Generate Equivalent Expressions

Writing Expressions

100

Four less than a number p

p - 4

200

5 more than the product of 10 and a number q

10q + 5

300

The quotient of 48 and a number z

48/z

400

The sum of 8, a number a, and a number b

8 + a + b

500

7 less than the quotient of 9 and a number q

9q - 7

Combining Like Terms

100

4x + 7 - 3x

x + 7

200

4z + 8y + z - 2y

5z + 6y

300

2x - 7x + x - y

-4x - y

400

17b - 18b - 12b

5b² - 18b

500

6(2x + 5y) + 3x

12x² + 33x

What's the property?

100

If the order of terms changes, the sum stays the same.

Commutative Property of Addition

200

When the grouping of terms changes, the sum stays the same.

Associative Property of Addition

300

The sum of 0 an any number is that number.

Identity property of addition

400

The product of any number is that number. 

Identity property of Multiplication

500

What property is this an example of?

12 x (3 x e)

(12 x 3) x e

Associative Property of Multiplication

Distributive Property

100

3(2f + 7)

6f + 21

200

2(3 + 5d)

6 + 10d

300

4(2x + 3y + 5d)

8x + 12y + 20d

400

Distribute and Simplify:

6(x + 4 + 2x)

18x + 24

500

p (4r + 5 + 5r +2)

9pr + 7p

Add/Subtract Expressions

100

4x + 2 + 7 - x

3x + 9

200

5x + 8 - x + 2 + x

x² + 4x + 10

300

5a + 8a -16 

13a -16

400

6(2x + 12) + x + x - 62

x² + 13x + 10

500

3(x + 3y + x) + 2(y + x + x)

5x²+ 11y + 5x