Algebra Module 1 Review

Literally!?

100

Solve for L:

P = 2L + 2W

L = P/2 - W

200

Solve for x:

y = mx + b

x = (y - b)/m

300

Solve for r:

C = 2nr

r = c/2n

400

Solve the equation for c:

A = 4b + 4c

c = A/4 - b

500

Solve the equation for d:

a = bcd + f

d = (a - f)/bc

What is x?

100

Find the solution to 

7x + 3 = 4x - 15

x = -6

200

9h + 3 = 21

h=2

300

What is the error in the following problem?

3 + 7(x - 2) = 15

3 + 7x - 2 = 15

7x + 1 = 15

7x = 14

x = 2

Distributed incorrectly. They forgot to multiply the 7 and the -2. It should be 3 + 7x - 14 = 15

400

Solve the following equation and round to the nearest tenth

6x + 7= 9x-5

x=4

500

Solve the following equation.

6(x - 5) = 12

x = -3

Properties

100

What property is this?

(4+5)+6 = 4+(5+6)

Associative property of addition

200

Describe the differences between the associative and commutative properties.

For associative order stays the same and ( ) move, for commutative order changes!

300

What is the property?

3(x+5)=3x+15

distributive property

400

What is the property that gets us from step one to step two?

STEP 1) 7x + 1 = 15

STEP 2) 7x = 14

subtraction property of equality

500

What two properties are shown?

a(b+c)=a(c+b)=ac+ab

commutative property and distributive property

Rational or Irrational??

100

How do I know if a number is rational or not?

Rational numbers can be represented as a fraction,

Irrational numbers cannot be represented as a fraction.

200

What buttons do I hit on my calculator to see if a number is a fraction

Math—>ENTER—>ENTER

300

Rational or Irrational?

-105.23

Rational!

400

Rational or Irrational?

\pi

Irrational!

500

Which is rational?

\sqrt(23) , \sqrt(121) , \sqrt(123)

\sqrt(121) =11