Factoring
Factor the following:
4x+12
4(x+3)
Simplify:
x-5
1
___
x5
Write in Standard Form:
2.4 x 106
2,400,000
Simplify:
2(3x + 12)
6x + 24
A transistor inside a computer has a width of 0.0000056 meter. Write this number in scientific notation.
5.6 x 106
Factor the Following:
3x2 - 33
3(x2 - 11)
Simplify:
(4x)(3x2)
12x3
Write in Scientific Notation:
302,000
3.02 x 105
Simplify:
4x (2x - 4)
8x2 - 16x
Which of the following is most appropriate to describe the amount of time it takes light to travel across a 10-meter-long optical fiber?
A. 1.06 × 10-15 year C. 3.87 × 10-13 day
B. 3.34 × 10-8 second D. 9.28 × 10-12 hour
B. 3.34 x 10-8 Seconds
Factor the Following:
8x2 + 12x
4x(2x + 3)
Simplify:
(3a4)(–6a-3)
-18a
Solve:
(2.0 x 104)(3.0 x 102)
6.0 x 106
Simplify:
–3y(–8y + 6)
24y2 - 18y
Simplify the expression (–2r3s5)5. Show your work.
(-2)5r15s25 or -32r15s25
Factor the Following:
36x3y + 4xy
4xy(9x2 + 1)
Simplify:
(4b2b-6)-2
b8
___
16
Solve:
3.7 x 106 - 8.5 x 105
2.85 x 106
Simplify:
-5x2(3x2 - 1)
-15x4 + 5x2
Callie kicks a soccer ball from the ground. The height of the ball, in feet, above the ground t seconds after the ball is kicked can be represented by the expression 38t – 16t2.
Part A Write the expression in factored form.
Part B What is the height of the soccer ball 1.25 seconds after Callie kicks it?
Part A: 2t(19 - 8t)
Part B: 22.5
Factor the Following:
20a3b2 - 25a2c2
5a2(4ab2 - 5c2)
Simplify:
12a3b5c2
_______
4a4b3c0
3b2c2
____
a
Solve in Scientific Notation:
2.4E-4 + .0004
6.4 x 10-4
Simplify:
4x2y(6x2 + 3y2)
24x4y + 12x2y3
The density of water is about 3.6 × 10-2 pound per cubic inch. Any object with a density that is less than this will float. Objects with a density that is greater than the density of water will sink. Suppose a block of wood has a density of 0.022 pound per cubic inch.
Part A What is the density of water written in standard form?
Part B Will the block sink or float in water?
Density of water: .036 pound per cubic inch
Float since .022<.036