Topic 4

Evaluate Expressions

100

Evaluate the expression 4c - 3 when c = -2

-11

200

Evaluate 5.5r - 8.35s when r = 12 and s = 4

32.6

300

Evaluate 3.6x + 4.5y when x=4 and y=7

42.3

400

Evaluate the expression (1/3)x + 5 when x = -6

3

500

Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pound per month m. 

12 + 0.5m

Simplify Expressions

100

Simplify the expression: 

5x - 2 + 4x + 3

9x + 1

200

Simplify the expression:

-5 + 6.2f + 7 + 1.4f

2 + 7.6f     or     7.6f + 2

300

Simplify the expression: 

-2.6f + 0.3f - 13 - 6 

-2.3f - 19

400

Simplify the expression:

16 + (-5) - (2/5)j - (4/5)j + 6

17 - (6/5)j      or      -(6/5)j + 17      or   -1.2j + 17

500

Simplify the expression:

6h + (-7.3d) - 18 + 5d - 3.1h

2.9h - 2.3d - 18

Add Expressions

100

Add the following expressions

(5.5x + 6)    and     (6.2x - 3)

11.7x + 3

200

Find the sum

(5.4x + 1) + (-4.3x + 5)

1.1x + 6 

300

Find the sum:

(-6 + 7.1d) + (10.3 - 3.2d) 

4.3 + 3.9d

400

Add the following expressions: 

(-2m - 2) + (5x + 8.1m) + (6 + 8.8x) 

6.1m + 4 + 13.8x

500

Find the sum. 

(1.7c + 7) + (8.89x - 3) + (4.6m +8)

1.7c + 8.89x + 4.6m + 12

Distributive Property

100

Use the distributive property:

4(3x - 2)

12x - 8

200

Use the distributive property: 

-2(12m - 8)

-24m + 16

300

Use the distributive property: 

7.9(x-2)

7.9x - 15.8 

400

Use the distributive property: 

y(0.25 + 2)

0.25y + 2y     or     2.25y

500

Expand using the distributive property:

(y + z)2/7

(2/7)y + (2/7)z

Factoring

100

Factor:

45a + 35

5(9a + 7)

200

Factor:

-25a - 30

5(-5a - 6)

300

Factor:

(1/7)a + (4/7)

(1/7)[a + 4]

400

Factor:

0.5x + 1.5y

0.5(x + 3y)

500

Factor:

(1/5)a + (3/5)

(1/5)[a + 3]