Placement Test Review Units 12

Sep 30, 2026

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The Math Placement Test sequence for the College of Western Idaho helps students place out of developmental mathematics units through a structured placement test. The Units 1&2 placement test includes 15 questions, allowing a 70% or higher score to move to the next level. Each level allows two attempts, which must be taken on different days. The document provides sample problems across mean/median/mode, rounding, geometry perimeter and area, distributive property, algebraic evaluation, conversions, equations, and formula-based problem solving, with answer keys for practice.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Placement test overview

Scoring rules and attempt limits

Sample problems by topic

Statistics: mean, median, mode

Rounding and unit conversions

Geometry: perimeter and area

Algebra: distributive property and expressions

Algebra: coefficients, exponents, and evaluation

Equations and formulas

Answer key

The Math Placement Test Sequence at the College of Western Idaho allows students to test out of Units in the developmental mathematics sequence. The Placement test for Units 1&2 has 15 questions. If you complete a level with a score of 70% or higher, you may attempt the next level in the sequence. You are limited to two attempts per level on the Placement Test. The two attempts must not be on the same day. Sample problems (and associated topics): 1. For the following set of numbers, find the mean, median, and mode: 12, 14, 25, 10, 25, 15, 11. ( Find the mean, median, and mode.) 2. Round 0.8417 to the nearest hundredth. ( Round numbers) 3. Find the perimeter and area of a rectangle with a width of 12 cm and a length of 17 cm. ( Find the perimeter and area of common polygons.) 12 cm 17 cm 4. Use the Distributive Property to rewrite this expression: 􀜽 (􀜽 + 4) . ( Use the Distributive Property.) 5. Evaluate 3􀝔2 + 2􀝕 for 􀝔 = 5 and 􀝕 = 4 ( Evaluate algebraic expressions.) 6. Change the word phrase into an algebraic expression: The difference between 4 times a number and ten. Use x to represent the number. (Write word statements as algebraic expressions.) 7. What is the coefficient and the exponent in the term −3􀝐4 ? (Identify terms, coefficients, and like terms of an algebraic expression.) 8. Convert 65 m to feet. Round your answer to the nearest tenth. ( Make conversions involving American and Metric units of measure.) 9. Evaluate (−7)2. ( Evaluate exponential expressions.) 10. A theater ticket for adults is A dollars and the price of a child's ticket is c dollars. If 23 adults and 36 children attend the theater one night, how much money did the theater make? (Translate word statements into expressions or equations.) 11. Simplify the expression using the order of operations: 22∙77 ( Use the order of operations to evaluate numeric expressions.) 12. Convert the fraction 15 into a decimal and a percent. (Convert between percentages, decimals, and fractions.) 13. Solve 6 − 3􀝔 = 5􀝔 − 10􀝔 + 8. (Solve linear equations involving non-simplified expressions.) 14. Solve for x: 5􀝔 − 9 = 11􀝔 + 15. (Solve equations using both the addition and the multiplication properties of equality.) 15. Solve the equation: 0.36 (18) + 0. 06􀝔 = 0.18 (18 + 􀝔) (Solve linear equations containing decimals.) 16. Solve the linear equation: − 45􀝔 = 35 (Solve linear equations containing fractions.) 17. Solve for x: 4 (3􀝔 − 4) = 20. (Solve linear equations involving grouping symbols.) 18. Solve: 15􀝔 = −9 (Solve one-step equations.) 19. Use the formula and the values given to find the value of the remaining variable. 􀜣 = 12 􀜾ℎ; 􀜾 = 30, ℎ = 26 ( Evaluate a formula.) 20. Find the value of the variable that is not given. 􀜲 = 􀜽 + 􀜾 + 􀜿 􀜽 􀜾 􀜲 = 31, 􀜽 = 13, 􀜾 = 14 (Solve problems involving geometry formulas.) 􀜿 Answers: 1. Mean: 16, Median: 14, Mode: 25 2. 0.84 3. Perimeter: 58 cm, Area: 204 cm2 4. 􀜽 2 + 4􀜽 5. 83 6. 4􀝔 − 10 7. Coefficient: -3, Exponent: 4 8. 213.2 feet or 213.1 feet 9. 49 10. 23􀜣 + 36􀜿 11. 3177 12. Decimal: 0. 2, Percent: 20% 13. 􀝔 = 1 14. 􀝔 = −4 15. 􀝔 = 27 16. 􀝔 = − 34 17. 􀝔 = 3 18. 􀝔 = −45 19. 􀜣 = 390 20. 􀜿 = 4 Some websites to help you practice are: IXL [https://www.ixl.com/math/algebra-1](https://www.ixl.com/math/algebra-1) S.O.S Math [http://www.sosmath.com/algebra/algebra.html](http://www.sosmath.com/algebra/algebra.html) Khan Academy [https://www.khanacademy.org/math/algebra?t=practice](https://www.khanacademy.org/math/algebra?t=practice) Purplemath [http://www.purplemath.com/](http://www.purplemath.com/)

FAQs

How many questions are in the Placement Test for Units 1&2?

The Placement Test for Units 1&2 has 15 questions.

What score is required to attempt the next level, and how many attempts are allowed?

A score of 70% or higher allows attempting the next level. Each level is limited to two attempts.

Are the two attempts allowed on the same day?

No. The two attempts must not be on the same day.

Sep 30, 2026

Upload by dbqoiu