2. Mr. Pinto is a Web designer. He is trying to put 4 characters on a page. The space occupied by character 2 takes 5 units more than character 1, character 3 takes 7 units less than the character 2, and character 4 takes the same space as that taken by character 2.
a. Find the total space occupied by all the characters in an algebraic expression.
b. Comment on the kind of factors of the simplified algebraic expression
Solution Preview
a. Find the total space occupied by all the characters in an algebraic expression.
s2 ...
1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize.
a. Express the total value of the three prizes as an algebraic expression.
b. Comment on the ki
Equation is a statement asserting the equality of two expressions; they are constructed from algebraicexpressions. They are separated into left and right sides and joined by an equal sign.
Expression is a group of letters that are used for numbers.
Equation
820 + Y - 820 = 1820 - 820
Expression
A x 12
1. Why is it necessary to study the order of operations and the laws of operations before you start solving equations?
2. Of the three laws, commutative, associative, and distributive, which one is most frequently used in algebra? Why?
3. How does a term differ from a factor?
4. When adding or subtracting expressions,
3. Lisa is coloring her creation. The blue color used is 50% of the green color used, yellow is 5% of the blue color used, and brown is 7% of the amount of green used. She wants to find the total amount of color used by her.
a. Find the total amount of color used by Lisa using an algebraic expression.
b. Comment on the kind of
Please refer to attached file for complete description of problems. Short description of problems is given below
1) Converting Exponents into radicals and vice versa.
2) Simplification of radicals in fraction forms
3) Converting the expressions into exponents with no negative exponents
4) Factorize the expressions
Translate the following into algebraicexpressions. Clearly identify the variables, coefficients, and constants:
a) One fourth of one half of the product of two numbers
b) Two-thirds of the quotient of two numbers
c) The product of 7 and twice n
#2) Following are different algebraicexpressions of the production function. Decide whether each one has constant, increasing, or decreasing returns to scale.
a. Q = 75L0.25 K0.75
b. Q = 75A0.15 B0.40 C0.45
c. Q = 75L0.60 K0.70
d. Q = 100+50L+50K
e. Q = 50L+50K+50LK
f. Q = 50L2 + 50K2
g. Based on the answers for the
Elementary Algebra: Basic Operations with Polynomials)
2. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?
A. -6x2 + 25x + 6
B. 6x2 + 5x + 6
C. 6x2 - 5x + 6
D. 6x2 - 5x - 6
E. 6x2 - 13x - 6
(Elementary Algebra: Substituting Values into Algeb
