## Algebra 2 chapter tests

**Introduction:**

In general, the term algebra defines the constants and variables. The applications of algebra are widely used in day to day life. In general, algebra is classified into algebra 1, algebra 2 and college algebra. Algebra 2 is advanced topic when compared to algebra 1. Algebra 2 chapter involves, multi step equation solving, three variable equation solving, polynomial functions solving and graphing etc. Algebra 2 chapter tests question are easy to solve. When the concept of algebra 2 chapter is understood very well, then it is very easy to solve exercise problems and tests problems involving it. In this chapter we are going to see about algebra 2 chapter tests.

Algebra 2 chapter tests examples:

**Algebra 2 chapter tests example 1:**

Simplify (27x6)5/3

**Solution:**

We need to simplify the given rational exponents,

= 275/3 x6*5/3

On simplifying this, we get,

= (33)5/3 (x2*5)

= 35 (x10)

= 243x10

**The answer is 243x10.**

**Algebra 2 chapter tests example 2:**

Simplify (64x3)1/3

**Solution:**

We need to simplify the given rational exponents,

= (26)1/3 x3*1/3

On simplifying this, we get,

= 26/3 x3/3

= 22 x

= 4x

**The answer is 4x.**

**Algebra 2 chapter tests example 3:**

Solve: 3x + 2y > 6

**Solution:**

Arrange the given inequality in slope intercept form,

3x + 2y = 6

Subtract 3x on both sides,

3x + 2y – 3x = 6 – 3x

2y = -3x + 6

Divide 2 on both sides,

2y/2 = -3x/3 + 6/3

y = -x + 2

Put y = 0

0 = -x + 2

Subtract 2 on both sides,

0 – 2 = -x + 2 – 2

-2 = -x

x = 2

Put x = 0, to find x.

y = 0 + 2

y = 2

**The values are x= 2, y =2.**

Algebra 2 chapter tests practice problems:

**Example 1:**

Simplify (9y4)0.5

**Answer:**3y2

**Example 2:**

Simplify (216n4)1/3

**Answer:**6n3

**Example 3:**

Solve:

-x – 5y – 5z = 2

4x – 5y + 4z = 19

x + 5y – z = -20

**Answer:**(-2, -3, 3)

**Example 4:**

Solve

-4x – 5y – z = 18

-2x -5y – 2z = 12

-2x + 5y + 2z = 4

**Answer:**(-4,0,-2)