Math 8 Final Eam Review(answers) Solve the given equations.. 8.. 9.. 9 9 8 8.. 8 8 all real numbers 8. 9. all real numbers no solution 8 8 9 9 9
Solve the following inequalities. Graph our solution on a number line... 9. 9 9.. 8. 8 9. or. or or or 9 or Use equations and algebraic methods to find solutions of the following problems. 8. Five minus times a number is. What is the number?
9. Find three consecutive odd integers whose sum is. 9 9,,. A inch board is cut into three pieces. The second piece is one-half as long as the first piece. The third piece is inches longer than the second piece. How long is each piece? 8 8",9",". The perimeter of a rectangle is feet. The length is feet more than times the width. What are the dimensions of the rectangle? L is the length; W is the width. LW LW W W W W 8W 8W W ' L '
. Michael has $.9 in dimes and quarters. He has a total of 9 coins. How man of each tpe of coin does he have? D is the number of dimes; Q is the number of quarters. DQ9 DQ9 9 Q Q 9 9 Q Q 9 Q 9 9 Q Q D. Jeffre has $. in nickels and quarters. The number of quarters is more than times the number of nickels. How man of each tpe of coin does he have? N is the number of nickels; Q is the number of quarters. N Q QN N N N N N N N Q
. Melissa has $ in $ bills, $ bills, and $ bills. The number of $ bills is times the number of $ bills. The number of $ bills is more than the number of $ bills. How man of each tpe of bill does she have? O is the number of ones; F is the number of fives; T is the number of tens. O F T O F T F F F F 8F F 8F 8F 8 F O T Using the laws of eponents, simplif the following epressions. Write our answers with positive eponents. Assume that all variables represent non-zero numbers.. 9. 9 8 9.... 8 8.. 9
. 8 9. 9. 9 8. 8 8 8 8 8 Perform the indicated operations, and simplif all answers. 8. 8. 9. 8 8 8 8 8. 8. 8 8 8 8 8... 9 8. 8 9
z z z. z 8. z z z z z z 8 z z z. 8 8 8 8 8 9 8 9 8 8 Completel factor the following polnomials. 9.. 8.. 9 9 9... 9. 8 9
. 8. 9.. 8. 8.. 8 9 Solve the given equations...,, 9.,, 8 8,,. 8. 8,,
9.,,,, Reduce the following rational epressions to lowest terms... 8. Perform the indicated operations, and reduce the answers to lowest terms. 8 9... 8. 8. 8. 9 9 9
9. 8 8. 9 8. 9 9 8. Given the following linear equations, complete the table of solution pairs. 8. 8. 9
8. Graph the solutions of the following linear equations. Indicate the intercept(s). 8. 8. 9 88. 89.
9. 9. 9. 9.
9. Find the slope of the line that passes through the given pair of points.,,, 9.,,, 9.,,, 9. 98.,,, m m m m undefined Find the slope and -intercept for the following linear equations. 99... m, b m, b m, b... vertical line The slope is undefined, m, b m, b and there is no -intercept.
Find an equation for line described. possible. Write our answer in slope-intercept form, if. slope is and -intercept is. passes through, with slope 8. passes through, with slope 8. passes through, with undefined slope vertical line 9. passes through, and,. passes through, and, m m. passes through, and,. passes through, and, m m undefined vertical line
. parallel to the line with equation and passes through,. perpendicular to the line with equation and passes through, Determine the solutions of the following linear sstems of equations. If there are no solutions, write inconsistent. If there are infinitel man solutions, write dependent.. 8 8 8. infinitel man solutions dependent. 9.. 8 8 8.
. 9 8. no solution inconsistent 8. 8 8 89 Solve the following equations...,. 8 8