## Algebra 2a practice

**Introduction :**

**Mathematics**is the study of magnitude, structure, space, and modify. Mathematicians search for examples, formulate new inferences, and found truth by accurate deduction from correctly chosen theorems and explanation.

**Algebra 2a**is the division of mathematics regarding the study of the regulations of operations and relations, and the creations and concepts arising from them, including Inequalities, polynomials, system of equations and algebraic structures.

Example problems of algebra 2a:

**Algebra 2a in practice problem 1:**

Solve the following system:

x + y = 16

2x - y = 8

**Solution:**

We can solve x and y by using substitution method.

Given x + y = 16……………. (1)

2x - y = 8……………... (2)

Solve the equation (1) for y,

x+ y= 16

Subtract to the value x on both sides,

y= 16-x ………. (3)

Substitute the value y into the second equation. Then we get,

2x-(16-x) =8

2x-16+x=8

3x-16= 8

Add to the value 16 on both sides.

3x-16+16= 8+16

3x= 24

Divide by the value 3 on both sides.

x=8

Substitute the value of x into the equation (1).

8+y=16

Add the value -8 on both sides.

y= 16-8

y=8

**Answer: x=8 and y=8**

**Algebra 2a in practice problem 2:**

Solve: 9x (6x + 2) = 0

**Solution:**

We can solve the value p by using principle of zero productive.

Given: 9x (6x + 2) = 0

9x=0 and (6x+2) =0 (zero productive law)

Here solve the value of p.

9x=0

x=0

6x+2=0

Subtract to the value 2 on both sides.

6x= -2

Divide by the value 6 on both sides.

p= -2/6

=-1/3

Therefore the solutions are 0 and -1/3

**Answer: 0 and -1/3**

**Algebra 2a in practice problem 3:**

Solve: 5x + 3 > 7

**Solution:**

We can solve the value x by using Addition principle.

Given: 5x + 3 > 7

Add the value -3 on both side of inequality.

That is, 5x + 3 - 3 > 7-3

5x > 4

Divide by the value 5 on both sides,

` x gt4/5`

Therefore the value of x is always greater than `4/5`

**Answer:` x gt 4/5`**

Practice problems of algebra 2a:

**Practice problems:**

- Solve x: x – 7 < 15
- Solve x: 8x( x+5)=0

**Answer key:**

- x <22
- x=0 and x= -5