Algebraic Expressions

Adding Algebraic Terms

100

Simplify the expression: 0.2x + 0.8x

x or 1x

200

Simplify the expression: 0.6m + 0.8m

1.4m

300

Simplify the expression: 3/7p + 2/7p

5/7p

400

Simplify the expression: 4/5y + 1/3y

17/15y or 1 2/15y

500

Which of the following expressions has a greater value if y is a positive number?

1.4y + 2/5y   or   1/3y + 3/4y

1.4y + 2/5y

Subtracting Algebraic Terms

100

Simplify the expression: 1.9h - 0.9h

h or 1h

200

Simplify the expression: 7/8x - 5/8x

1/4x

300

Simplify the expression: 5/6m - 2/3m 

1/6m

400

Simplify the expression: 7/4d - 3/5d

23/20d or 1 3/20d

500

Find the difference in the areas based on the information given.

Rectangle 1: Length: 4.3cm   Width: 2.1cm

Rectangle 2: Length: 1.9cm   Width: 0.8cm

7.51cm²

Simplifying Algebraic Expressions

100

Simplify the expression: 7/8x - 1/8x - 5

3/4x - 5

200

Simplify the expression: 1/2a + 2/3a - 1/6a

a or 1a

300

Simplify the expression: 8y + 4 -6y

2y + 4

400

Simplify the expression: 2.5x + 1.8z + 1.6x - 0.9z

4.1x + 0.9z

500

Find the perimeter given the side lengths of a rectangle:

Length: 5/2x m

Width: 3/2x m

8x m

Expanding Algebraic Expressions

100

Expand the expression: 1.2(0.3x - 1.4)

0.36x - 1.68

200

Expand the expression: -1/2(6x - 1/3)

-3x + 1/6

300

Expand and simplify the expression: 0.5(y+2) - 0.3y

0.2y + 1

400

Expand and simplify: -7(y + 2t) - 3(y-t)

-10y - 11t

500

3(3q - p) - (q - 6p)

8q + 3p

Factoring Algebraic Expressions

100

Factor the expression: 4x - 16

4(x - 4)

200

Factor the expression: 9h - 45f

9(h - 5f)

300

Factor the expression: -4y - 11

-(4y + 11)

400

Factor the expression: 24g - 12h - 36

12(2g - h - 3)

500

Factor the expression to find the length:

Area: (18a - 45b) units²  

Width: 9 units

(2a - 5b) units