Middle School Math Unit 3 Review

Category 1Scientific Notation

100

Write in scientific notation

24,000,000

2.4xx10^7

200

Write in scientific notation

700,000,000,000

7xx10^11

300

Write in scientific notation

 0.00023 

(there are 3 zeros after the decimal point)

2.3xx10^-4

400

Write in scientific notation

 0.000000894 

(there are 6 zeros after the decimal point)

8.94xx10^-7

500

Put the following numbers in order from least to greatest

 125% , 1.5xx10^2 ,  1 4/5 ,  5^3  

125%, 1 4/5, 5^3, 1.5xx10^2

Category 2Order of Operations

100

4^3+36\div(3+1)\cdot2

82

200

(7^2-8\div2^3)/(-6+2)^2

3

300

(10+5^2\cdot2)/(12-2\cdot4)

15

400

48\div8(2^4)-(6-11)^2

71

500

(13-5\cdot9+8)/(35-3^3)

-3

Category 3Evaluating Algebraic Expressions

100

Evaluate for k=3

k^4-7k^2

18

200

Evaluate for a=4 and b=-3

a^2-7ab+b^2

109

300

Evaluate for x=3 and y=-1

(12xy)/(x-y)

-9

400

Evaluate for a=4 and b=-7

 5/2a^3-ab 

188

500

Evaluate for x=-8 and y=-2

(x^2+xy)/(3x-2y)

-4

Category 4Simplifying Algebraic Expressions

100

-8d-10c+17c+d-4c

3c-7d

200

-4(n-1)-5n

-9n+4

300

7(5a-9)-4(8a-7)

3a-35

400

-16-(8k+17)+3k

-5k-33

500

(-28+17v)-(2v-19)

15v-9

Category 5Factoring Algebraic Expressions

100

Factor out the GCF

6x-30

6(x-5)

200

Factor out the GCF

32w+20

4(8w+5)

300

Factor out the GCF

27x+3y

3(9x+y)

400

Simplify and then factor using the GCF

7(3n+2)-3n-5

9(2n+1)

500

Simplify and then factor using the GCF

9(4x-2)-4(3x-2)

2(12x-5)