Download DVM 0071 Elementary Algebra Review of Module 5

DVM 0071 Elementary Algebra
Review of Module 5 Objectives:
Mastering Polynomials & Integer Exponents
5.1 Simplify basic algebraic expressions that involve using the distributive
property.
Simplify the following expressions
5.2
a)
3a – 5(b – 2)
b)
(3k + 1) – (4 – k)
c)
-4x(3x – 7y2 + 4)
d)
-7.1(3r +7) + 3.5(10r + 10)
Evaluate algebraic expressions, given the values of the variables.
a)
5x2 -5x + 4y
for x = ¾ and y = -1.5
b)
(3x – 2)2 + 1
for x = -4
c)
1
h(b1 + b2)
2
when b1=2, b2=4, and h=8
5.3 Find square roots (exact, rounded using a calculator, and estimate without a
calculator).
a) Estimate the value of
b) Find the value of
c) Find the value of
to one decimal place without a calculator
without a calculator.
rounded to thousandths.
Module 5 Objectives: DVM 0071 Mastering Polynomials & Integer Exponents
5.4 Apply the rules of exponents to simplify expressions involving integer
exponents.
a)
Simplify: (4x)3 (2x2)4
x2
y3
b) Simplify:
4
x 3y 4
c) Simplify:
z 5
d) Simplify:
x x2 x3
y y y2
e) Simplify: (2x)0
f) Simplify: (2x23y3)2
g) Simplify: [(a)-6]-3
h) Simplify: ( x)2
5.5 Apply the basic operations to polynomials (monomial division only).
a) Add: 6x 4 2x 3
7x 2
b) Subtract: 3x 2
4x
c) Multiply: x 2
2x
5 and
7 from 2x 2
3 by 4x 3
d) Multiply, using FOIL:
3x 4
9x
4x 2 11
7
7x
7a 3b 5a
Review of Module 5 Objectives: DVM 0071
2x 3
5b
2
Module 5 Objectives: DVM 0071 Mastering Polynomials & Integer Exponents
e) Expand the following: 3y
f) Multiply the binomials: 3p
g) Expand the following: 4a
2
4z
4 3p
b
4
3
h) Divide and Simplify: (16x4 – 8x2 + 12x)/(-3x8y3z)
5.6 Convert numbers between scientific and standard notation. Solve application
problems in scientific notation.
1)
2)
Write the numbers in scientific notation or standard form.
a)
295,060,000
write in scientific notation
b)
-9.105×10-7
write in standard form
c)
(5×103)(2.3×10-7)
write in standard form
Use Scientific Notation to solve applied problems
a) Light travels 300,000,000 meters per second. A light year is the
distance that light travels in one year. Use scientific notation to
express the number of meters traveled in one light year.
b) If E= Energy emitted by an oscillation and V=frequency of
oscillation, then E=kV where k Plank’s constant 6.626×10-24J. Find E
if V= 1.25 ×1015 in J (Joules).
Review of Module 5 Objectives: DVM 0071
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