Review Units 1 and 2 (8)

Evaluating

100

2x - 5   when x=-3

-11

200

2(x+y)   when x=2 and y=-4

-4

300

3x² + 4x    when x=5

95

400

(xy)²+x-y   when x=2 and y=-3

41

500

4(x-y)²+3xy   when x=5 and y=-5

325

Absolute Value

100

|-4|

4

200

|4(5)-34|

14

300

|6(4)|-25

-1

400

2|-5+4(-2)|-6

20

500

-4|3(-2)+5|+7

3

Solving Equations

100

x+5=12

x=7

200

-0.5x=17

-34

300

2x-6=-18

x=-6

400

2x-5=3(x+2)-x

-5=6 no solution

500

5(2x+6)=-4(-5-2x)+3x

x=10

Exponent Rules

100

3xy * -4x²y² * x³y^-1

-12x⁶y²

200

x^-3y⁴z⁰/-4x³y^-6z

y¹⁰/-4x⁶z

300

(2x⁵y⁸z^-5)³

8x¹⁵y²⁴/z¹⁵

400

(2m²)^-1/m²

1/2m⁴

500

(2x)^-4/x^-1 * x

1/16x⁴

Scientific Notation

100

Write the number in scientific notation

4569800000

4.5698 x 10⁹

200

Write the number in standard form

8.543 x 10^-7

0.0000008543

300

(4.657 x 10^-6)(8.6214 x 10⁴)

4.01498 x 10^-23

400

5.609 x 10⁵ / 9.54 x 10^-6

5.8794 x 10¹¹

500

(7.56 x 10⁴)^-2

1.74967 x 10^-10