What is the value of z in the equation 3z + 5 = 4z − 8? (4 points) a
−13

b
−1

c
1

d
13

Question 2 (4 points)
(07.05)

Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y? (4 points)

a
5y = 2

b
5y = 10

c
11y = 2

d
11y = 10

Question 3 (4 points)
(07.05)

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? (4 points)

a
−4

b
−2

c
2

d
4

Question 4 (4 points)
(07.05)

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13? (4 points)

a
None

b
One

c
Two

d
Infinitely many

Question 5 (4 points)
(07.05)

The work of a student trying to solve the equation 2(2x − 3) = 6 + 2x + 4 is shown below:

Step 1: 2(2x − 3) = 6 + 2x + 4
Step 2: 4x − 3 = 10 + 2x
Step 3: 4x − 2x = 10 + 3
Step 4: 2x = 13
Step 5: x = 6.5

In which step did the student first make an error and what is the correct step? (4 points)

a
Step 2: 4x − 6 = 10 + 2x

b
Step 2: 4x − 3 = 2 + 2x

c
Step 3: 4x + 2x = 10 + 3

d
Step 3: 4x − 2x = 10 - 3

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

lol, i have been using this product for a while and the second half of the year for a lon and the first time in a long time ago that the government has not yet received enough votes to be a good the first place in the world to be able to do it in my world life, i