Absolute Value Equations
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
---|---|---|---|---|---|
Solve: |p|=2 | Since 2 is positive, |p|=2 is equivalent to p=2 or p=-2. To check, let p=2 and then p=-2 in the original equation.
<b>|p|=2 = |2|=2 = 2=2</b> True
<b>|p|=2 = |-2|=2 = 2=2</b> True
🗑
|
||||
Solve: |5w+3|=7 | Think of the expression 5w+3 as X in the absolute value property. This would make X=7 or X=-7. Substitute X with 5w+3, then we have
<b>5w+3=7 = 5w=4 = w=4/5</b> or
<b>5w+3=-7 = 5w=-10 = w=-2</b>
🗑
|
||||
Solve: |x/2 -1|=11 | <b>x/2-1=11 = 2(x/2-1)=2(11) = x-2=22 = x=24</b> or <b> x/2-1=-11 = 2(x/2-1)=2(-11) = x-2=-22 = x=-20</b>
🗑
|
||||
Solve: |2x|+5=7 | Isolate the absolute value expression alone on one side of the equation, begin by subtracting 5 from both sides. Then apply the absolute value property. <b>|2x|+5=7 = |2x|=2</b> THEN <b>2x=2 = x=1</b> or <b>2x=-2 = x=-1</b>
🗑
|
||||
Solve: |y|=0 | Look for all numbers whose distance from 0 is zero units. The only number is 0. <b>The solution is 0</b>
🗑
|
||||
Solve: |x|=-5 | <b>There is no solution.</b> The absolute value of a number is never negative. I hope you did not try too hard.
🗑
|
||||
Given two absolute value expressions, when are the absolute values of two expression equal? | Two absolute value expressions are equal when the expressions inside the absolute value bars are <b>equal to</b> or are <b>opposites</b> of each other.
Example <b>|2|=|2|</b> or <b>|-2|=|-2|</b> or <b>|-2|=|2|</b> or <b>|2|=|-2|</b>
🗑
|
||||
Solve: |3x+2|=|5x-8| | <b>3x+2=5x-8 = -2x+2=-8 = -2x=-10 = x=5</b> or <b>3x+2=-(5x-8) = 3x+2=-5x+8 = 8x+2=8 = 8x=6 = x=3/4<b>
🗑
|
||||
Solve: |x-3|=|5-x| | <b>x-3=5-x = 2x-3=5 = 2x=8 = x=4</b> or <b>x-3=-(5-x) = x-3=-5+x = x-3-x=-5+x-x = -3=-5 FALSE</b>
When an equation simplifies to a false statement, the equation has no solution. Thus, the only solution for the original absolute value equation is <b>4</b
🗑
|
||||
Define the absolute value of variable x and its distance from zero if |x|=3 | All numbers whose distance from 0 is 3 units. Only two numbers are 3 units away from 0. <b>3</b> and <b>-3</b>
🗑
|
||||
How do you type absolute value brackets? Example <i>|</i><b>x</b><i>|</i> | Hold the <b>SHIFT</b> key and press <b>FORWARD SLASH<b>
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
1588162190
Popular Math sets