Solving Multi-Step Equations-Slopes Review

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5(a + 4)

5a + 23

400

Simplify. - (2b - 4)

-2b + 4

500

Simplify. 7(t + 8.5) - 5t + 4

2t + 63.5

Equation Grab Bag

100

Write the equation of the line with

slope = -4 and (0,-8) as y-intercept

y= -4x - 8

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/slopes

100

Calculate the slope of the line for (9,8) and (7,12).

 m = -2

200

Write the equation in slope intercept form.

       2x - 4y =16

   y = 1/2x + 4

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

Solve the system of equation for x and y using the substitution method. 

  y = 3x

  5y + 5x = 40

       

                    ( 2, 6)

           

500

An equilateral triangle has side lengths of (d + 5). The perimeter of the triangle is 45cm.  What is the length of each side of the triangle?

* Draw a diagram.  Write an equation and solve for d. Use your solution to help you find the side length of the triangle.

(d+5) + (d+5) + (d + 5) = 45

3d + 15 = 45

3d = 30

d=10

( d + 5)  = (10 + 5) = 15cm each side