Question 1(Multiple Choice Worth 4 points)
(07.02)

What is the value of c in the equation 2c + 5(c − 5) = 10?

0
2
5
10
Question 2(Multiple Choice Worth 4 points)
(07.02)

How many solutions can be found for the equation 4x − 8 − 4x = 9?

Zero
One
Two
Infinitely many
Question 3(Multiple Choice Worth 4 points)
(07.02)

An equation is shown below:

3(4x + 5) = 12

Which of the following correctly shows the beginning steps to solve this equation?


Step 1: 12x + 15 = 12
Step 2: 12x = −3

Step 1: 12x + 5 = 12
Step 2: 12x = 7

Step 1: 7x + 5 = 12
Step 2: 7x = 7

Step 1: 7x + 8 = 12
Step 2: 7x = 4
Question 4(Multiple Choice Worth 4 points)
(07.02)

What is the value of y in the equation 3y − 8 = 22?

7.3
8
10
14
Question 5(Multiple Choice Worth 4 points)
(07.02)

What is the value of y in the equation 2(3y − 6) = 0?

–2
0
2
6

Respuesta :


1) 5
2) zero
3) Step 1: 12x + 15 = 12
    Step 2: 12x = −3
4) 10
5) 2

This took me a long time to do so I hope this was beneficial :)) !! (btw I am absolutely sure about every answer. I checked my work plenty of times :)

Answer:

Step-by-step explanation:

(A) The given equation is:

[tex]2c+5(c-5)=10[/tex]

Upon solving the above equation, we get

[tex]2c+5c-25=10[/tex]

[tex]7c=35[/tex]

[tex]c=5[/tex]

Thus, the value of c is 5 and the option (C) is correct.

(B) The given expression is:

[tex]4x-8-4x=9[/tex]

Upon solving the above equation, we get

[tex]-8=9[/tex]

which is not possible, therefore there are zero solution of the given equation.

Hence, option (A) is correct.

(C) The given equation is:

[tex]3(4x+5)=12[/tex]

Upon solving the above equation, we get

Step 1. [tex]12x+15=12[/tex]

Step 2 [tex]12x=-3[/tex]

Thus, option A is correct.

(D) The given equation is:

[tex]3y-8=22[/tex]

Upon solving the above equation, we get

⇒[tex]3y=30[/tex]

⇒[tex]y=10[/tex]

Hence, option (C) is correct.

(E) The given equation is:

⇒[tex]2(3y-6)=0[/tex]

⇒[tex]6y-12=0[/tex]

⇒[tex]6y=12[/tex]

⇒[tex]y=2[/tex]

Hence, option C is correct.