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.
|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.)
|Addition of fractions||http://is.gd/Ydd9KI , http://is.gd/bZ5BHO|
|10||(Note: express your answer as a decimal number.)
|Multiplication of fractions||http://is.gd/Jb2luQ , http://is.gd/g0q408|
|11||(Note: express your answer as a decimal number.)
|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|
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?
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 email@example.com. 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)
8) .25 or 1/4
9) 7/4 or 1 3/4
24) -3.75 or -3 3/4 or -15/4
25) X=4; Y=5
Contact us (410.837.5383, firstname.lastname@example.org) if you have any questions about this assessment or wish for advice from our math coordinator.