warm up find the number to make the equation true 1) ___+ 9 = 14 2) ___+27= 35 3) ___-19 = 124)...
TRANSCRIPT
Warm UpFind the number to make the equation true1) ___+ 9 = 14 2) ___+27= 35
3) ___-19 = 12 4) 11-___= 19
Simplify each expression5) -2(3x-8) 6) 8x – 4 – 8x –
9
Review of Distributive Property & Combing Like Terms
Simplify each expression
xx 7)64(3 )8(312 x
Try It OutSimplify each expression
xx 10)74(5
)16(8)57(7 mm
2.2 Solving Equations2.2 Solving Equations
Standard 5.0: Students solve multistep Students solve multistep problems, including word problems, problems, including word problems, involving linear equations and linear involving linear equations and linear inequalities in one variable and provide inequalities in one variable and provide justification for each step.justification for each step.
Solving One-Step EquationsSolving One-Step Equations*You must get the variable by itself. You can You must get the variable by itself. You can move numbers over by using the opposite move numbers over by using the opposite operation.operation.Examples:x + 5 = 7 x – 4 = - 3 x – (-3) = 10
Try It Out!Try It Out!Solve the following equations.1)1)x + 2 = 7 x + 2 = 7 2) x - 6 = -3 2) x - 6 = -3
3) x + (-3) = 2 3) x + (-3) = 2 4) x - 5 = -6 4) x - 5 = -6
2.3 Solving One Step Linear 2.3 Solving One Step Linear Equations Using Equations Using Multiplication or DivisionMultiplication or Division
Standard 5.0Standard 5.0: Students solve Students solve multistep problems, including multistep problems, including word problems, involving linear word problems, involving linear equations and linear inequalities equations and linear inequalities in one variable and provide in one variable and provide justification for each step.justification for each step.
1) Solve. -5t = 601) Solve. -5t = 60To get the variable by itself, which
number needs to be moved?-5
To move the -5, you have to do the opposite operation. What
operation will we use?division
1) Solve -5t = 60 -5 -5
t = -12
-5(-12) = 60
1. Draw the line to separate the equation into 2 sides
2. Divide both sides by -5
3. Simplify
4. Check your answer
2) Solve 24 = 6n 6 6
4 = n
24 = 6(4)
1. Draw the line
2. Divide both sides by 6
3. Simplify
4. Check your answer
3) Solve -3v = -129
1. v = -1262. v = -433. v = 434. v = 126
Answer Now
4) Solve
You don’t like fractions? Let’s get rid of them!
“You can get rid of fractions” by multiplying both sides of the equation
by the denominator.
x
4 12
4) Solve x
4 12
4 · · 4
x = -48
1. Draw the line
2. Clear the fraction – multiply both sides by 4
3. Simplify
4. Check your answer
x
4 12
248
14
1. Draw the line
2. Get rid of the fraction – multiply both sides by the reciprocal
5) Solve = 18 2x
3
952 x 2044 x
Try It Out
13)5(2 x34410 x
1153 x 2084 x
Examples
353
x
103
7
x
HomeworkP. 81 #1-6, 10-11, 13-22P. 88 #14-19, 28-33, 34-37P.95 #1-5, 11-22