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Pre-Algebra Unit 2 Introduction to Algebra

True/False
Indicate whether the statement is true or false.
 

 1. 
All of the following statements are correct.

6 + (–3) = 3
6 + (–2) = 4
6 + (–1) = 5
6 + 3 = 3
 

 2. 
Is the following statement true?

75 + (–26) + (–10) = 39
 

 3. 
–32 + (–4) + (–14) + (–17) = –88
 

 4. 
tf004-1.jpg
 

 5. 
tf005-1.jpg
 

 6. 
Is the following statement true or false?

tf006-1.jpg
 

 7. 
9(3x - 10b) = 27x - 90b
 

 8. 
12(9 - 11z) = 108 - 132z
 

 9. 
The area and perimeter of the square with the length of the side s = 24 are A = 576 and P = 96.
 

 10. 
The area and perimeter of the rectangle with the length l = 120 and width w = 60 are A = 7,200 and P = 360.
 

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Add the numbers left to right.

mc001-1.jpg
a.
22
b.
-19
c.
21
d.
18
e.
-20
 

 2. 
If the sum of (–15) and (–4) is increased by 20, what number results?
a.
2
b.
1
c.
0
d.
–1
 

 3. 
Complete the table.

mc003-1.jpg
a.
mc003-2.jpg
d.
mc003-5.jpg
b.
mc003-3.jpg
e.
mc003-6.jpg
c.
mc003-4.jpg
 

 4. 
What number do you subtract from 5 to get 8?
a.
5
b.
-2
c.
-3
d.
-4
e.
6
 

 5. 
Use the rule for order of operations along with the rules for addition, subtraction, and multiplication to simplify the following expressions.

mc005-1.jpg
a.
–193
b.
–249
c.
193
d.
249
 

 6. 
Use the rules of the order of operations along with the rules for addition, subtraction, multiplication, and division to simplify the expression.

mc006-1.jpg
a.
18
b.
21
c.
12
d.
15
e.
9
 

 7. 
Use the rules of division and the rule for order of operations to simplify the expression as much as possible.

mc007-1.jpg
a.
7
b.
3
c.
–2
d.
–3
 

 8. 
Use the rules of division and the rule for order of operations to simplify the expression as much as possible.

mc008-1.jpg
a.
2
b.
4
c.
–2
d.
6
 

 9. 
Simplify the expression.

mc009-1.jpg
a.
- 2
b.
0
c.
1
d.
- 1
e.
2
 

 10. 
Apply the associative property to the expression, and then simplify the result.

mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
e.
mc010-6.jpg
 

Numeric Response
 

 1. 
Steve is snorkeling in the ocean near his home in Maui. At one point he is 3 feet below the surface. If he descends another 6 feet, what negative number will represent his new position?

Enter your solution as a number without the units.

 

 2. 
Subtract.

40 - 34

 

 3. 
Simplify as much as possible by first changing all subtractions to addition of the opposite and then adding left to right.

-50 + 37 - 4

 

 4. 
Find the following product.

nr004-1.jpg

 

 5. 
Use the rule for order of operations along with the rules for addition, subtraction, and multiplication to simplify the following expressions.

nr005-1.jpg

 

Matching
 
 
Match the expression with the number which is closest to the result.

Choose the correct letter for each question.
a.
grp001-1.jpg
b.
grp001-2.jpg
 

 1. 

 ma001-1.jpg
 

Short Answer
 

 1. 
Apply the distributive property to the expression, and then simplify.

2(4 - 12z)
 



 
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