Question

Question 1 (5 points)

Answer 1

Answer:

• 1. C, 2. B, 3. A, 4. C, 5. A, 6. - 7. C, 8. A, 9. (3, 13)

Step-by-step explanation:

Question 1

• 4p + 7 = 3 + 4 + 4p
• 4p + 7 = 4p + 7

Both sides are equal, so any value of p makes it right. It means there are infinitely many solutions

Question 2

2(3x − 4) = 8 + 2x + 4

Step 2 was wrong, it should be 6x - 8 = 12 + 2x

Question 3

• 3/(4z) - 1/(4z) + 3 = 2/(4z) + 5
• 2/(4z) + 3 = 2/(4z) + 5
• 3 = 5

It ends up with false equation, so no solution.

Question 4

• 1.6m − 4.8 = −1.6m
• 1.6m + 1.6m = 4.8
• 3.2m = 4.8
• m = 4.8/3.2
• m = 1.5

Question 5

Line C: y = x + 14

Line D: y = 3x + 2

• x+ 14 = 3x + 2
• 3x - x = 14 - 2
• 2x = 12
• x = 6

• y = 6 + 14 = 20

Solution is (6, 20), this is the intersection of lines

Question 6

• It should have a graph attached, so ignored

Question 7

• a − 3b = 16
• a = b − 2

• b - 2 - 3b = 16 ⇒ -2b = 18 ⇒ b = - 9

• a = - 9 - 2 = - 11

Solution is (a, b) = (- 11, - 9)

Question 8

• p = w + 2
• p = 7w − 16

Easy method is substitution: w + 2 = 7w - 16

Question 8

• y = 7x − 8
• y = 5x − 2

Easy method is substitution:

• 7x - 8 = 5x - 2
• 7x - 5x = 8 - 2
• 2x = 6
• x = 3

• y = 7*3 - 8 = 21 - 8 = 13

• The point (3, 13) is the solution and it is the intersection of the lines.