Expressions Monte Vista

Distributive Property

100

Simplify the expression :

5(2+3)

10+15   OR 25

200

Simplify the algebraic expression : a(b+c)

ab+ac               

300

Use the distributive property in reverse to rewrite : 24a+36

4(6a+9) or 12(2a+3) or 6(4a+6)

400

Use the distributive property in reverse to rewrite :

54x+36y

6(9x+6y) or 9(6x+4y) 

500

An expression is shown.

(17y − 2) · 15

What are the factors in this expression?

15 and (17y - 2)

Equivalent Expressions

100

 Create an equivalent expression 4(3x+8y).

12x+32y

200

Create an equivalent expression: 72x+18y

9(8x+2y)

300

Create an equivalent expression:  

4(8p + 13q)

2(16p + 26q)

400

Write an equivalent expression : 4(14p + 5q)

56p + 20q or 2(28p + 10q)

500

Create an equivalent expression : r + r + r + r + r

5r

Parts of an Expression

100

What is the correct name for 11 in : 18z+11c

Coefficient 

200

What is the correct name for the 3a in this expression: 3a+12c

Term

300

What is the correct name of g in : 3g + 2h - 1

Variable

400

What is the correct name of 2 in : 5a + 3x + 2

Constant 

500

What are the factors in the following expression: 

2(3y+16)

2 and (3y+16)

Isolate the Variable

100

c-22=54

c=76

200

12+a=19

a=7

300

23=g-7

30=g

400

1/2g=6

g=12

500

13r=195

r=15

Combining like Terms

100

5g-g+2y+4y

4g+6y

200

h+2h+7g+9+g

3h+8g+9

300

16x²+4x²-2x-12x²+4x

8x²

400

3g²+5g-2g²+g

g²+6g

500

6h³+2h²+2h-h+5h³

11h³+2h²+h