calls. For what number of minutes of local calls per month is the cost of the plans the same?

One health club charges a $44 sign-up fee and $30 per month One health club charges a $44 sign-up fee and $30 per month. Another health club charges a $99 sign-up fee and $25 per month. For what number of months is the cost the same?

Solve each equation. If the equation is an identity, write identity Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. Exit Slip