DEMONSTRATION ONLY: You have viewed 10 of the 45 items on a practice test. Your responses have not been saved and the answers shown below may not reflect the answers you selected. This page should give you a good idea of the type of results you'll receive after taking one of the four full-length math tests. All tests are modeled on the "MTLE Computer-Administered Practice Test" located at the official MTLE website. Click on the Question numbers 1-10 below to view the worked-out solution.
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Mathematics Subareas
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| Competency |
Questions Answered Correctly |
Questions Answered Incorrectly |
Number of Questions Answered Correctly/Number of Questions Addressing Subarea |
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0001 Understand number properties and number operations.
- Demonstrate knowledge of place value and the relative magnitude of numbers.
- Use addition, subtraction, multiplication, and division of whole numbers in multidigit computations.
- Identify equivalent ways of representing integers, fractions, decimals, and percents, including the use of exponents and scientific notation.
- Apply operations with positive and negative integers, fractions, decimals, and percents.
- Solve word problems involving integers, fractions, decimals, percents, ratios, and proportions.
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6
7
11
12
13
14
15
16
17
18
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100%
10/10
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0002 Understand fundamental principles of algebra.
- Evaluate algebraic expressions by substituting numbers for variables.
- Solve linear algebraic equations and inequalities in one variable.
- Identify equivalent algebraic expressions.
- Graph ordered pairs and number relationships presented in tabular or symbolic form.
- Identify the linear equation that best represents data presented in tabular or graphic form.
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2
3
8
19
20
21
22
23
24
25
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100%
10/10
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0003 Understand measurement principles and geometry concepts.
- Identify a measurement or measurement unit needed to solve a problem.
- Convert units within and between standard and metric measurement systems.
- Solve problems involving lines, line segments, and angles.
- Analyze fundamental properties of triangles, quadrilaterals, and circles.
- Solve problems involving the length, perimeter, and area of basic shapes and the surface area and volume of rectangular solids.
- Solve real-world problems involving basic measurement and geometric concepts, including the Pythagorean theorem.
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9
26
27
28
29
30
31
32
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100%
8/8
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0004 Understand probability and statistics.
- Calculate the probability of a given outcome.
- Analyze information presented in tables, line graphs, scatter plots, pictographs, bar graphs, histograms, and pie charts.
- Recognize the appropriate graphic representation of data.
- Compute and interpret the mean, median, and mode of data.
- Demonstrate knowledge of the concepts of range, standard deviation, and spread.
- Recognize appropriate and inappropriate uses of basic statistics.
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1
4
33
34
35
36
37
38
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100%
8/8
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0005 Understand problem solving, reasoning, and mathematical communication.
- Estimate the solution to a given problem.
- Evaluate the reasonableness of a solution to a given computation or problem.
- Use algorithms (i.e., a set of instructions) to perform a given calculation or solve a given problem.
- Use inductive reasoning to identify missing terms in numerical and graphical patterns.
- Use deductive reasoning to draw conclusions and evaluate arguments.
- Translate between written English and mathematical terminology, concepts, and notation.
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5
10
39
40
41
42
43
44
45
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100%
9/9
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, indicates the question was answered correctly; a capital X indicates the question was answered incorrectly.