Question

I need help with five questions.

Which of the values in the set {1, 2, 3, 4} is a solution to the equation 3x + 3 = 15?

k = 2 over 3 is a solution to the inequality 18k + 4 > 18.

Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle and he earns $6.50 per hour working at the grocery store. Can Fred buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours? Use the inequality 3.75y + 6.50z + 14.25 ≥ 50.

Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?

Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?

Answer 1

1. 3(4) + 3 = 15
12 + 3 = 15
15 = 15 (correct)...answer is 4

2. 18k + 4 > 18
18k > 18 - 4
18k > 14
k > 14/18
k > 7/9

2/3 > 7/9
6/9 > 7/9 (incorrect).....so k = 2/3 is not a solution

3. 3.75(3) + 6.50(4) + 14.25 > = 50
11.25 + 26 + 14.25 > = 50
51.50 > = 50 (true)....Fred can buy the video game

4. 3x + 4y + 6 = 26
3x + 4y = 26 - 6
3x + 4y = 20
there can be more then 1 answer for this, but since u dont have answer choices....x can be 4 and y can be 2

5. 3a + 4 > = 13
3a > = 13 - 4
3a > = 9
a > = 9/3
a > = 3....so solutions are : 3, 4.5, 5