Question

Help!

1. Is the equation True, False, or Open? Explain.
8+4=-5+7.

2. Which ordered pair is a solution of the equation y=-11x+4? (Show your work)
a. (0,-7)
b. (-1, -7)
c. (1, -7)
d. (2,26)

3. Complete the table and state the rule.
Input: Output:
0 0
-- 3
2 --
3 9
-- --
5 15
6 --

4. A plumber charges $65 per hour to fix a leak. What is an equation that relates the total cost of a leak repair (c) to the number of hours, (h), it takes the plumber to fix the leak.

5. Solve for x: (Show Work)
2x=-6

6. Solve for j: (Show Work)
8j-5+j=67

7. Solve for m (Literal Equations):
y=mx+b

Answer 1

1) 8 + 4 = -5 + 7

     12   =    2

        FALSE

2) y = -11x + 4

(0, -7):   -7 = -11(0) + 4   ⇒   -7 = 0 + 4   ⇒   -7 = 4   False

(-1, -7):  -7 = -11(-1) + 4   ⇒   -7 = 11 + 4   ⇒   -7 = 15   False

(1, -7):  -7 = -11(1) + 4   ⇒   -7 = -11 + 4   ⇒   -7 = -7   True

(2, 26): 26 = -11(2) + 4   ⇒   26 = -22 + 4   ⇒   26 = -18   False

Answer: C

3) Input       Output

     0                0

    1                 3            

    2                6  

    3                 9

    4                12  

    5                 15

    6                 18  

Rule: input is being added by 1, output is 3 times x

4) c = 65h

5) 2x = -6

   $\frac{2x}{2} = \frac{-6}{2}$

    x = -3

6) 8j - 5 + j = 67

        9j - 5 = 67   added like terms (8j + j)

             +5   +5

        9j      = 72

       $\frac{9j}{9} = \frac{72}{9}$

        j      = 8

7) y = mx + b

  -b          -b  

y - b = mx

$\frac{y - b}{x} = \frac{mx}{x}$

$\frac{y - b}{x} = m$