1. is the equation true, false, or open? explain.. 9p + 8 = 10p + 7 (1 point). open, there is a variable.. true, the expressions are the same for all values of the variables.. false, the expressions are never the same.. 2. is x = 1 a solution of the equation 2 – 8x = –6? (1 point). yes. no. . 3. is (3, 13) a solution of the equation y = 4x? (1 point). yes. no. 4. which ordered pair is a solution of the equation y = 3x? (1 point). (–2, –9). (–8, –18). (–8, –3). (–10, –30). 5. which ordered pair is a solution of the equation y = –9x + 4? (1 point). (10, –86). (–4, –58). (6, –41). (–6, 57)

The correct answers are:

#1)  Open; there is a variable;
#2) Yes;
#3) No; 
#4) (-10, -30); and 
#5) (10, -86).

Explanation:

#1) An open sentence is one that contains a variable.  This has a variable, p, on each side, so it is an open sentence.

#2) Solving the equation
2 - 8x = -6

Subtract 2 from each side:
2 - 8x - 2 = -6 - 2
-8x = -8

Divide both sides by -8:
-8x/-8 = -8/-8
x = 1
The answer is yes.

#3)  For the equation y = 4x, to see if (3, 13) is a solution, substitute 3 for x:
y = 4(3)
y = 12

Since it is not 13, (3, 13) is not a solution.

#4) For the equation y = 3x, if we substitute -10 for x, we have:
y = 3(-10) = -30

The solution would be (-10, -30).

#5) For the equation y = -9x + 4, substitute 10 for x:
y = -9(10) + 4
y = -90 + 4
y = -86

The solution would be (10, -86).