INTRODUCTION TO ALGEBRA
MODIFIED TRUE or FALSE.
Algebraic expression refers to an expression that is made up of one or more terms.
TRUE
MODIFIED TRUE or FALSE.
Power indicates the number of times the base will be used as a factor.
FALSE (Exponent)
MODIFIED TRUE or FALSE
Literal Coefficient is an algebraic expression whose exponents of the variables are non-negative integers.
FALSE (Polynomial)
Perform the indicated operations of polynomials.
(5x2 - 9x + 4) + (-2x2 + 7x + 1)
3x2 - 2x + 5
What special product in the form (x + y) (x - y) = x2 - y2?
Product of the sum and difference of Two Terms
MODIFIED TRUE or FALSE.
English Phrase is a set of words or a combination of words and numbers that can be written as algebraic expression.
TRUE
In -2n5,what is the base?
-2n
What are the conditions that make an algebraic expression polynomial?
1) No variable in the denominator.
2) No variable under the radical sign.
3) The exponent of the variable is a whole number/non-negative.
Perform the indicated operations of polynomials.
(x2 - 7x + 4) - (x2 + 3x + 2)
-10x + 2
What property will be applied to simplify 2m(50m - 7)?
Distributive Property
What algebraic expression corresponds to "m less than 5"?
5-m
SIMPLIFY
(5)2(-2)2
100
POLYNOMIAL or NOT
100-3
NOT (The exponent is negative or not a whole number)
Perform the indicated operations of polynomials.
(4x + 2) (5x - 3)
20x -2x - 6
Is x2 - 49 a difference of two squares? If yes, what are its factors?
(x+7)(x-7)
What is the formula for the area of the square in terms of its side (s)?
A=s2
SIMPLIFY
3y0 - (3y)0
2
What is the degree of the polynomial x2y2 - 5x2y3?
6 (Sixth degree polynomial)
Perform the indicated operations of polynomials.
(10x2 - 15x + 20)/(5)
2x2 - 3x + 4
What is the greatest common monomial factor (GCMF) of the polynomial 4xy2 - 8x2y?
4xy
You are saving for a branded phone. Your father gives you ₱5,999 to start and you save ₱50 each day. The selling price of the branded phone is ₱15,999.
a) What is the expression gives the amount of money you save after d days?
b) How much money will you have after 100 days?
c) After 180 days, can you buy the branded phone?
d) How many days will you save to buy the branded phone?
a) 50d + 5,999
b) ₱10,999
c) No, because you only have ₱14,999 and still lacking ₱1,000.
d) 200 days
SIMPLIFY
(5n/7m)-2
49m2/25n2
Give what is/are asked.
Given: 7 + 5x2
a) Standard form
b) No. of terms
c) Classification according to the no. of terms
d) Degree
e) Classification according to the degree
a) 5x2 + 7
b) 2 terms
c) Binomial
d) 2 (2nd degree polynomial)
e) Quadratic
Perform the indicated operations of polynomials.
(x2+4x+3)/(x+1)
(x+3)
The area of a rectangle is (t2 - 36)square units. If the width of the rectangle is (t - 6) units, find its length.
(t + 6)