Algebra I - Unit 1 Review - Block I

Identify the Property

100

What property is illustrated by the equation 6+(4+x)= 6+(x+4)

What is the commutative property of addition?

200

What property is represented by the statement:

1/2(6a+4b) = 3a + 2b

What is the distributive property?

300

4 (1/4) = 1

The Multiplicative Inverse Property

400

If M and A represent integers, M + A = A + M is an example of which property?

Commutative Property of Addition

500

When solving for the value of x in the equation 4(x-1)+3=18, Aaron wrote the following lines on the board.

[line 1] 4(x-1)+3=18

[line 2] 4(x-1)=15

[line 3] 4x-1 = 15

[line 4] 4x=16

[line 5]  x=4

Which property was used incorrectly when going from line 2 to line 3?

The Distributive Property

Variables on Both Sides

100

7m=2m+10

m=2

200

-10k+1=40-7k

k = -13

300

5 + 8(-x - 5) = -2x + 1

x=-6

400

30+2x=-4(5x-2)

x = -1

500

-16 –7(2a+3)=23–2a

a = -5

Multi Step Equations

100

3x+14=122

x = 36

200

9x+1-7x-5=-20

x= - 8

300

1/2y=40

80

400

(4x + 12) / 4 = 10

x = 7

500

9m-27+3m=7m+43

m = 14

Rational vs. Irrational

100

Is the following rational or irrational?

sqrt(169)

Rational 

sqrt(169) = 13

200

Is the following Rational or Irrational?

sqrt(19)

Irrational--We would get a non-repeating, non-terminating decimal.

300

Is the following rational or irrational?

2/sqrt(6)

Irrational because a fraction is a ratio of two integers, and a the square root of 6 is irrational. 

400

Is this number rational or irrational?

5.7896

Rational because it is a terminating decimal

500

Is this number rational or irrational?

pi

Irrational --It's a non-terminating, non-repeating decimal

Order of Operations

100

(15+35-2)-:12-5^2

-21

200

9(13*2+9^2)-4

959

300

(11-8)-5^2(11+2)

-322

400

(4+2)^3+(5-14-:7)

219

500

6*4-:12+72-:8-9

2