Math Placement Test
MA101 - Introductory Algebra I
MA101 is the first credit course in Algebra. Placement in this class is based on the results of assessment or Placement scores, successful completion of AE109, or permission of the instructor.
The placement test measures your understanding of basic Math and Algebra skills as presented in the AE108 and AE109 courses. Topics covered include signed numbers, basic algebra operations, exponents, word problems, charts, basic graphing, and English-Metric methods of measurement.
MA101 is worth 4 credits towards graduation.
Chapter 7
A. To read a pictograph B. To read a circle graph C. To read a bar graph D. To read a broken - line graph E. To read a histogram F. To read a frequency polygon G. To find the mean, median and mode of a distribution H. To draw a box-and-whiskers plot To calculate the probability of simple events A sample of each of these objectives follows:
A. To read a pictograph
Pictographs use symbols to represent information.
B. To read a circle graph
A circle graph represents data by the size of the sectors
C. To read a bar graph and a double bar graph
Bar graphs represent data by the height of the bars
D. To read a broken - line graph
A broken - line graph represents data by the position of the lines ( joining the dots )
E. To read a histogram
This is a special type of bar graph dealing with class intervals and with class frequency
F. To read a frequency polygon
This is a special type of bar graph which joins dots placed at the center of the peak of each class interval
G. To find the mean, median, and mode of a distribution
Given the numbers {25, 22, 21, 27, 25, 35, 29, 31, 25, 26, 21, 39, 34, 32, 28},
mean = 28, median = 27, mode = 25
H. To draw a box-and-whiskers plot
box-and-whiskers plot (boxplot) contains
smallest number
first quartile, Q1 median third quartileQ3 largest number I. To calculate the probability of simple events
Mathematically calculating the odds of whether or not an event will occur.
Chapter 8
A. To convert measurements of length in the U.S. Customary System B. To perform arithmetic operations with measurements of length C. To convert measurements of weight in the U.S. Customary System D. To perform arithmetic operations with measurements of weight E. To convert measurements of capacity in the U.S. Customary System F. To perform arithmetic operations with measurements of capacity G. To use units of energy in the U.S. Customary System H. To use units of power in the U. S. Customary System A sample of each of these objectives follows:
A. To convert measurements of length in the U.S. Customary System
39 ft = _?_ yd (ans = 11), 7 mi = _?_ yd ( ans = 12320), 7920 ft = _?_ mi (ans = 1.5)
B. To perform arithmetic operations with measurements of length
64 in = _?_ ft _?_ in (ans 5ft 4in),
6 3 = _?_ ft 4 C. To convert measurements of weight in the U.S. Customary System
6 _?_ D. To perform arithmetic operations with measurements of weight
7 lb 5 oz E. To convert measurements of capacity in the U.S. Customary System
22 pt _?_ 3 4 F. To perform arithmetic operations with measurements of capacity
3 qt 6 oz 1 qt 10 oz G. To use units of energy in the U.S. Customary System
40,000 Btu _?_ H. To use units of power in the U.S. Customary System
3,850 _?_ Chapter 9
A. To convert units of length in the Metric System of Measurement B. To convert units of mass in the Metric System of Measurement C. To convert units of capacity in the Metric System of Measurement D. To use units of energy in the Metric System of Measurement E. To convert U. S. Customary units to metric units A sample of each of these objectives follows:
A. To convert units of length in the Metric System of Measurement
2.54 m _?_ B. To convert units of mass in the Metric System of Measurement
6 g 84 cg _?_ C. To convert units of capacity in the Metric System of Measurement
5 000 cl 32 ml _?_
5 000 cl 32 ml _?_ D. To use units of energy in the Metric System of Measurement
1800 watt @ 3.5 hours per day for 30 days @ 6 cents per Kwh _?_ E. To convert U. S. Customary units to metric units
Gasoline costs $1.86 per US gal. = _?_
60 mph = _?_
Chapter 10
A. To identify the order relation between two integers B. C. To add integers D. To subtract integers E. To multiply integers F. To divide integers G. To add or subtract rational numbers H. To multiply or divide rational numbers I. To write a number in scientific notation J. To use the Order of Operations Agreement to simplify expressions A sample of each of these objectives follows:
A. To identify the order relation between two integers
Is -7 > -11 or is -7 < -11B. To evaluate expressions that contain the absolute-value
Is - | -12 | = +12 or -12C. To add integers
Add ( - 5 ) + ( - 2) + 8 + ( - 1 ). Ans = 0D. To subtract integers
Subtract 14 - ( 9 ) - ( - 7 ) - 12 . Ans = 0E. To multiply integers
Multiply 9 (-4) (6) (-3) . Ans = 648
F. To divide integers
Divide 98 ÷ (-14). Ans = -7
Divide 0 / 12. Ans = 0
Divide 11 ÷ 0. Ans = undefined
G. To add or subtract rational numbers
5 _?_ 6 3.666 + 4.13 = _?_ , Ans = 7.796
H. To multiply or divide rational numbers
Divide 1 _?_ 2 Round 3.246 ÷ 2.42 to the nearest 2 decimals. Ans 1.34
I. To write a number in scientific notation
Write 3.04 x 10-4 in decimal notation. Ans 0.000 304Write 23,349,456 in scientific notation. Ans 2.33 x 107
J. To use the Order of Operations Agreement to simplify expressions
Simplify (-2)2 x (4 - 8)2 - (-20) ÷ (-4). Ans = 59
Chapter 11
To evaluate variable expressions To simplify variable expressions containing parentheses To determine whether a given value is a solution of an equation To solve an equation of the form ax = b To solve an equation of the form ax + b = c To solve an equation of the form ax + b = cx + d To solve an equation containing parentheses To translate a verbal expression into a mathematical expression given the variable To translate a verbal expression into a mathematical expression by assigning the variable To translate a sentence into an equation and solve A sample of each of these objectives follows:
A. To evaluate variable expressions
Evaluate 3x2 + 2y - z, when x = 2, y = -3, and z = 6. Ans = 0B. To simplify variable expressions containing no parentheses
Simplify 3x2 + 2y - x2 + 7y. Ans = 2x2 + 9yC. To simplify variable expressions containing parentheses
Simplify 3x2 - (2y - x2 + 7y). Ans = 4x2 + 5y
D. To determine whether a given value is a solution of an equation
Is -3 a solution to the equation 3x2 + 7x - 6 ? Ans = yes
E. To solve an equation of the form x + a = b
Solve F. To solve an equation of the form ax = b
Solve w 4 G. To solve an equation of the form ax + b = c
Solve H. To solve an equation of the form ax + b = cx + d
Solve 3 x 1 x + 1 4 2 I. To solve an equation containing parentheses
Solve 3(2x - 4) = 5(x + 1), Ans = 13x increased by 7 means x + 7
J. To translate a verbal expression into a mathematical expression given the variable
Listed are only a few of many examples x increased by 7 means x + 7 the difference between m and 4 means m - 4 one half of 16 means 1 16 the quotient of m and 3 means m 2 3 the ratio of x to y means x y K. To translate a verbal expression into a mathematical expression by assigning the variable
The product of a number and two thirds of the number is 24 means n x 2 n = 24 3 L. To translate a sentence into an equation and solve
The product of a number and two thirds of the number is 24 means n x 2 n = 24 3
The solution is +6 or -6 Chapter 12
To define and describe lines and angles To solve problems involving angles formed by intersecting lines To find the perimeter of plane geometric figures To find the area of geometric figures To find the volume of geometric figures To find the square root of a number To find the unknown side of a right triangle using the Pythagorean Theorem To solve similar and congruent triangles A sample of each of these objectives follows:
A. To define and describe lines and angles
Understand lines, angles, types of angles, parallel and intersecting lines, planes, geometric shapes, solids
B. To define and describe geometric figures
Understand triangle, right triangle, quadrilateral, parallelogram, rectangle, square, diagonal, circle, diameter, radius, cube, sphere
C. To solve problems involving angles formed by intersecting lines
Understand vertical angles, adjacent angles, transversal, interior angles, exterior angles, corresponding angles and their relationships.
D. To find the perimeter of plane geometric figures
Understand and calculate perimeter of polygons, triangles, rectangles, squares, and circumference of circles
E. To find the perimeter of composite geometric figures
Understand and calculate perimeter of parts of two or more shapes combined.
F. To find the area of geometric figures
Understand and calculate area of polygons, triangles, rectangles, squares, and circumference of circles
G. To find the area of composite geometric figures
Understand and calculate area of parts of two or more shapes combined.
H. To find the volume of geometric figures
Understand and calculate volume of polygons, triangles, rectangles, squares, and circumference of circles
I. To find the volume of composite geometric figures
Understand and calculate volume of parts of two or more shapes combined.
J. To find the square root of a number
Square root of a perfect square, and of any other rational number, using a calculator.
K. To find the unknown side of a right triangle using the Pythagorean Theorem
(hypotenuse)2 = ((leg1)2 + (leg2)2
L. To solve similar and congruent triangles
Similar triangles have the same shape, but are different sizes. Triangles are solved using ratios.
Congruent triangles are identical in every way. Triangles are solved using theorems.
PLACEMENT TEST
Our purpose in having you write a placement test is to attempt to put you in the highest level math course that you can comfortably handle. If you feel you understand the above objectives and examples quite well, then click on the MA101 Test button below to write the MA101 Placement Test.
To look at the course objectives for any of the other courses, click on the respective course buttons.
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