Quick Math Answers for Algebra

Introduction to quick math answers for algebra:

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. The part of algebra called elementary algebra is often part of the curriculum in secondary education and introduces the concept of variables representing numbers. (Source: From Wikipedia). In this article, we are going to see some of the math algebra problems quick help.

Quick Math Algebra Problems:

Example problem 1:

Simplify the expression: 14b + 6 - 21a + 15b + 13 + 15a

Solution:

14b + 6 - 21a + 15b + 13 + 15a

Combine the like terms in the given expression

-21a + 15a + 14b + 15b + 6 + 13

Add the like terms in the expression

(-21 + 15)a + (14 + 15)b + (6 + 13)

-6a + 29b + 19

So, the answer is -6a + 29b + 19.

Example problem 2:

Solve for the value of c: 9c - 2 = 79

Solution:

9c - 2 = 79

Add 2 on both sides of the equation

9c - 2 + 2 = 79 + 2

9c = 81

Divide by 9 on both sides of the equation

`(9c) / 9 = 81 / 9`

c = 9

So, c = 9 is the solution of the given equation.

Few more Math Algebra Problems Quickly:

Example problem 3:

Find the x and y intercept of the equation: 12x + 6y = 48.

Solution:

12x + 6y = 48

To find the x intercept value, plug y = 0 in the given equation

12x + 6(0) = 48

12x = 48

x = 4

So, the x intercept is (4, 0).

To find the y intercept value, plug x = 0 in the given equation

12(0) + 6y = 48

6y = 48

y = 8

So, the y intercept is (0, 8).

Example problem 4:

Solve the inequality: 20y - 43 < 17

Solution:

20y – 43 < 17

Add 43 on both side of the inequality

20y- 43 + 43 < 17 + 43

20y < 60

Divide by 20 on both sides of the equation

`(20y) / 20 < 60 / 20`

y < 3

So, the solution is (-infinity, 3).

Practice Math Algebra Problems Free Help Quickly:

1)      Simplify the expression: -15x + 16y + 13x - 12y. (Answer: -2x + 4y)

2)      Solve for the variable z:  10z + 34 = 24 + 8z (Answer: z = -5).

3)      Solve for the variable x:  13x - 68 = 10 (Answer: x = 6).