This document contains sample math problems involving fractions, decimals, absolute values, and equations including: 1) Converting fractions to decimals and decimals to fractions. For decimals, say the number without the decimal point to get the fraction. 2) Several absolute value equations such as 10 + 8|10 + x|= 74 and |- x - 4|= |4x + 2|. 3) An example of solving an absolute value equation by setting it equal to both positive and negative values of the absolute value.

1. 21

3. Warm-Up/Review:
2. What is one-half of
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ퟏퟔ
?
4.
1. - 5(4x – 2) = -2(3 + 6x)
Mental Math!!
The denominator of a fraction is five more than the numerator.
After 3 is added to both numerator and denominator, the
fraction becomes
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. Find the original fraction
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=
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4. Changing Fractions to Decimals
.11 .85 .08 .1538
Changing Decimals to Fractions
Although you may have to reduce the fraction, the key to
converting decimals is to simply say the decimal without the word
point. You have spoken the fraction equivalent of the decimal.
Write the equivalent fraction, then simplify if possible

5. Absolute Value:
10 + 8|10 + x|= 74
|- x - 4|= |4x + 2|
|10x - 3|= 0

10. Absolute Value Equations
Ex. 2: 4|2 - x| = 16
The two equations are: 1). 4|2 - x| = 16 2). 4|2 - x| = - 16
1). 8 - 4x = 16; - 4x = 8; x = - 2 2). 8 - 4x = - 16; - 4x = -24; x = 6