## Please do not do this for the points, it’s rude and disrespectful. I really need help. 0/3 Questions Answered. 1.

Please do not do this for the points, it’s rude and disrespectful. I really need help.

0/3 Questions Answered.

1.

Points A and B are to be mapped onto a number line according to two equations. The solution to the equation A/2= -5 is the coordinate of point A. The solution to the equation 8= -B/0.5 is the coordinate of point B.

Solve the first equation to find the coordinate of point A. Show your work.

Solve the second equation to find the coordinate of point B. Show your work.

Determine the distance between points A and B. Explain.

2.

Tyler is x years old. Samantha is 4 years older than Tyler. Three times Samantha’s age is equal to 60.

(a) Write an equation that could be used to solve for Tyler’s age, x.

(b) How old is Tyler?

(c) How old is Samantha?

3.

Solve the given inequality and graph the solution on a number line. x/2+1/4<3/4

(a) Solve the given inequality to find the solution for x:

(b) Graph the solution from the inequality below.

## Answers ( )

Answer:

1) A = -10, B = -4, distance = 6 units

2) Eqaution: 3(x+4) = 60

Tyler’s age: 16 Samantha: 20

3) x < 1

Draw a number line from 1 towards left, with an open circle at x = 0

Step-by-step explanation:

1) A/2 = -5

A = -5×2 = -10

8 = -B/0.5

8×0.5 = -B

B = -4

Distance = -4 – (-10) = -4 + 10 = 6

2) S = 4 + x

3s = 60

3(4 + x) = 60

3S = 60 S = 20

4 + x = 20 x = 16

3) x/2 + ¼ < ¾

x/2 < ¾ – ¼

x/2 < ½

x < 1

Draw a number line going towards left from 1, with an open circle at x=1 because x=1 is not included