Math 50 Pre-Algebra

If you are considering taking a lower-level class than Math 50:
- The next level lower is LERN 49 (Math Skills Review).
If you are considering taking a higher-level class than Math 50:
- The next level higher is Math 51 (Elementary Algebra).

Sample of what you should know before taking Math 50:

1. Express as a decimal: $six and one fourth percent$
- - Solution
    
    $six and one fourth percent$
    
    $six point two five percent$
    
    $point zero six two five$
2. Evaluate: $negative five eighths divided by open parentheses three fourths minus three halves close parenthesis quantity squared$
- - Solution
    
    $negative five eighths divided by open parentheses three fourths minus three halves close parenthesis quantity squared$
    
    $negative five eighths divided by open parentheses three fourths minus six fourths close parenthesis quantity squared$
    
    $negative five eighths divided by open parentheses negative three fourths close parenthesis squared$
    
    $negative five eighths divided by nine sixteenths$
    
    $negative five eighths times sixteen ninths$
    
    $negative ten ninths$
3. Evaluate: $negative two times start absolute value six minus eight end absolute value$
- - Solution
    
    $negative two times start absolute value six minus eight end absolute value$
    
    $negative two times start absolute value of negative two end absolute value$
    
    $negative two times positive two$
    
    $negative 4$
4. Evaluate: $open parentheses negative five plus three close parentheses quantity cubed times square root of thirty six$
- - Solution
    
    $open parentheses negative five plus three close parentheses quantity cubed times square root of thirty six$
    
    $open parentheses negative two close parentheses cubed times square root of 36$
    
    $negative 8 times six$
    
    $negative 48$
5. Evaluate: $negative seven plus eight times open bracket negative five plus open parentheses three minus 4 close parentheses close bracket$
- - Solution
    
    $negative seven plus eight times open bracket negative five plus open parentheses three minus 4 close parentheses close bracket$
    
    $negative seven plus eight times open bracket negative five plus open parentheses negative one close parentheses close bracket$
    
    $negative seven plus eight times open bracket negative 6 close bracket$
    
    $negative seven minus forty eight$
    
    $negative 55$
Sample of what you will learn in Math 50:

1. Simplify: $open parentheses four x cubed minus 9 x minus 17 close parentheses minus open parentheses 18 x cubed plus 6 x squared minus 12 close parentheses$
- - Solution
    
    $open parentheses four x cubed minus 9 x minus 17 close parentheses minus open parentheses 18 x cubed plus 6 x squared minus 12 close parentheses$
    
    $4 x cubed minus 9 x minus 17 minus 18 x cubed minus 6 x squared plus 12$
    
    $Negative 14 x cubed minus 6 x squared minus 9 x minus 5$
2. Simplify: $open parenthesis negative five eighths x squared close parenthesis times open parenthesis negative four sevenths x cubed close parenthesis$
- - Solution
    
    $open parenthesis negative five eighths x squared close parenthesis times open parenthesis negative four sevenths x cubed close parenthesis$
    
    $positive five eights times 4 sevenths x squared x cubed$
    
    $5 fourteenths x to the fifth$
3. Solve: $one eighth plus x equals 5 sixths x minus 2 thirds$
- - Solution
    
    $one eighth plus x equals 5 sixths x minus 2 thirds$
    
    $twenty four over one times one eighth plus 24 over 1 x equals 24 over 1 times 5 sixths x minus 24 over 1 times two thirds$
    
    $3 plus 24 x equals 20 x minus 16$
    
    $3 plus 24 x minus 20 x equals 20 x minus 20 x minus 16$
    
    $3 plus 4 x equals negative 16$
    
    $3 minus 3 plus 4 x equals negative 16 minus 3$
    
    $4 x equals negative 19$
    
    $4 x over 4 equals negative 19 over 4$
    
    $X equals negative 19 over 4$
4. The sum of seven times a number and 2 is 11 decreased by twice the number. Find the number.
- - Solution
    
    $7 x plus 2 equals 11 minus 2 x$
    
    $7 x plus 2 x plus 2 equals 11 minus 2 x plus 2 x$
    
    $9 x plus 2 equals 11$
    
    $9 x plus 2 minus 2 equals 11 minus 2$
    
    $9 x equals 9$
    
    $9 x over 9 equals 9 over 9$
    
    $x equals 1$
5. Find a simplified expression for the area and perimeter of the following shape.

$Rectangle with height x plus 1 and base 2 x plus 3$
- - Solution
    
    $Perimeter equals open parenthesis x plus 1 close parenthesis plus open parenthesis x plus 1 close parenthesis plus open parenthesis 2 x plus 3 close parenthesis plus open parenthesis 2 x plus 3 close parenthesis$
    
    $Perimeter equals x plus 1 plus x plus 1 plus 2 x plus 3 plus 2 x plus 3$
    
    $Perimeter equals 6 x plus 8$
    
    $Area equals open parenthesis x plus 1 close parenthesis times open parenthesis 2 x plus 3 close parenthesis$
    
    $Area equals 2 x squared plus 3 x plus 2 x plus 3$
    
    $Area equals 2 x squared plus 5 x plus 3$

Math 50 Pre-Algebra

If you are considering taking a lower-level class than Math 50:

If you are considering taking a higher-level class than Math 50:

Sample of what you should know before taking Math 50:

Sample of what you will learn in Math 50: