3.1-3.2 Solving One Step Equations

subtract 3

subtract 3

Adding or subtracting the same number from each side of an equation produces an equivalent equation.

Addition and Subtraction Property of Equality

Solving Multiplication & Division EquationsMultiplying or dividing each side of an equation

by the same number produces an equivalent equation.

3x = 6

x = 2

divide into 3 groups

In order to solve One-Step Equations use the inverse operation to isolate the variable.

using division2x = 242x = 242 2x = 12

using multiplication x

3 = 4

= 4 x 33 3

x = 12

using additionx - 2 = 6

x - 2 + 2 = 6 + 2 x = 8

x + 5 = 7x + 5 - 5 = 7 - 5

x = 2

using subtraction

Write and solve an equation to model the statement.

Five less than a number n is negative fifteen.

Solve the equation. Check your solution.

8.15 + p = 11.39 x - = 1 5

3 5

Solve the equation. Check your solution.

x -1.5 = -8 -4.8x = 24

Simplify and then solve the equation.

4 + d - 7 = 15 0.7w + 2.8 + 0.3w = 3

Assignment

p.119 (1, 10-18 evens, 26-30 evens, 33) p.124 (2, 12-20 evens, 30, 33, 40, 48-50)

Due Tuesday

+15 +15 y = 24

-52 -52 -28 = n

-48 -48 -37 = c

24 - 15 = 9 9 = 9

24 = 52 + (-28)24 = 24

11 = -37 + 4811 = 11

+2.94 +2.94 4.7 = a

- 1/2 -1/2 x = 0

-2 + x = 12 +2 +2 x = 14

1.76 = 4.7 - 2.94 1.76 = 1.76

0 + 1/2 = 1/2 1/2 = 1/2

2 + 14 - 4 = 12 16 - 4 = 12 12 = 12

d + 18 = -11 -18 -18 d = -29

-29 + 6(3)= -11 -29 + 18 = -11 -11 = -11

35 = n + 8-8 -8 27 = n

24 + 38 + 16 + k = 97 78 + k = 97 -78 -78 k = 19 cm

96 96 .5 = z

5570 = x

1414350 = h

48 = 96(.5)48 = 48

14 = 70/514 = 14

25 = 350/1425 = 25

r = 216

1818 15 15105 = k

216/18 = 12 12 = 12

7 = 105/157 = 7

-1 -1m = 12/3m = 4

66

x = 8

b = 2A h

1000 = 20n 20 20 50 m= n

100 = 1/5t 5 500 m = t

5

250 = 1.25f 1.25 1.25 200 m = f