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Math ALGEBRA Exam Questions and
Answers 100% Solved Rated A+
variable - ✔✔The letters x and y are often used as variables, although any
letter can be used.
algebraic expression - ✔✔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 - ✔✔A term that has no variable is called a constant term.
coefficient - ✔✔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. - ✔✔( 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)
, ©JOSHCLAY 2024/2025. YEAR PUBLISHED 2024.
In the algebraic expression x^a , - ✔✔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. - ✔✔This is true for all positive numbers x, except
x = 1, and for all integers a and b.
x^-a =1/x^a - ✔✔ex: 4^-3= 1/4^3
(x^a)(x^b) = x^(a+b) - ✔✔(3^2)(3^4)=3^6=749
x^a/x^b=x^(a-b)=1/x^(b-a) - ✔✔5^^2= 5
x^0 = 1 - ✔✔7^0=1
(x^a)(y^a) = (x*y)^a - ✔✔2^3*4^3=8^3 ; (10Z)^3 = 10^3 Z^3= 1000 Z^3
(x/y)^a = (x^a) / (y^a) - ✔✔(r/4t)^3 = r^t^3
((x)^a)^b = x^a*b - ✔✔(2^2)^3 = 2^6
Linear Equations
A linear equation in two variables, x and y, can be written in the form -
✔✔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 - ✔✔4 (2 - 2 y ) + 3 y = 13
Math ALGEBRA Exam Questions and
Answers 100% Solved Rated A+
variable - ✔✔The letters x and y are often used as variables, although any
letter can be used.
algebraic expression - ✔✔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 - ✔✔A term that has no variable is called a constant term.
coefficient - ✔✔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. - ✔✔( 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)
, ©JOSHCLAY 2024/2025. YEAR PUBLISHED 2024.
In the algebraic expression x^a , - ✔✔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. - ✔✔This is true for all positive numbers x, except
x = 1, and for all integers a and b.
x^-a =1/x^a - ✔✔ex: 4^-3= 1/4^3
(x^a)(x^b) = x^(a+b) - ✔✔(3^2)(3^4)=3^6=749
x^a/x^b=x^(a-b)=1/x^(b-a) - ✔✔5^^2= 5
x^0 = 1 - ✔✔7^0=1
(x^a)(y^a) = (x*y)^a - ✔✔2^3*4^3=8^3 ; (10Z)^3 = 10^3 Z^3= 1000 Z^3
(x/y)^a = (x^a) / (y^a) - ✔✔(r/4t)^3 = r^t^3
((x)^a)^b = x^a*b - ✔✔(2^2)^3 = 2^6
Linear Equations
A linear equation in two variables, x and y, can be written in the form -
✔✔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 - ✔✔4 (2 - 2 y ) + 3 y = 13
