Multi-Step Equations ( SJNA)

Combing like terms

100

-5r +2r -10b + 12b -12 + 34

2b -3r +22

200

2m(4 -8) + 11-4j

-14m-4j+11

300

9x² -4x-12x-15x²

-6x²-16x

400

5x-1/4(8X²-20x)

-2x²+10x

500

What is the definition of a coefficient?

The number part of a term with a variable.

Two-Step Equations

100

9a - 2 = -65

a = - 7

200

 

k/3 - 11 = -5

 

K = 18

300

w/-4 + 17 = 9

W = 32

400

(X- 1)/ 6 = 2

X = 13

500

341 = P^2 + 52

17, - 17

Multi-Step Equations

100

2x - 8x + 1 = 49

X= -8

200

-10p + 9p = 12

Solve for p

-10p + 9p = 12

-1p = 12

p = -12

300

-3a + 11 -7a = -9

What is the value of a?

-3a + 11 -7a = -9

-10a + 11 = -9

-10a = -20 

a = 2

400

2k - 6 - 7 + 3k = -48

a = -7

500

9t - 6 - 6t = 6

What is the value of t?

9t - 6 - 6t = 6

3t - 6 = 6

3t = 12

t = 4

Distribution Multi-Step Equations

100

-2(k + 9) = 16

k = -17

200

7(f - 1) = 49

What is f?

7(f - 1) = 49

7f -7 = 49

7f = 56

f = 8

300

5(d - 2) = 40

What is d?

5(d - 2) = 40

5d -10 = 40

5d = 50

d = 10

400

2(4x + 5) + 3 = 13

What is x?

x = 0

500

9(y - 4) - 7y = 5(3y - 2)

What is y?

9(y - 4) - 7y = 5(3y - 2)

9y - 36 -7y = 15y - 10

2y -36 = 15y -10

2y - 26 =15y

-26 = 13y

y = -2

Properties of Operations

100

Identify the property

a * 1= a or 4*1=4

Multiplicative Identity property

200

a(b + c) =ab +ac

Distributive property

300

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

Associative Property of Multiplication

400

a x b = b x a    or   a +b = b +a

Commutative property of Multiplication and Addition

500

Factor -5x-75

-5(x+15)