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Basic Math Assessment


Basic Math Self-Assessment

These math problems represent prerequisite skills that you'll need for statistics and other quantitative classes at UB. These skills will not be taught in class (except for those assessed in problems 18-26 which are taught in DVMA 93). However, you can prepare before classes start by using the resources listed in the last column.

We encourage you not to use your calculator on this quiz except where indicated. Answers are listed below.

No. Problem Concept Online Resources
1 -97 + 29 = ? Addition of signed numbers http://is.gd/A1dp9S
2 -97 - 29 = ? Subtraction of signed numbers http://is.gd/LDjnZv
3 -76.14 * 8.1 = ? Multiplication of signed numbers and decimals http://is.gd/eKBoPk , http://is.gd/oBhoi5 
4 -47.08÷58.85 = ? (Use your calculator.) Division of signed numbers and decimals http://is.gd/MFs8Yc , http://is.gd/X5CCkQ
5 12² = ? Squares; exponents http://is.gd/Sv0dFj
6 √81= ? (What is the square root of 81?) Square roots http://is.gd/zfz2a2 , http://is.gd/qDw2le
7 What is 5% of 220? Basic probability; multiplication of percentages http://is.gd/vsFkzy
8 50 is what proportion of 200? Ratios http://is.gd/ZguGt4
9 (Note: express answer as a fraction.)
1/4+3/2=?
Addition of fractions http://is.gd/Ydd9KI , http://is.gd/bZ5BHO
10 (Note: express your answer as a decimal number.)
1/4*6=?
Multiplication of fractions http://is.gd/Jb2luQ , http://is.gd/g0q408
11 (Note: express your answer as a decimal number.)
1/2÷1/4=?
Division of fractions http://is.gd/UX4g32 , http://is.gd/g0q408
12 (Note: express answer as a reduced fraction.) 1/3*6/8= ? Multiplication of fractions http://is.gd/Jb2luQ , http://is.gd/g0q408
13 Imagine that we flip a fair coin 1,000 times. What is your best guess about how many times the coin would come up heads in 1,000 flips? ____ times out of 1,000. Fractions http://is.gd/eNJklT
14 In the BIG BUCKS LOTTERY, the chance of winning a $10 prize is 1%. What is your best guess about how many people would win a $10 prize if 1000 people each buy a single ticket to BIG BUCKS? ____person(s) out of 1,000. Multiplication of percentages http://is.gd/RJLXow
15 In ACME PUBLISHING SWEEPSTAKES, the chance of winning a car is 1 in 1,000. What percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car?____%. Percentages http://is.gd/qyba7n
16 1+1.2 * 10²=? Exponents; scientific notation http://is.gd/IGemt4
17 1 + 1.2 * 10-² = ? Negative exponents; scientific notation http://is.gd/lK9Q4T , http://is.gd/DYooDQ
18 Solve for x:   y = 2x + 3 Solving literal linear equations http://is.gd/vGLvbo
19 Draw a graph of the following equation y=2x+3 Graphing linear equations http://is.gd/QlkcfQ
20 Draw a graph of the following equation y=x²-3 Graphing quadratic equations http://is.gd/HtLQVU
21 Evaluate: 3 + [(-7) + 3(2 + 5)] Order of operations http://is.gd/vSTgYI
22 If X = -1, then -( X4+X3 + X2 + X)= Evaluating expressions http://is.gd/PkrU6B
23

Linda purchased X items from a company for $8 each. The postage and handling charges for the first item are $3 and $1 for each additional item. Which of the following expressions gives the total dollar amount of Linda's purchase, including postage and handling of x items?
a. 8x+2
b. 8x+4
c. 9x+4
d. 9x+3
e. 9x+2

Translating a verbal expression to a variable expression; formulating a problem statement

http://is.gd/h7ozLR , http://is.gd/kQVBtI
24 Solve the following equation for X: 2(3 - X) + 10 = 5 - 2(3X+2) Solving linear equations in one variable http://is.gd/ydhPBf , http://is.gd/NbsFGd
25 Solve for X and Y.
2X - Y = 3
X + 2Y =14
Solving systems of linear equations http://is.gd/Pl5GpE
26 Sam is twice as old as his brother. If 10 years from now Sam is 20 years older than his brother, how old is Sam now? Formulating a problem; solving linear equations in one variable http://is.gd/HcPUeB
  • Answers and Resources

    Compare your answers to the correct answers below. Use the links in the Online Resources column above to master these essential tools before classes begin. If you miss most or all of problems 18-26, consider enrolling in DVMA 93 (Introductory Algebra). Contact Math Coordinator Yoosef Khadem at 410.837.5385 for advice.

    Tutors are available for basic math review through the end of the second week of classes. To meet with a tutor, call 410.837.5383 or email alc@ubalt.edu. Be sure to mention the math self-assessment and tell us what UB course you are preparing for.

    Videotapes (VHS) are available for check-out from the ALC: 
                    1) Standard Deviants' Basic Math (for concepts addressed in 1-13)                 
                    2) The Power of Algebra: Words into Symbols (for concepts addressed in 23 and 26) 

    1) -68
    2) -126
    3) -616.734
    4) -0.8
    5) 144
    6) 9
    7) 11
    8) .25 or 1/4
    9) 7/4 or 1 3/4
    10) 1.5
    11) 2
    12) 1/4
    13) 500
    14) 10
    15) .1
    16) 121
    17) 1.012
    18) x=(y-3)/2
    19)
             graph answer for question 19
    20)
     graph answer for question 20
    21) 17
    22) 0
    23) e
    24) -3.75 or -3 3/4 or -15/4
    25) X=4; Y=5
    26) 40

Contact us (410.837.5383, alc@ubalt.edu) if you have any questions about this assessment or wish for advice from our math coordinator.