Algebra I - Unit 2 - Year 1

Distribution

100

-x(2x+10)

-2x²-10x

200

-d(-3.2d-2)

3.2d²+2d

300

-6.5h-(h-5.9)

-7.5h+5.9

400

(-10x-7y)-(-5x+6y)

-5x-13y

500

Find an expression which represents the difference when (7x+10) is subtracted from (8x+1) in simplest terms.

x-9

Equivalent Expressions

100

z+z+z

3z

200

s+s+s+s+s+s+t+t+t

6s+3t

300

Expand the following: (-2xyz)⁴

-2xyz * -2xyz * -2xyz * -2xyz *

400

Combine like terms: 

-2y³ + 3y - 3y + 7y³ + 1 + 2 - 5

5y³ - 2

500

Condense the following:

a * a * a * a * a * a * b * c * c * c * c *

a⁶b¹c⁴

Computing Expressions

100

(4b)³

64b³

200

(-3xy)⁴

81x⁴y⁴

300

-abc * -abc * -abc * -abc *

a⁴b⁴c⁴

400

Condense & Compute:

5b * 5b * 5b

Condensed: (5b)³

Computed: 125b³

500

(c¹²)⁶

c¹²

Division

100

9x⁵/3x²

3x³

200

2h³/2h²

h or 1h¹

300

9x⁸y⁵ / 3x³y⁵

3x⁵

400

8x⁷y⁸ / 8x²y⁶

x⁵y²

500

8x⁷y³ / 2x⁵y²

4x²y

Mix

100

Compute: 

c * c²

c³

200

(r⁴)(-3r⁴)

-3r⁸

300

2x²y³ / 8x²y²

1/4 y

400

-11xy² (13x²y³)

-143x³y⁵

500

Distribute:

-6x² ( -8x² + 10 )

8x⁴ + 0x³ - 60x²