Math ALGEBRA UPDATED ACTUAL Questions and CORRECT Answers

Math ALGEBRA UPDATED ACTUAL
Questions and CORRECT Answers
variable - CORRECT ANSWER- ✔✔The letters x and y are often used as variables, although
any letter can be used.


algebraic expression - CORRECT ANSWER- ✔✔An algebraic expression has one or more
variables and can be written as a single term or as a sum of terms. Here are some examples of
algebraic expressions.
2 x , w^3 z + 5 z^2 - z^2 + 6


constant term - CORRECT ANSWER- ✔✔A term that has no variable is called a constant
term.


coefficient - CORRECT ANSWER- ✔✔A number that is multiplied by variables is called the
coefficient of a term. For example, in the expression 2 x 2 + 7 x - 5, 2 is the coefficient of the
term 2 x 2 , 7 is the coefficient of the term 7 x, and -5 is a constant term.


Here are some standard identities that are useful. - CORRECT ANSWER- ✔✔( a + b)^2 = a2
+ 2ab + b 2
( a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
a^2 - b^2 = (a + b)(a - b)


In the algebraic expression x^a , - CORRECT ANSWER- ✔✔where x is raised to the power
a, x is called the base and a is called the exponent.


If x^a = x^b , then a = b. - CORRECT ANSWER- ✔✔This is true for all positive numbers x,
except x = 1, and for all integers a and b.


x^-a =1/x^a - CORRECT ANSWER- ✔✔ex: 4^-3= 1/4^3



(x^a)(x^b) = x^(a+b) - CORRECT ANSWER- ✔✔(3^2)(3^4)=3^6=749

, x^a/x^b=x^(a-b)=1/x^(b-a) - CORRECT ANSWER- ✔✔5^^2= 5



x^0 = 1 - CORRECT ANSWER- ✔✔7^0=1



(x^a)(y^a) = (x*y)^a - CORRECT ANSWER- ✔✔2^3*4^3=8^3 ; (10Z)^3 = 10^3 Z^3= 1000
Z^3


(x/y)^a = (x^a) / (y^a) - CORRECT ANSWER- ✔✔(r/4t)^3 = r^t^3



((x)^a)^b = x^a*b - CORRECT ANSWER- ✔✔(2^2)^3 = 2^6


Linear Equations
A linear equation in two variables, x and y, can be written in the form - CORRECT
ANSWER- ✔✔where a, b, and c are real numbers and a and b are not both zero. For
example, 3 x + 2 y = 8 is a linear equation in two variables.


to solve the system of equations
4 x + 3 y = 13

x + 2 y = 2 - CORRECT ANSWER- ✔✔4 (2 - 2 y ) + 3 y = 13
8 - 8 y + 3 y = 13 => -8 y + 3 y = 5 => -5 y = 5 => y = -1
x + 2 (-1) = 2 = > x = 4


The following rules are important for producing equivalent equations. - CORRECT
ANSWER- ✔✔• When the same constant is added to or subtracted from both sides of an
equation, the equality is preserved and the new equation is equivalent to the original equation.
• When both sides of an equation are multiplied or divided by the same nonzero constant, the
equality is preserved and the new equation is equivalent to the original equation.


simultaneous equations - CORRECT ANSWER- ✔✔


Quadratic Equations