Numerical & Algebraic Expressions

Numeric or Algebraic

100

What does it mean for an expression to be algebraic?

Has numbers, operations, and letters (or variables)

200

What does it mean for an expression to be numerical?

Has only numbers and operations

300

Is the following expression numerical or algebraic? 3x+1

Algebraic

400

Is the following expression numerical or algebraic? 54-3

Numerical

500

Algebraic expressions and numerical expressions have many similarities. What is the one difference between algebraic expressions and numerical expressions?

Algebraic has letters (or variables)

Solving Algebraic

100

x+2 if x=3

5

200

x - 3 if  x=3

0

300

8x if x=6

48

400

12/x if x=2

6

500

6 + x - 1 if x=3

8

Solving Numeric

100

3+2-1

4

200

15-2x4

7

300

3 + 81/9

12

400

 10 x (4+5) - 12

78

500

[3(4-2)]+ 3 x 7

27

More Solving Algebraic

100

x-1 ; x=2

1

200

2x-3 ; x=3

3

300

3(x-2) ; x=3

3

400

-7(x-1) ; x=3

-14

500

2(x+2)-3 ; x=-1

-1

Translating

100

A number, n,  increased by 10.

n+10

200

The product of n and 15.

15n

300

The quotient of a number, x, increased by 8 and 12.

(x+8)/12

400

Twice a number, y, plus the sum of 2 and 10

2y + (2 + 10)

500

Three less than three times the difference between x and 7

3(x-7) - 3