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

`(2x)/(2) = (-6)/(2)`

x = -3

6) 8j - 5 + j = 67

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

+5 +5

9j = 72

`(9j)/(9) = (72)/(9)`

j = 8

7) y = mx + b

-b -b

y - b = mx

`(y - b)/(x) = (mx)/(x)`

`(y - b)/(x) = m`