Algebra Basic Skills

Types of Numbers

100

Is the number 2.65 rational or irrational?

Rational

200

Is the number below rational or irrational?

sqrt(2)

Irrational

300

Is the number below rational or irrational?

sqrt9

Rational

400

Which of the numbers below cannot be classified as an integer?

a.  -2

b.  198

c.  3.5

d. 0

C.  3.5

500

Which of the following cannot be classified as a whole number?

a.  -6

b.  5

c. 0

d. 27

a. -6

Exponent Rules

100

Simplify:

(x² )(x⁴ )

x⁶

200

Simplify:

(x³)(x²)(x⁵)

x¹⁰

300

Simplify:

(x⁴)³

x¹²

400

Simplify:

4x(5x²)

20x³

500

Simplify:

(24a^4b^3)/(8a^3b)

3ab²

Evaluate

100

Find the value if x=4.

6x+2

26

200

Find the value if a=3

a² - 7

2

300

Evaluate the expression for m=0

7m + 2m - 4

-4

400

Evaluate the expression for y=2

(7+y)/(y+1

3

500

Evaluate the expression for x = -3

4x² - 5x + 10

61

Proportions

100

In order to solve proportions, we must ___________

cross multiply

200

Determine if the proportion is true or false:

1/2=5/10

True

300

Determine if the proportion is true or false:

14/20=63/90

True

400

Find the value of x that makes the proportion true:

x/5=8/10

x=4

500

6/9=(3x)/18

Solve for x:

x=4

Translating

100

What is the sum of seven and a number?

n+7

200

What is the product of a number and 6

6n

300

What is the quotient of a number and 2?

n/2

400

How do you write 20 less than a number?

n-20

500

What is the sum of twice a number and a third of a different number?

2n+1/3m