Topic 3 Part 2

Evaluate algebraic expressions

100

6+3m  

when m = 12

42

200

25p - 4

when p = 1/2

8.5

300

3e + (7f - g)

when e = 4, f = 5, g = 20

27

400

(8a/b) - c

when a = 6, b = 12, c = 2

2

500

7 + a² / c

when a = 1/4, c = 4

7  1/64

Algebraic Expressions

100

The sum of 6 and t

6 + t

t + 6

200

The quotient of z and 41

z /41

300

The product of y and 9

9y

400

7 fewer than the sum of 10 and k

(10+k) -7

500

Triple y plus 16

3y + 16

Combining Like Terms

100

3m + 7 - 2m

1m + 7

200

12z + 8 - 3z

9z + 8

300

13x² + 10y + 4 - 5x²

8x² + 10y + 4

400

12.3h + 8.5 - 3.5 +7.7h + 6.5y

20h + 6.5y + 5

500

5.2 + 10.7e + 9f - 3.2 - 6.7e - 4.5f

4e + 4.5f + 2

Distribute

100

3(4x + 3)

12x + 9

200

9(10u + 8)

90u + 72

300

r(6 + 11)

6r + 11r

400

2w(3h + 5)

6hw + 10w

500

8e(9 + 4f + 2g)

72e + 32ef + 16eg

Equivalent Expressions?

100

Use the distributive Property to make a factored expression

36 + 9h

3(12 + 3h) or

9(4 + 1h)

200

Use the D.P. 

24h + 8

2(12h + 4) or

4(6h + 2) or

8(3h + 1)

300

Use Distributive Property to PROVE

12(g + 4)  and 12g + 36

No

400

Use Distributive Property to PROVE

5(3 + 5r + 7)  and 15 +25r +35

Yes

500

Use G.C.F. and D.P.

15z + 17z

z(15 + 17)