Objective - To solve equations using the properties of equality. Addition Property of Equality If a...

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Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b, then a + c = b + c or Given a = b and c = c then a + c = b + c Subtraction Property of Equality If a = b, then a - c = b - c or Given a = b and c = c then a - c = b - c

Transcript of Objective - To solve equations using the properties of equality. Addition Property of Equality If a...

Page 1: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Objective - To solve equations using the properties of equality.

Addition Property of EqualityIf a = b, then a + c = b + c

orGiven a = b

and c = cthen a + c = b + c

Subtraction Property of EqualityIf a = b, then a - c = b - c

orGiven a = b

and c = cthen a - c = b - c

Page 2: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

=x + 3 7- 3 Heavier

Page 3: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

=x 7Heavier

Page 4: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

=x7 Heavier

Page 5: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

=x

7 Heavier

Page 6: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

=x

7 Heavier

Page 7: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

=x + 3 7- 3 - 3

=x 4

Algebraically,

x + 3 = 7-3 -3x = 4

x + 3 = 7

x = 4x + 3 - 3 = 7 - 3

Page 8: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

1) Goal: Isolate the variable on one side of the equation.

2) Always perform the same operation toboth sides of an equation.

3) To undo an operation, perform its opposite operation to both sides of the equation.

Page 9: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Solve the equations below.

1) x + 3 = 10- 3 - 3

x = 7

2) y - 8 = 11+8 +8

y = 19

3) n + 5 = 11- 5 - 5

n = 6

4) 13 = x + 5- 5 - 5

8 = x

5) 12 = n - 3+3 +315 = n

6) 11 + 3 = k

14 = k

Page 10: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Translate the sentence into an equation and solve.

1) The sum of k and 13 is 28.

2) Five is the difference of t and 4.

k + 13 = 28- 13 - 13

k = 15

5 = t - 4+4 +4

9 = t

Page 11: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Multiplication Property of Equality

If a = b, then a c = b c.

orxIf n,m

xthen nm

or x mn.

m m

Page 12: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Solve.

1)

2)

3)

4)

x 43

x3 4 33

x 12

y16

2

y2 16 2

2

y 32

m 105

m5 10 55

m 50

k 74

k4 7 44

k 28

Page 13: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Division Property of Equality

or

If x m n, then

nor x .m

If a b, then a c b c.

x m n m m

Page 14: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Solve.

1)

2)

3)

4)

5x 205x 20

x 45 5

36 3y36 3y

12 y3 3

24 8t24 8t

3 t8 8

4k 184k 18

18k4

4 4

92

1or 42

Page 15: Objective - To solve equations using the properties of equality. Addition Property of Equality If a = b,then a + c = b + c or Given a = b and c = c then.

Solve.

1)

2)

3)

4)

4x 444x 44

x 114 4

26 2y26 2y

13 y2 2

x 33.2

x3.2 5 3.23.2

x 16

d 4.23

d3 4.2 33

d 12.6