Multi-Step Equations with Rational Numbers

How are the problems below similar and different?

946

53

x 444.066.0 xANSWER- Both will give you approximately the same answer once youperform your two steps to isolate the variable. But obviously one has fractions, the other decimals.

COMMON CORE #9B

•Solve Multi-Step Equations with Rational Numbers(decimals and fractions)

Multistep Equations with Decimals

• 0.88y – 5 = 8.2• Remember ADD first!• 0.88y – 5 = 8.2• + 5 + 5 • 0.88y = 13.2• Then divide!• 0.88y = 13.2• 0.88 0.88• y = 15

• Check your answer• 0.88(15) – 5 = 8.2 • 13.2 – 5 = 8.2• 8.2 = 8.2

Multistep Equations with Decimals

• Check Your Answer• -1.5(-1.6) + 2.4 = 4.8• 2.4 + 2.4 = 4.8

• -1.5p + 2.4 = 4.8• Subtract• -1.5p + 2.4 = 4.8• - 2.4 - 2.4• -1.5p = 2.4• Again, divide!• -1.5p = 2.4• -1.5 -1.5• p = -1.6

Your Two to Work and Check!

• -2.15k – 4.5 = 17.43

• ANSWER k = -10.2

• 8.8j + 12 = 47.2

• ANSWER j = 4

Multistep Equations with 1 Fraction

12432

t

1632

t

+4 +4

)23(16

32)

23( t

t = 24

10575

d

You Work This!

Answer d = -21

Multistep Equations with 2 Fractions

736

41

x

73)28(6)28(

41)28( x

Multiply thru by the LCM!

121487 x

433

52

d

You Work This!

1607 x- 148 - 148

7x = -1607 7

762286.22 orxx 8

13125.3 ord