1. which ordered pair is the solution to y = 2x + 10?
explain the answer

2. solve the following equation:
m – 8 = -14
explain

3. solve the following equation:
4
-
7
= −16

4. solve the following equation.
4 + 13 + = 2 + 40 − 6

5. you train for the olympics 120 minutes each day. how
many days have you trained when you have jogged 1080
minutes?

6. billy’s age, b, and jasmine’s age, j, are related by the
equation b = 2j – 14. when billy’s age is 34 years old, how
old is jasmine?

7. solve the following equation.
9 − 4 = −3 + 5 + 12

8. both carrie and her sister kim were born on october 25,
but kim was born 2 years before carrie. how can you
represent the relationship between carrie’s age and
kim’s age in different ways? ( 3 pts.)
equation (1 pt.)
graph (1 pt.)
table (1 pt.)

1. (-8,2)

2. m=6

3. ?...

4. 17=36??

5. 9 days

6. Jasmine is 24 years old

7. 5=14??

8. Carrie and Kim

9. add 2

Step-by-step explanation:

Hope this helps!

Have a great day! :)

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9