MathV10 – Exam 4 – Review(1.1-3.1)

Topic 1.1

1.    Give the true statements.

                     7  ≠  7

                     4  <  4

                    6   ≤ 12

                 9    ≥   9

                   10   >  12

2.    Find the absolute value;

                      a.   |-6|

                      b.   |3|

                      c.   |.5|

                      d.  |1.9|

                      e.  |-5.18|

3.    Given the sets R and S below, determine whether the following statements are true or false.

                 R  =  {1, 2, 5, 7, 8, 9}            S  =  {1, 2, 5}

                                      a.    S R

                                      b.    R S

                                      c.     2 R

                                      d.     2 S

4.    Find:     |3|²  -  |2|³

 

Topic 1.2

5.    Find the GCF and LCM of   24,   56,   &   96.

 

                                                        GCF_________________

                                                        LCM_________________

6Write in lowest terms    

 

7.    Find:   

 

8.    Find:   

 

Topic 1.3

9.    Find:     54    {3  -  (2  •  3)}

 

 

10Find:    (29  -  5)    2²  +  3  •  4

 

 

Topic 2.1

11.    Simplify:   15(x  -  2)  +  24  -  10x(3  -  x)

 

 

12.    Evaluate:    3x³  -6xy  - 5xz  +  4z  -  1 when  x = 2,  y = -4,  z = 7

 

 

Topic 2.2

13.    Solve for y:    -7  -  3y  =  8

 

 

14.    Solve for z:    2z  +  2 =  5z  -  9

 

 

 

15.    Solve for n:    (5/8)n  +  6  =  (5/8)(16  +  n)

 

 

 

16.    The formula for the area of a triangle is A = (1/2)bh, where A is the area of the triangle, b is the length of its base, and h is its height. Solve this formula for b.

 

 

Topic 2.3

17.    The sum of four consecutive integers is 114.    What are the integers?

 

 

18.    The length of a rectangle is 10 cm. less that five times its width. The perimeter of the rectangle is 52 cm.    What are the length and width of he rectangle?

 

 

Topic 2.4

19.    Solve for x:    3x  +  7  <  13

 

                                                                                Solution set_________________________

                                                                                Graph_____________________________

20.    Solve for y:    6  -  3y  ≥  9

 

                                                                                Solution set________________________

                                                                                Graph____________________________

21:    Solve for x:    15  <  8  -  3x  ≤  20

 

                                                                                Solution set________________________

                                                                                Graph____________________________

Topic 3.1

22.    Plot the following points on the graph given below.

                         a.    P(-4, -2)

                          b.    Q(3, -1)

                                                                      

23. In what quadrant does the following points lie?

                                     a.    (-2, 3) _________________________

                                     b.    (-3, -1) _________________________

24.     Find the rise and the run from  P(-1, -4)  to  Q(-5, -8).

                                                       rise______________________

                                                      run______________________

 

25. Find the rise and the run from   S(-2, 5)  to  T(4, 3).

                                                      rise______________________

                                                      run______________________