Algebraic Expressions and Real Number System Review

Vocabulary

100

Identify the variables in the following algebraic expression:

7x + 2y - 2.3 + 9a

x, y, a

200

Identify the coefficients in the following algebraic expression:

9p + 2 + q - 1

9 and you could also say 1.

300

How many terms are in the following algebraic expression:

9j + 4k - 7 + 2p - 7x

5 terms

400

What operations do each of these words mean?

sum

difference

product

quotient

Addition - sum

Subtraction - difference

Multiplication - product

Division - quotient

500

DAILY DOUBLE

After the following algebraic expression is simplified, how many terms will it have:

9b + 7b + 4 - 2b - d + 4c - 12 + c

4 terms

Real Number System

100

What type of Numbers are non-terminating and non-repeating? 

(Hint pi is one of them)

Irrational Numbers

200

What is the only difference between Whole numbers and Natural Numbers?

Whole Numbers have 0 and Natural do not.

300

What kind of numbers are rational numbers?

Any number that can be represented as a decimal or fraction

400

Give an example of one number that is an Integer, Rational, and Real number.

 Any number that is negative and not a decimal or fraction.

500

Show a square root number that is rational and a square root number that is irrational and be prepared to explain the difference.

Any square root number that is a perfect square will be rational and any square root number that is not a perfect square will be irrational.

Simplify (combine like terms)

100

Simplify the following expression:

v + v + 5 - 2 + 3v

5v + 3

200

Simply the following expression:

4k + 3j + 6 + k + 8j

5k + 11j + 6

300

Simply the following expression:

17 + 15x - 10 - 12x

3x + 7

400

Simply the following expression:

3p + 5p² + 6p² + 9

11p² + 3p + 9

500

4x³ + 6x² - 3x² + 4x

4x³ + 3x² + 4x

Equivalent

100

Write the expressions in standard form.

Are the following expressions equivalent?

2 + 7n

3n + 2 + 4n

Yes

7n + 2

200

Write the expressions in standard form.

Are the following expressions equivalent?

2x + 5

x + 8 + x - 3

Yes

2x + 5

300

DAILY DOUBLE

Write the expressions in standard form.

Are the following expressions equivalent?

3w - 5

2 + 4w + 3 - 2w

No, they are not equivalent.

3w - 5 

2w + 5

400

Write the expressions in standard form.

Are the following expressions equivalent?

(2y)*(2) and 4y

Yes

4y 

500

Write the expressions in standard form.

Are the following expressions equivalent?

60s/5

s + 14s - 3s

Yes

12s

Evaluate

100

Evaluate: 2x -1 for x = 7

13

200

5(m-3) +10w for m= 8 and w = 2

45

300

Evaluate 2⁴

16

400

2²(3x+1) for x =2

28

500

Evaluate 5b²+28 for b = 1.5

39.25