Project Motivational Math Algebra Test


Name__________________________________Date____________Score_____


Select the best answer. If the answer is not here, select E for NH.


Simplify Problems 1-8

1.    2(a - b) + 3a + 4b

A.    4a + 3b
B.    5a + 2b
C.    a - 3b
D.    2a - b
E.    NH



2.   (-8)2 - 82 - 8-1

A.    -1/8
B.    1/5
C.    1/7
D.    2/3
E.    NH



3.    Question 3

A.    Option A

B.    option B

C.    option C

D.    option C


E.    NH



4.   Question 4

A.    Option A

B.    Option B

C.    Option C


D.    (x + 3)


E.    NH



5.   Question 5

A.    Option A

B.    Option B

C.    Option C

D.    Option D


E. NH



6.    Question 6


A.    3

B.    Option B

C.    Option C


D.    (x - 5)


E.    NH



7.   62 ÷ [52 - 32 - (-2)2]

A.    4
B.    -9
C.    3
D.    10
E.    NH



8.    (3x - 2)(2x2 - 5x - 4)

A.    8x3 + 6x2 - 2x
B.    2x2 + 8x - 3
C.    19x2 - 3x + 4
D.    6x3 - 19x2 - 2x + 8
E.    NH



9.    Factor:    5a2 - ab - 22b2

A.   (5a - 11b)(2ab)
B.   (2a + b)(5a - 6b)
C.   (5a - 11b)(a + 2b)
D.   (5a - 11b)2
E.    NH



10.    Factor by grouping:    5(a - 3) - 2a(a - 3)

A.    (5 - 2a)(a + 3)
B.    (a - 3)2
C.    (5 - 2a)2
D.    (5 - 2a)(a - 3)
E.    NH



Evaluate Numbers 11-15:
       (Just write the equation. DO NOT SOLVE!)


11.    The difference of seven times n and three.

A.    7n - 3
B.    7 - n = 3
C.    7n + 3
D.    n - 3 = 7
E.    NH


12.    The product of nine and four n is twenty-seven.

A.    4 + (9n) = 27
B.    9(4n) = 27
C.    9(n - 4) = 27
D.    n(9 - 4) = 27
E.    NH


13.    The product of two consecutive integers is 8 more than twice their sum.

A.   x + (x + 2) - 8
B.   2(x + x - 2)+ 8
C.   8 - 2(x + x + 2)
D.   2(x - x + 2) + 8
E.    NH


14.    A collection of 40 dimes and nickels is worth $2.90. How many nickels are there?
         [HINT: 5n + 10(40 - n) = 290]

A.    20 nickels
B.    16 nickels
C.    22 nickels
D.    18 nickels
E.    NH


15.   Sean bought a $3000 used car by making a $480 down payment
        and getting a loan for two years with payments of $115 per month.
             a.    Find the total amount to be paid on the vehicle.
             b.    Find the amount of interest the buyer would be paying.

A.    1640,340
B.    3240,240
C.    3250,260
D.    2130,220
E.    NH


16.    Solve for x:    -3x = 21

A.    8
B.    -9
C.    -7
D.    3
E.    NH


17.   Solve for x:    6x - 7 = -4

A.    1/2
B.    2
C.    3
D.    2/3
E.    NH


18.   Solve for n:    7n - 11 = 12n + 19

A.    -4
B.    5
C.    8
D.    -6
E.    NH


19.    Write 5937 in Scientific Notation.

A.    5.937 x 103
B.    .5937 x 102
C.    .05937 x 10-3
D.    5.937 x 105
E.    NH


20.    Solve this equation using the Pythagorean Theorem in which a = 8
         and c = 17. What is the value of b?

A.    14
B.    12
C.    16
D.    9
E.    NH


21.    What is the next number in the sequence 2, 5, 10 17, 26, ...?

A.    34
B.    37
C.    39
D.    35
E.    NH


22.    Eight is what percent of 20?

A.    40
B.    28
C.    36
D.    30
E.    NH


23.    Solve the proportion:    Question 23

A.    15
B.    9
C.    7
D.    5
E.    NH


24.    Maria has $1.05 in dimes and nickels. She has 6 more nickels than dimes.
         How many nickels does Maria have?
         [HINT: 5(d + 6) + 10d = 105]

A.    11
B.    5
C.    15
D.    13
E.    NH


25.    Evaluate Question 25 when x = -2 and y = -4

A.    6/29
B.    5/47
C.    9/25
D.    5/34
E.    NH


26.    Evaluate the expression Question 26 when x = 3 and y = 2.

A.    0
B.    3
C.    1
D.    2
E.    NH


27.    If y varies directly as x, and y = 6 when x = 12, find y when x = 40.

A.    28
B.    20
C.    15
D.    18
E.    NH


HINT for numbers 28 and 29:    m = Question 28

28.    Find the slope of the line for: (-6,3), (-4,5)

A.    7
B.    2
C.    1
D.    5
E.    NH


29.    Find the slope of the line for: (8,4), (6,5)

A.    1/2
B.    2
C.    -1/2
D.    3
E.    NH


30.    Find the slope and the y-intercept for: y = 3x + 7
         [HINT:   slope-intercept form is y = mx + b,   m = slope,   b = y-intercept]

A.    m = 3, b = 8
B.    m = 2, b = 7
C.    m = 3, b = 7
D.    m = 4, b = 5
E.    NH



31.    Solve by using the quadratic formula: 9x2 + 12x - 1 = 0
         (HINT: The formula is as follows: quadratic )

A.    Option A
B.    Option B
C.    Option C

D.     3 ± 22

E.     NH



32.    What does "a" represent?

           Question 34

A.    Adjacent
B.    Opposite
C.    Hypotenuse
D.    Either Adjacent or Opposite
E.    NH



Use the figure below for Questions 33 and 34.

           Question 35


33.    Identify angles 2 and 6.

A.    Alternate Exterior Angles
B.    Alternate Interior Angles
C.    Corresponding Angles
D.    Same Side Angles
E.    Straight Angles



34.    Identify angles 1 and 8.

A.    Alternate Exterior Angles
B.    Alternate Interior Angles
C.    Corresponding Angles
D.    Same Side Angles
E.    Straight Angles




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