Praxis Middle School Mathematics (5164) Exam Prep
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Free 5164 Practice Questions

10 exam-style questions with answers and explanations, straight from our 1,030-question bank. Tap an answer to check yourself. When you're ready, take the scored version in the free practice test.

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The 5164 exam has 66 questions and runs 3 hours.

These 10 free 5164 questions are organized by exam domain, so you can see how each part of the Praxis Middle School Mathematics (5164) blueprint is tested. Reveal the answer and explanation under each question.

Domain 1: Numbers and Operations 23% of exam

Question 1

A student evaluates the expression 24 ÷ 4 × 3 and arrives at an answer of 2. Which statement identifies the student's error?

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Correct answer: A - The student multiplied before dividing instead of working from left to right

Question 2

A store buys a jacket for $40, marks up the price by 35%, and later discounts the marked-up price by 20%. What is the sale price of the jacket?

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Correct answer: B - $43.20

Question 3

Which statement about the sum of a rational number and an irrational number is always true?

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Correct answer: D - The sum is always an irrational number

Question 4

A car travels at a constant speed of 36 miles per hour. What is this speed in feet per second? (1 mile = 5,280 feet)

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Correct answer: C - 52.8 feet per second

Question 5

Two shuttle buses leave a terminal at the same time. One bus returns to the terminal every 12 minutes and the other returns every 18 minutes. After how many minutes will both buses next return to the terminal at the same time?

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Correct answer: C - 36 minutes

Domain 2: Algebra 23% of exam

Question 6

A student solves the inequality -3x > 12 and writes the solution as x > -4. Which statement identifies the student's error?

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Correct answer: A - The student divided correctly but failed to reverse the inequality symbol

Question 7

Which expression represents "the product of 4 and the quantity 7 less than a number n"?

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Correct answer: D - 4(n - 7)

Question 8

How many solutions does the equation 4(x + 3) = 4x + 12 have?

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Correct answer: D - Infinitely many solutions

Question 9

A theater sold 110 tickets and collected $1,120. Adult tickets cost $12 each and child tickets cost $8 each. How many child tickets were sold?

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Correct answer: B - 50

Domain 3: Functions 17% of exam

Question 10

A gym charges a one-time $40 initiation fee plus $25 per month. A student claims that the relationship between total cost and number of months is proportional because the cost increases by the same amount each month. Which statement BEST evaluates the student's claim?

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Correct answer: C - The claim is incorrect, because the graph does not pass through the origin

The rest of the 5164 blueprint

The 5164 exam also covers these domains. Drill them in the full free practice test:

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