Algebra IC P by x2P21r

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Algebra I CP                                                            Name:______________________________
Midterm Review
Date:_______________________________

Do Not write on this paper!!! Do your work on a separate sheet.

1) Evaluate the expression: 8x + 14, when x = 7
a) 29                 b) 70              c)            39               d)         60                            e)       80

1
2) Evaluate the expression:        xy  7 ; when x = 15 and y = 2
6
5
a)   23                  b)   2                  c)     -2             d)         -30                           e)
3

4 y  2t
3) Evaluate the expression:               ;   t = 6, x = 3, y = 4, and z = 5
y  2t
1                            1
a)   4                   b)   -4                 c)                    d)                                      e)       0
4                            4

4) Evaluate the expression:     4|x| - 2|z|; when x = -8 and z = 5

a)   -42                 b)   42                 c)    -22              d)              22                      e)       150

5) Solve:   6x – 2 = 22;      x {0, 2, 4, 6, 8}
a)                      b) 2                    c)     4              d)         8                             e)       {4,6}

6) Solve:   x( x  3)  0 ;    x  {-6, -3, 0, 3, 6}
a)   0                   b)   3                  c)    {3, -3}          d)         -3                            e)          {0, -3}

7) Translate from words into mathematical symbols: Eleven is greater than or equal to a third of a number.
1                                     1                       1                      1
a) 11  x            b) 11  3x          c) 11  x             d) 11 > x              e) 11 < x
3                                     3                       3                      3

8) Solve:   If 4 is subtracted from eight times a number, the result is 52. What is the number?
a)   6                  b) 7                c) 8                    d) 9                e)                               10

A    B     C        D   E   F   G   H   I    J   K

9) Find the coordinates of the point halfway between A and H.                   -3   -2    -1       0   1   2   3   4   5    6   7

a) -1.5                b) -0.5              c) 0                        d) 0.5                                  e)       1.5
3
10) Write the following numbers in INCREASING order:                    -8, -3.2, -5, 2, 0,      , 1.3
4
3                                            3                               3
a) -8, -3.2, -5, 2, 0,    , 1.3             b) -8, -5, -3.2,          , 0, 1.3, 2        c)    0,      , 1.3, 2, -3.2, -5, -8
4                                            4                                4
3                                     3
d) -8, -5, -3.2, 0,    , 1.3, 2             e)   -8, -5,      , -3.2, 0, 1.3, 2
4                                      4

11) Marsha is 2 years older than Jan, and 8 years older than Cindy. Together, their ages total 35. How old is
Cindy?
a) 15 yrs.             b) 7 yrs.            c) 13 yrs.           d) 25 yrs.               e) 8 yrs.

12) What property matches the following statement: 3  (8  4) = (3  8)  4
a) Commutative         b) Associative c) Inverse                    d)                   Zero Product         e)    Identity

13) Evaluate: 6 – 18
a) 12                         b)   24               c)      -24                  d)       -12                e)    -108

14) Evaluate:       (-24) + (-5) + 7 + (-3) + 14 + 6
a) 5                        b) 1                    c)      -1                   d)      -11                  e)     -5

15) Evaluate: (-6) + (-11) – 7 – (-2) + 9
a) -17               b) 17                          c)      21                   d)       -13                e)    -35

 3  5 
16) Simplify:       72    
 4  6 
a)    -30.                   b)   45               c)      30                   d)       -45                e)    -90

17) Simplify: 8 – 4(2x – 5)
a) 8x – 20           b)            8x + 20          c)      8x – 28             d)      - 8x – 28          e)      - 8x + 28

3
4
18) Evaluate:         3
100

9                           400                                                                            9
a)                           b)                    c)      25                   d)       -25                e)
400                           9                                                                              25

3
19) Simplify:     5(6 x  2)  (12 x  16)
4
a)      39x – 2        b) 33x + 6                 c)      39x + 22             d)      33x + 14             e)    39x - 14

20) Simplify: 3(x – 5) – (3x + 4)
a) 6x - 19           b) 6x – 11                     c)      -11                  d)       -19                e)    6x - 1
2
21) Solve:        x  16
7
32                         32                    9
a)    x = 56              b)       x = -56     c)    x                d)    x            e)    x
7                          7                     7

22) Solve: 5|x| + 2 = 12
a) x = 2                   b)    x = -2          c)       x = {-2, 2}   d)    x ={-5,5}      e)    x = -5

23) Solve:      4( x  8)  2  6 x  10
a)    x = 12              b)    x = 24          c)    x = -24           d)       x = -12    e)    x=0

4x
24) Solve:      4       20
3
a)    x=8                 b)    x = -8          c)       x = 18        d)    x = -18        e)    x = 16

25) Solve: 4(x – 9) = 2x + 2(x – 18)
a) x = 0             b) x = 1                    c)    x=4               d)                  e)    identity

26) Find three consecutive even integers whose sum is 156.
a) 4,6,8              b) 20,22,24          c) 40,42,44                  d)    48,50,52      e)    50,52,54

27) 1.2 more than 2.4 times a number is –3.6. What is the number?
a) 4.8                b) 2                 c) -2                       d)    1              e)    -1

28) I have 3 more quarters than dimes. If the coins are worth \$3.90, then how many quarters do I have?
a) 9 quarters         b) 3 quarters          c) 6 quarters          d) 12 quarters e) 4 quarters

29) An outdoor thermometer read -5F in the morning, and 23F in the afternoon. How many degrees did the
temperature rise during the day?
a) 18F                b) 28F           c) -18F               d) -23F           e) 27F

30) Classify the following expression: 3x4 – 2x2 + 1
a) constant           b) trinomial        c)         binomial          d)    decanomial     e) monomial

31) Find the degree of the monomial:          5x3y7z
a) 5                  b) 3                      c)    7                 d)    10             e)        11

32) Simplify: 2 + 92
a) 121                     b)    112             c)    20                d)       83         e)    22

33) Simplify:     (-8x4y3)(7xy5)
a)   -1x5y8                 b)   -15x5y8           c)       -56x5y8       d)    -56x4y15           e)    -15x4y15

34) Simplify: (-7x5yz3)2
a) -14x10y2z6                b)   -49x10y2z6        c)       49x10y2z6     d)    49x7y3z5           e)    -14x7y3z5

35) Simplify: (3x2 – 4x + 7) + (-2x2 + 2x – 11)
a) x2 + 2x – 4       b) x2 – 2x – 4                c)    x2 – 6x + 18      d)    x4 + 2x2 – 4       e) x2 – 6x – 4

36) Simplify: (8a3 – 2a2 +3a) – (5a3 – 9a2 – 6a)
a) 3a3 + 7a2 + 9a b) 3a3 + 7a2 + 3a       c) 3a3 +7a2 – 3a               d) 3a3 – 11a2 – 3a e) 3a3 – 11a2 + 9a

37) FOIL: (3y – 7)(4y + 6)
a) 7y2 – 10y – 42 b) 12y4 – 10y2 – 42           c) 12y2 – 10y – 42 d) 12y2 – 46y – 42 e) 12y2 + 46y - 42

38) Which of the following is NOT a factor of 72?
a) 12                  b) 24                 c)            9                 d)    8                  e)        7

39) Find the prime factorization of 700.
a) 22  52             b) 23  52  7               c)    257             d)        22  52  7   e)    2  52  7

40) Find the GCF of 264 and 440.
a) 2                 b) 4                          c)    22                d)    44                 e)        88

41) Find the GCF of 48a2b5 and 60a5b3c8
a) 12a5b5c8          b) 12a5b5                     c)       12a2b3        d)    12a3b2             e)    12a2b3c8

87
42) Simplify:
84
a)   24                     b)   64                c)    1                 d)    13                 e)        512

 27 a 3 b 7 c
43) Simplify:
36 a 8 bc
 3a 5 b 6                   3a 5                   3ab 6                       3b 6                  3b 6 c
a)                          b)                     c)                      d)                      e)
4                         4b 6                    4a 5                         4a 5                   4a 5

5 xy 7  10 xy 5  25 xy 3  5 xy
44) Simplify:
 5 xy
a)   -y6 + 2y4 – 5y2                       b) -y6 + 2y4 – 5y2 + 1                    c)    y6 – 2y4 + 5y2
d)   y6 – 2y4 + 5y2 – 1                    e) -xy6 + 2xy4 – 5xy2 + xy

45) Factor by removing the GCF:          8x3y4 – 12x5y2
a)   4x5y4(2x2 – 3y2)               b) 4x3y2(2y2 – 3x2)          c)    4x3y2(2xy2 – 3x2y)
d)   4(2x3y4 – 3x5y2)               e) 4xy (2x3y4 – 3x5y2)

46) Factor the following trinomial:   x2 – 14x + 40
a) (x – 8)(x – 5)                     b) (x + 4)(x – 10)           c)    (x – 4)(x + 10)
d) (x + 4)(x + 10)                    e) (x – 4)(x – 10)

47) Factor the following trinomial:   3x2 – 20x – 7
a) (3x – 1)(x + 7)                    b) (3x – 7)(x + 1)           c)     (3x + 1)(x - 7)
d) (3x + 7)(x – 1)                    e) (3x – 1)(x - 7)

48) Factor the following binomial:    16x2 – 121
a) (4x – 11)2                         b) (4x + 11)(4x – 11)       c)    (8x + 11)(2x – 11)
d) (8x– 11)2                          e)   (2x + 11)(8x – 11)

49) Factor the following trinomial:   18x3 + 60x2 + 50x
a) 2(3x + 5)2                         b) x(3x + 5)2                c)     2x(3x + 5)2
d) x(9x + 25)(2x + 2)                 e) x(9x + 2)(2x + 25)

50) Solve the following quadratic equation: x2 – 5x = 36
a) x = {9, 4}                        b) x = {-9, 4}                c)    x = {-9, -4}
d) x = {9, -4}                      e) x = {-12, 3}