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Verbal/Written Algebraic Expressions

100

 75-n

75 decreased by a number 

200

The product of 35 and a number

35n

300

The quotient of 40 and a number 

40 / n

400

n - 300 

A number less than 300 

500

67 * n 

The product of 67 and a number 

Order of Operation

100

(13 * 3) -3 + 6

(13 * 3) -3 + 6 = 42

200

40/ (15 - 7) * 8

40/ (15 - 7) * 8 = 40

300

14 - 4² * 13 

14 - 4² * 13 = -26

400

50 -(6² * 4) * 5 

50 -(6² * 4) * 5 = -470

500

( 13 * 8²) - ( 50 / 5 ) 

( 13 * 8²) - ( 50 / 5 ) = 822

Integers

100

10 + ( -5 )

10 + ( -5 ) = 5 

200

6 * ( 8 - 6 )

6 * ( 8 - 6 ) = 12 

300

5 - ( -4 ) 

5 - ( -4 ) = 9

400

8 + ( -5 + 4 )

8 + ( -5 + 4 ) = 7

500

15 * ( -4 + 3 )

15 * ( -4 + 3 ) = -15

Distributive Property

100

8 ( 4 + 6)

8 ( 4 + 6) = 32 + 48 = 90

200

8x ( 4y - 5) 

8x ( 4y - 5) = 32 xy - 40x

300

( -4 ) ( 8 * 10 )

( -4 ) ( 8y * 10 ) = -32y * -40

400

( 7x ) ( 6x / 9 )

( 7x ) ( 6x / 9 ) = 42x² / 63x

500

3xy ( 6 xy * 4x )

3xy ( 6xy * 4x ) = 18x² y² * 12x²

Combining Like Terms

100

24x * 9 * 5x 

24x * 9 * 5x = 120x * 9

200

9x * 5 * 4x + 10

9x * 5 * 4x + 10 = 36x + 50 

300

6 / 2 * 4x + 20x

6 / 2 * 4x + 20x = 3 * 24x

400

13x * 2 + 15x 

13x * 2 + 15x = 28x * 2 

500

30x * 2 + 4x + 7

30x * 2 + 4x + 7 = 34x * 9