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Pre-Algebra Mid-Year Review (Grade 6)

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Pre-Algebra Mid-Year Review

1. 
The coefficient is the number that is                            by the variable in an algebraic expression.
2. 
A symbol that represents a quantity that can be changed is a                       .
3. 
                     Identify the expression as numeric or algebraic. 16 x 4 + (40 - 8)
4. 
The product of a given whole number and an integer. For example: 3 x 3 = 9; 9 is a                  of 3.
  1. Factor
  2. Multiple
  3. Prime Number
  4. Composite Number
5. 
Which group contains only prime numbers?
  1. 5, 13, 29, 47
  2. 7, 11, 27, 43
  3. 7, 19, 33, 41
  4. 11, 17, 37, 39
6. 
Which property shows
(7 + 4) + 6 = 7 + (4 + 6)?
  1. distributive property
  2. associative property
  3. identity property
  4. commutative property
7. 
What operation is always used in distributive property?
  1. addition
  2. division
  3. multiplication
  4. subtraction
8. 
Find the equivalent of [math]a (b-c)[/math].
  1. [math](a)(b)-(c)[/math]
  2. [math](ab)(-c)[/math]
  3. [math](a)(b)(c)[/math]
  4. [math](a)(b)-(a)(c)[/math]
9. 
Choose the answer.

[math]5^2[/math]
  1. 10
  2. 15
  3. 20
  4. 25
10. 
Simplify the expression [math]b^4 * b^2[/math].
  1. [math]b^16[/math]
  2. [math]b^6[/math]
  3. [math]b^2[/math]
  4. [math]b^8[/math]
11. 
Which number would be closest to [math]sqrt99[/math]?
  1. 8
  2. 9
  3. 10
  4. 11
12. 
Evaluate.

[math]-5/6-:(-2/9)[/math]
  1. [math]10/54[/math]
  2. [math]7/15[/math]
  3. [math]15/4[/math]
  4. [math]2[/math]
13. 
If [math]m/p =2/3[/math], what can you conclude?
  1. [math]3m=2p[/math]
  2. [math]2m=3p[/math]
  3. [math]mp=6[/math]
  4. [math]m+p=5[/math]
14. 
3 times the quantity [math]m[/math] minus 7
  1. [math]3(m-7)[/math]
  2. [math]3 xx m-7[/math]
  3. [math]3-m[/math]
  4. [math]3 xx m7[/math]
15. 
What value of n makes this number sentence true?

60 - n = 35
  1. 95
  2. 30
  3. 35
  4. 25
16. 
What is the value of b in the equation below and why?
b - 32 = 46
  1. The value of b is 88 because 46 + 32 = 88
  2. The value of b is 78 because 46 + 32 = 78
  3. The value of b is 15 because 46 - 32 = 15
  4. The value of b is 14 because 46 - 32 = 14
17. 
Evaluate the algebraic expression for the given value of x = 5

8 + 6x
  1. 38
  2. 48
  3. -38
  4. -48
18. 
Use the correct order of operations to evaluate the following expression for a=2.

a + (6 x 8) - (1 x a)
  1. -60
  2. 46
  3. 48
  4. 62
19. 
Mrs. Gladstone has 4 times as many quarters as Mrs. Bowling. If q represents the number of quarters that Mrs. Bowling has, which of the following expressions represents the number of quarters Mrs. Gladstone and Mrs. Bowling have altogether?
  1. (4 x q) + q
  2. (4 + q) x q
  3. (4 + q) + q
  4. (4 x q) x q
20. 
Write using exponents.
[math]4xx4xx4xx4xx4xx4xx4[/math]



21. 
Estimate the value of [math]sqrt75[/math] to the nearest integer. Explain your reasoning.



22. 
[math]x+13=40[/math]

[math]x=[/math]



23. 
Half of the sum of 50 and a number, n



24. 
25 more than 1/2 times n



25. 
Your teacher gave the class the following problem to solve: [math]5+2xx5-3[/math]

Your friend, Jade, solved the problem this way:
[math]5+2xx5-3[/math]
[math]7xx5-3[/math]
[math]35-3[/math]
[math]32[/math]

Check her work for her and explain to her how you know her answer is correct or incorrect.



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