Review for MA098
                                                                Equations & Inequalities
          Solve for the indicated variable.
                   1) V = 1Bh  for h                                                                                            1)
                           3
          Answer Yes or No.
                   2) Is 12 a solution to x - 5 = 1x + 1?                                                                       2)
                                                   2
          Translate the graph to an inequality using the variable x.
                   3)                                                                                                           3)
          Find the value of the variable that satisfies the equation.
                   4) 21  1x  2x                                                                                                4)
                         -    =
          Translate the English statement into an inequality.
                   5) The speed of the bike is more than 7 mph. (Use the variable s for the speed.)                             5)
          Solve the problem using a known formula.
                   6) A contestant in a 25-mile race finished in 7 hours. What was her average rate during the                  6)
                      race? (Round to the nearest tenth, if necessary.)
          Provide an appropriate response.
                      Solve for b.   A    1h(a   b)
                   7)                  = 2      +                                                                               7)
          Solve for the variable.
                   8) 3(x   6)   4(x   7)                                                                                       8)
                          +    =     -
          Solve for x. Be sure to reduce your answer. Check your solution.
                   9) -5x = -30                                                                                                 9)
          Find the value of the variable that satisfies the equation.
                  10) 6x + 4 = -2 + 2x                                                                                          10)
          Solve.
                      1(x   6)    1(x   8)
                  11) 5    +    = 6    +                                                                                        11)
          Solve the inequality.
                  12) 12x   14   2(5x   16)                                                                                     12)
                          -    K       -
                                                                                1
          Solve for the indicated variable.
                      P   S    S    S   for S
                  13)   = 1+ 2+ 3            3                                                                                   13)
          Answer Yes or No.
                      Is 1 a solution to 1 (x   6)    1x  8?
                  14)                     5   +    = 7 + 7                                                                       14)
          Solve for the variable.
                  15) 2(2x   3)    3(x   5)                                                                                      15)
                            -   =      +
          Solve the inequality. Graph the results.
                  16) 9 - 2x - 11L -3x + 8                                                                                       16)
          Provide an appropriate response.
                  17) Solve the formula A = LW for L. Use the result to find the room's length if the width of a                 17)
                      room is 6 feet, and the area of the room is 84 square feet.
          Find the value of the variable that satisfies the equation.
                  18) 1x - 1 = -4                                                                                                18)
                      5     5
                  19) -7x + x = -54                                                                                              19)
          Translate the English statement into an inequality.
                  20) The rocket must reach a speed of at least 942 mph. (Use the variable V for speed.)                         20)
          Solve the inequality.
                  21) 0.1(1.1  x)   1.8    3.7(x   0.3)   (Round to two decimal places if necessary)                             21)
                              -   +     >        -
          Solve for x. Check your answers.
                  22) x   15   5                                                                                                 22)
                        -    =
          Answer Yes or No.
                      Is  1 a solution to 1(x   6)     1x  8?
                  23)    -                 5    +   = 7 + 7                                                                      23)
          Solve the inequality. Graph the results.
                      x   6   13
                  24)   +   <                                                                                                    24)
          Find the value of the variable that satisfies the equation.
                  25) 14     8x   6                                                                                              25)
                      -   =     -
                                                                                 2
          Solve for x. Be sure to reduce your answer. Check your solution.
                 26) -x = -12                                                                                                  26)
          Solve the inequality. Graph the results.
                 27) 5x + 3 K 4x - 9                                                                                           27)
          Solve for x. Check your answers.
                 28) 10  15  x   2                                                                                             28)
                         -    = +
          Find the value of the variable that satisfies the equation.
                 29) 1x - 5 = 1                                                                                                29)
                      7
          Solve.
                 30) 4(x   5)    4x   20                                                                                       30)
                          +    =    +
          Solve for the variable.
                 31) 4(y   3)    5(y   5)                                                                                      31)
                          +    =     -
          Determine if the given solution is correct. If it is not, find the solution.
                 32) Is  3 the solution to x  4     6  5?                                                                      32)
                        -                     +   = -
          Solve.
                 33) 12(x   2)    6(2x   2)   12                                                                               33)
                           -    =      -    -
          Find the value of x that satisfies the equation.
                      x   1    5
                 34)   - 6 = 12                                                                                                34)
                 35) 7.5  x    22                                                                                              35)
                         +   =
          Solve.
                      The formula for the volume of a cone is V        1Bh. If the Volume, V, is 36 cubic centimeters
                 36)                                                = 3                                                        36)
                      and the height, h, is 9 centimeters, find the base, B, of this cone.
          Replace the ? by < or >.
                 37) -3 ? - 6                                                                                                  37)
          Find the value of x that satisfies the equation.
                      x   1    1
                 38)   + 5 = 2                                                                                                 38)
                                                                               3
         Solve.
                39) 0.1(50)   0.7x   0.3(50  x)                                                                      39)
                    -        +     =        +
         Find the value of the variable that satisfies the equation.
                40) 9x + 4 = 76                                                                                      40)
         Solve for the variable.
                41) 5(x   8)  6(x   5)                                                                               41)
                        +   =     -
         Solve for x. Check your answers.
                42) x   1  13                                                                                        42)
                      -  =
         Find the value of the variable that satisfies the equation.
                43) -8x + 6 = -2 - 2x                                                                                43)
         Solve for the indicated variable.
                                   2
                    S   2Δrh   2Δr   for h
                44)   =       +                                                                                      44)
         Solve for x. Be sure to reduce your answer. Check your solution.
                45) - 1 x = 0                                                                                        45)
                      19
         Solve for x. Check your answers.
                46) 2  12  9    6  x   10                                                                            46)
                      -   +   = + -
         Solve.
                47) 2x - 1x =4                                                                                       47)
                    5     3
                    The formula for the perimeter of a rectangle is P   2L   2W. If the length, L, is 2 meters and
                48)                                                   =    +                                         48)
                    the width, W, is 3 meters find the perimeter, P, of this rectangle.
         Find the value of x that satisfies the equation.
                    1    1   x   1
                49) 3 - 2 =    - 4                                                                                   49)
         Graph the inequality on the number line.
                    x    4
                50)   L-                                                                                             50)
                                                                         4