4-2 equations with variables on both sides miss battaglia – algebra 1 cp objective: solve...

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4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BA TTAGLIA – AL G EBRA 1 CP OBJ ECTI VE: SOLV E EQUATION S W ITH VAR IABLES ON BOTH SIDES; IDE NTIFY EQU ATIO NS THAT HAVE NO SOLUT ION OR AR E IDENTITI ES.

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Page 1: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

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Page 2: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

WARM UP

Find the values of a and b if and = 64

Page 3: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

SOLVE

5t – 8 = 9t - 10

GOAL:Get variables on the same side of the equation.

Page 4: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

VERIFY THE SOLUTION

5t – 8 = 9t – 10 where t =

Page 5: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

TRANSPORTATIONMary and Jess are sisters. They left school at 3:00pm

and biked home along the same path. Mary biked at a speed of 12 mi/h. Jess biked at 9 mi/h. Mary got home 15 min before Jess. How long did it take Mary to get home?

Page 6: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

SPECIAL TYPES OF EQUATIONS

An equation has no solution if no value makes the equation true.

Solve

Page 7: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

SPECIAL TYPES OF EQUATIONS

An equation that is true for every value of the variable is an identity.

Solve

Page 8: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

MENTAL MATH

Without writing the steps of a solution, tell whether the equation has one

solution, no solution, or is an identity.

a) 9 + 5a = 5a – 1 b) 5a + 9 = 2a

c) 9 + 5a = 2a + 9 d) 9 + 5a = 5a + 9

Page 9: 4-2 EQUATIONS WITH VARIABLES ON BOTH SIDES MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: SOLVE EQUATIONS WITH VARIABLES ON BOTH SIDES; IDENTIFY EQUATIONS THAT

HOMEWORK

Pg 166-168 #8-13, 17, 20, 21, 25–27, 34, 33, 43