Algebra 2
1.4 Solving Absolute Value Equations
Name: _______________________
Essential Question: How do we solve equations that involve absolute values?
Warm Up: Evaluate the following.
1. −13
2. − 13
3. − −13
4. 13
Vocabulary:
Absolute Value: ____________________________________________________________________________
Empty Set: ________________________________________________________________________________
Extraneous Solution: ________________________________________________________________________
Writing an absolute value equation.
x−a =b
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a = the starting value
b = value it can change in either direction
Examples:
1. Evaluate if f = 4, 6 − 2 f + 2.7
3. Solve. 6 − 4x + 5 = 0
2. Solve and check. y + 3 = 8
4. Solve then check. 8 + y = 2y − 3
5. Solve and check. 2 3x − 6 = 30
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6. The average January temperature in a northern Canada city is 1°F. The actual January temperature
for that city may be about 5°F warmer or colder. Write and solve an equation to find the maximum
and minimum temperatures.
Summarizer: The U. S. Mint produces quarters that weigh about 5.67 grams each. After the quarters are
produced, a machine weighs them. If the quarter weighs 0.02 gram more or less than the desired weight than
the quarter is rejected. Write and solve an equation to find the heaviest and lightest quarters the machine will
approve.