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. Simplify, using mental math and your knowledge of properties. Choose the correct answer.

2 锟?9 锟?50 锟?11 (Points: 4)
8800

8890

9900

9990



2. Choose the correct answer.

Which property makes Problem 1 easier to solve using mental math? (Points: 4)
symmetric property

commutative property

distributive property

closure property



3. Simplify, using mental math and your knowledge of properties. Then choose the correct answer.

(17 锟?12) + (3 锟?12) (Points: 4)
220

240

260

280



4. Choose the correct answer.

Which property makes Problem 3 easier to solve using mental math? (Points: 4)
symmetric property

commutative property

distributive property

closure property



5. If x 锟?1 = 15, then x = 26. The steps of the problem are shown here. The reason for the last step of the solution is already given. Choose the correct answer.



Which mathematical property supports Step 1? (Points: 4)
addition property of equality

associative property of addition

property of opposites

identity property of addition



6. If x 锟?1 = 15, then x = 26. The steps of the problem are shown here. The reason for the last step of the solution is already given. Read the question and choose the correct answer.



Which mathematical property supports Step 2? (Points: 4)
addition property of equality

associative property of addition

property of opposites

identity property of addition



7. If x 锟?1 = 15, then x = 26. The steps of the problem are shown here. The reason for the last step of the solution is already given. Read the question and choose the correct answer.



Which mathematical property supports Step 3? (Points: 4)
addition property of equality

associative property of addition

property of opposites

identity property of addition



8. If x 锟?1 = 15, then x = 26. The steps of the problem are shown here. The reason for the last step of the solution is already given. Read the question and choose the correct answer.



Which mathematical property supports Step 4? (Points: 4)
addition property of equality

associative property of addition

property of opposites

identity property of addition



9. Simplify the expression. Then choose the correct answer.


(Points: 4)
锟?

锟?

锟?

锟?0



10. Simplify the expression. Then choose the correct answer.

(锟?)(锟?) 锟?9(锟?)
(Points: 4)
锟?44

0

144

锟?4



11. Simplify the expression. Then choose the correct answer.


(Points: 4)
锟?1

锟?

9

81



12. Simplify the expression. Then choose the correct answer.

锟? + (锟?)j + 3 + (锟?)j (Points: 4)
3 锟?16j

锟?2 锟?7j

锟? + 7j

锟?锟?7j



13. Simplify the expression. Then choose the correct answer.

(Points: 4)
jk

锟絡k

2jk

锟?jk



14. Simplify the expression. Then choose the correct answer.

3(a 锟?2) + 5(a + 6) (Points: 4)
8a

8a + 12

8a + 24

8a + 36



15. Oxygen has a melting point of 锟?18.4锟紺. If the boiling point is 35.4锟紺 higher than the melting point, find the boiling point of oxygen. (Points: 4)
锟?53.8锟紺

锟?83锟紺

183锟紺

253.8锟紺



16. Which equation represents the relationship among the integers?

Three consecutive even numbers whose sum is 168 (Points: 4)
x + (x + 1) + (x + 2) = 168

x + (x + 2) + (x + 4) = 168

x锟?x + 1) 锟?(x + 3) = 168

x锟?x + 1) 锟?(x + 2) = 168



17. Which equation represents the relationship among the integers?

The number of fish in Rick锟絪 and Lisa锟絪 aquariums are consecutive integers. When Rick and Lisa each had three fewer fish, Rick and Lisa had 15 fish all together. (Points: 4)
3 锟?x + 3 锟?(x + 1) = 15

3 锟?x + 3 锟?(x + 1) = 15

x 锟?3 + (x + 1) 锟?3 = 15

x 锟?3 锟?(x + 1) 锟?3 = 15



18. Use the five-step Plan for Problem Solving to solve. Then choose the correct answer.

The lengths in centimeters of the three sides of a triangle are consecutive odd integers. The perimeter of the triangle is 45 cm. Find the lengths of the three sides. Use n for your variable.

domain for the shortest side: {7, 11, 13} (Points: 4)
{7, 9, 11}

{11, 13, 15}

{13, 15, 17}

no solution



19. Choose the correct answer:

The product of two consecutive numbers is 650. What are the two numbers? (Points: 4)
19 and 20

24 and 25

25 and 26

29 and 30



20. Evaluate, then choose the correct answer.

鈥搙 + y + (鈥?) if x = 鈥? and y = 鈥? (Points: 4)
鈥?

鈥?

3

5



21. Evaluate, then choose the correct answer.

(Points: 4)
3

15

鈥?5





22. Evaluate the expression.


(Points: 4)
鈥?

1

3

7



23. Which statement is true about multiplication and division? (Points: 4)
They are both commutative operations.

They are both inverse operations.

They are both symmetric operations.

They are both associative operations.

Two things: first, we're only to help--we're not here to do YOUR homework. Secondly, you should at least check over your question before you submit, which you clearly didn't (otherwise you would have noticed how many questions were missing the expressions and equations). You can't just copy and paste an image like that.

Because you had 0 consideration for posting this, I won't even do a single one.

im not doing you math homework FOR you little girl.

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