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Math ALGEBRA Exam Questions and Answers 100% Solved Rated A+
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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...

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  • October 22, 2024
  • 9
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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  • math algebra

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  • Math ALGEBRA
  • Math ALGEBRA

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©JOSHCLAY 2024/2025. YEAR PUBLISHED 2024.
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

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