MODEL AND SOLVE TWO STEP INEQUALITIES

We will be using the following algebra tiles to model and solve two step inequalities.

Example 1 :

Use algebra tiles to model and solve 3n + 2  11.

Solution :

Step 1 :

How can we model the left side of the inequality ?

We find 3n + 2 on the left side of the inequality. So we can use three positive variable tiles and two +1 tiles to model the left side of the inequality.

Step 2 :

How can we model the right side of the inequality ?

We find positive 11 on the right side of the inequality. So we can use eleven +1 tiles to model the right side of the inequality.

Step 3 :

Now use the above mentioned algebra tiles or draw them to model the inequality on the mat.

Step 4 :

Remove two +1 tiles from each side of the mat.

Step 5 :

Divide each side into 3 equal groups.

Step 6 :

The solution is n  3.

Example 2 :

Use algebra tiles to model 2x - 3 <  5.

Solution :

Step 1 :

How can we model the left side of the inequality ?

We find 2x - 3 on the left side of the inequality. So we can use two positive variable tiles and three  -1-tiles to model the left side of the inequality.

Step 2 :

How can we model the right side of the inequality ?

We find positive 5 on the right side of the inequality. So we can use five +1 tiles to model the right side of the inequality.

Step 3 :

Now use the above mentioned algebra tiles or draw them to model the inequality on the mat.

Step 4 :

Add three +1 tiles on each side of the mat.

Step 5 :

Identify and remove zero pairs on each side of the mat.

Step 6 :

Divide each side into 2 equal groups.

Step 7 :

The solution is x < 4.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6