Slope intercept\Point Slope\Standard Form

Slope Intercept

100

Find the y-intercept

5x + 2 + 2x = 23

b=-21

200

Find the y-intercept

3x + x - 8 = 4

b=-12

300

Find the slope 

3x + 12 - 6x = -9

m=-3

400

Find the slope

-6 = -3x + 4 + 5x

m=2

500

Find the slope and y-intercept

78 = 3x + 12 - x + 4

m=2, b=-62

Point Slope

100

Find the random point

y-14=2(x+5)

What is (-5,14)

200

Find the random point

y-40=5(x-2)

What is (2,40)

300

Find the slope

y+84=-7(t-4)

m=-7

400

Find the slope

y+24=-2(x-9)

m=-2

500

Find the slope and the random point

y-208=-13(a+2)

m=-13, (-2, 208)

Standard Form

100

Find the x-intercept

8x + 3y=24

(3,0)

200

Find the x-intercept

7x - 8y=56

(8,0)

300

Find the y-intercept

10x+5y=50

(0,10)

400

Find the y-intercept

12x+5y=60

(0,12)

500

Find the x and y intercept.

4x+8y=32

(8,0)

(0,4)

Writing the Equation

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Word Problems

100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

200

Mr. Cushing bought 7 t-shirts for a total of $126. Each t-shirt cost the same amount. How many t-shirts did Mr. Cushing buy?

n - # of t-shirts 7n = 126 n = 18 Each t-shirt cost $18

300

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

Mr. Loucks goes to the grocery store and purchases 17 bags of raisins and a $3 jar of peanut butter. His total cost was $37. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 3 = 37 r = 2 Each bag of raisins cost $2

500

When you count by ones from many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?

n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.