Equations C3 3.6

Equations with variables on one side

100

8b + 3b = 22

b = 2

200

4x - 5 = 2x + 9

x = 7

300

4(6 + 5x) = 124

x = 5

400

-93 = 7(-3k - 8) + 5

DOUBLE POINTS

k = 2

500

254 = -2v - 6(2 +6v)

v = -7

Equations with variables on both sides

100

7n-11=5n+5

n=8

200

16-2t=t+9+4t

DOUBLE POINTS

t=1

300

36n - 12 = 8n - 40

n = -1

400

5x - 8 = 13 + 7x - 21

x = 0

500

-4k + 10k - 12 = -3k -39

k = -3

Equations with distributive property

100

7 (x + 1) = 3x +7

x=0

200

-4(-8p + 1) = -4 - 8p

p = 0

300

2-(4-x)=7x-5x

x= -2

400

23 - 7(x + 3) + 5x = 10.

x = -4

500

3(2x-3)+4(x-4)=23+4x

DOUBLE POINTS

x=8

Slope

100

Define a y-intercept and the varibale that represent it?

y-intercept is where the line crosses the y-axis 

b represents the y-intercept

200

what is the slope intercept form equation?

y = mx+ b

300

what is the equation to solve for slope? 

DOUBLE POINTS

m= y₂- y₁

      x₂-x₁

400

create an equation:

slope= -3 

y-intercept= 4

y= (-3)x + 4

500

find the slope given the ordered pairs:

(-4, 8)  and (6, 10)

1/5

Random

100

For the y-intercept x will always be what number?

zero (0, y)

200

What is a coefficient? 

a number representing a constant value that is multiplied by a variable  

300

Fill in the blanks for slope?

_____ over _______

change in _____ over the change in _______

the __________ of the line on a graph

rise over run 

change in y over the change in x

the steepness of the line on a graph

400

What makes a like term?

DOUBLE POINTS

Same variable and same exponent 

500

What are the steps to solve a multi-step equation in order?

Distribute 

Combine like terms 

Move variables to one side

Add or Subtract constants 

Multiply or Divide coefficients

Check