SOLVING EQUATIONS (REVIEW)8th Grade: Pre-Algebra

CHECK HW

VOCABULARY

Equation Solve Solution Inverse Operation Isolate the Variable Addition Property of Equality Subtraction Property of Equality Division Property of Equality Multiplication Property of Equality

PROPERTIES OF ADDITION & MULTIPLICATION

Associative Property of Addition:

(a + b) + c = a + (b + c)

Associative Property of Multiplication:

(a x b) x c = a x (b x c)

Commutative Property of Addition:

a + b = b + a

Commutative Property of Multiplication:

a x b = b x a

MORE PROPERTIES

Distributive Property:

a x (b + c) = (a x b) + (a x c)Identity Property of Addition:

0 + a = aIdentity Property of Multiplication:

1 x a = aInverse Property of Addition:

a + (-a) = 0Inverse Property of Multiplication:

a x 1/a = a/a = 1 when a ≠ 0

SOLVING ONE-STEP EQUATIONS

A. n + 9 = 27

B. 12 + y = 55

C. 67 = 51 + x

D. h – 12 = 18

E. r – 11 = 28

F. c – 7 = 21

G. 5 + x = 23

SOLVING MORE ONE-STEP EQUATIONS

A. 2x = 14

B. w/5 = 11

C. 3h = 45

D. x/4 = 36

E. x/3 = 9

F. 6d = 66

G. r/4 = 7

H. 7d = 12

REMEMBER INTEGER RULES

A. 2z = -6

B.

C. -6k = 54D. -8d = -12E. -p = -34F. -w = 17G. -t = 62H. -y = -16

205

y

REVIEW SOLVING ONE-STEP EQUATIONS

1. 5y = -25 8. z – 15 = -192. x + 4 = 24 9. -13d = 43. d – 11 = 14 4. -t = 2 10.5.

6. -14b = 127.

86

a

310

c

214

x

SOLVING TWO-STEP EQUATIONS

A. 6x – 4 = -34

B. 5y – 3 = 32

C. 8 – t = 1

D. 10p – 6 = -36

E. 11 – 9m = -70

F. 4x – 12 = 24

HOMEWORK PRACTICE

Pre-Algebra Textbook:

Page 16 (21-35)

Page 21 (29-36)