Plot 8/10 On Number Line

• The dot plot represents the number of problems each student attempted on Linear Practice #1, on which students tried to solve as many one-step and two-step linear equations as they could in 10 minutes. This is the first time students are seeing a dot plot in my class, but I post it as is, knowing that this is a very intuitive data representation.
• Rational Numbers on Number Lines Practice showing positive and negative fractions, decimals, and mixed numbers on number lines using this Rational Numbers on Number Lines worksheet! In this sixth-grade math worksheet, students will use their number sense to plot a variety of rational numbers on number lines.
• Number Line Graph Maker Our free tool lets you create number line graphs directly in your browser! Type in where the number line should begin, where it should end and hit the button!

Plot On A Number Line - Displaying top 8 worksheets found for this concept.

Plot 1 1 6 and 2 3 6 on the number line below 8. Plot −1 1 2 and 1 5 8 on the number line below 9. Plot 3/4 and 2 7 8 on the number line below 10. Plot 5/8 and 2 3 8 on the number line below Solutions: Worksheet 10.2 1. Displaying top 8 worksheets found for - Plot On A Number Line. Some of the worksheets for this concept are Plotting fractions on a number line work 7, Plotting rational numbers on a number line work 10, Line plots, Graphing inequalities a, Creating a line plot, Interpreting line plot, Making a line plot, Practice line plots.

Some of the worksheets for this concept are Plotting fractions on a number line work 7, Plotting rational numbers on a number line work 10, Line plots, Graphing inequalities a, Creating a line plot, Interpreting line plot, Making a line plot, Practice line plots 16 1.

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Plot Points On Number Line

Graphing Inequalities on a Number Line

Recall that a number line is a horizontal line that has points which correspond to numbers. The points are spaced according to the value of the number they correspond to; in a number line containing only whole numbers or integers, the points are equally spaced.

We can graph real numbers by representing them as points on the number line. For example, we can graph '2' on the number line:

We can also graph inequalities on the number line. The following graph represents the inequality x≤2. The dark line represents all the numbers that satisfy x≤2. If we pick any number on the dark line and plug it in for x, the inequality will be true.
The following graph represents the inequality x < 2. Note that the open circle on 2 shows that 2 is not a solution to x < 2.
Here are the graphs of x > 2 and x≥2, respectively:
An inequality with a '≠' sign has a solution set which is all the real numbers except a single point (or a number of single points). Thus, to graph an inequality with a '≠' sign, graph the entire line with one point removed. For example, the graph of x≠2 looks like:

Plot And On The Number Line Below

Using the Number Line to Solve Inequalities

We can use the number line to solve inequalities containing <, ≤, >, and ≥. To solve an inequality using the number line, change the inequality sign to an equal sign, and solve the equation. Then graph the point on the number line (graph it as an open circle if the original inequality was '<' or '>'). The number line should now be divided into 2 regions -- one to the left of the point and one to the right of the point

Next, pick a point in each region and 'test' it -- see if it satisfies the inequality when plugged in for the variable. If it satisfies the inequality, draw a dark line from the point into that region, with an arrow at the end. This is the solution set to the equation: if one point in the region satisfies the inequality, the entire region will satisfy the inequality.

Example: -3(x - 2)≤12
Solve -3(x - 2) = 12:

x - 2 = - 4
x = - 2

Graph x = - 2, using a

Plot 8/10 On Number Line Worksheet

filled circle because the original inequality was ≤:
Plug values into the equation -3(x - 2)≤12

Plot The Numbers Number Line

:

Pick a point on the left of -2 (-3, for example):
-3(- 3 - 2)≤12 ?
15≤12 ? No.
Pick a point on the right of -2 (0, for example):
-3(0 - 2)≤12 ?
6≤12 ? Yes.

Draw a dark line from -2

Plot 8/10 On Number Lines

extending to the right, with an arrow at the end:

Plot On A Number Line

Thus, x≥ - 2.