Question

1.
What is the value of z in the equation 5z – 9 = 36? (4 points)


4
5
6
9
2.
What is the value of z in the equation 5(2z + 4) = 0? (4 points)


-2
0
2
20
3.
What is the value of a in the equation 4a + 3(a + 1) = 24? (4 points)


2
3
7
21
4.
An equation is shown below:

3(4x + 5) = 12

Which of the following correctly shows the beginning steps to solve this equation? (4 points)



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
5.
How many solutions can be found for the equation 4x – 8 – 4x = 9? (4 points)


Zero
One
Two
Infinitely many

Answer 1

Question 1:

5z – 9 = 36

5z = 45

z = $\frac{45}{5}$

z = 9

Hence, the answer is D.

Question 2:

5(2z + 4) = 0

10z + 20 = 0

10z = -20

z = $\frac{-20}{10}$

z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = $\frac{21}{7}$

a = 3

Hence, the answer is B.

Question 4:

3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = $\frac{-3}{12} = - \frac{1}{4}$

Hence, the answer is A.

Question 5:

4x – 8 – 4x = 9

-8 ≠ 9

Hence, the answer is A.

Answer 2

Ugh oh..sorry..First time user.. answer one 9. Answer three. 3