Math

Expressions

100

Evaluate the expression:

3⁵

243

200

Evaluate the square root of 64/225.

8/15

300

Simplify the square root of 4x²

2x

400

Evaluate |2x|+y² 

if x = -1, y=-2.

6

500

Write the expression:

7 less than 5 times a number

5x - 7

Number System

100

Is the square root of 12 rational or irrational?

Irrational

200

True or False:

All integers are rational.

True.

300

True or False:

All fractions are rational.

True

400

Simplify the square root of a²b⁴

ab²

500

True or False:

Half of any irrational numbers are irrational.

True

Number Properties

100

2x + 3 + 4x 

=

 2x+ 4x +3

Commutative property of addition

200

(7+x)+3x

=

7 + (x+3x)

Associative property of addition

300

a (1) = a

Multiplicative identity

400

x + (-x) = 0

Additive inverse

500

9x²y+3xy 

=

3xy(3x+1)

Distributive Property

Polynomials (- , +)

100

Combine terms 3x and 5.

3x + 5

200

Combine term 3x and -5x

-2x

300

Find the sum of 2x²+8x and x²-6x

3x²+2x

400

Subtract 2x²-4x from 8x²+9x

6x²+13x

500

Find the difference of p³+5p²-6 and 4p²-15

p³+p²+9

Equations

100

Solve for x. 

3x+5 = 50

x = 15

200

Solve for x

2x+ 3 = 4x - 7

x =5

300

Solve for x:

-3(x-2)-5= 13

x = -4

400

Solve for x

2(x−16)+ 2x = 6x-2

x=-15

500

Solve for x 

-4(-x+2)-2x+3=5(x+1)+2

x=-4