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🇺🇸 Praxis (Praxis Core and Praxis Subject Assessments) · flashcards
Praxis (Praxis Core and Praxis Subject Assessments) Praxis Core: Mathematics (5733) Flashcards
50 question-and-answer cards covering Praxis Core: Mathematics (5733) as it is examined in Praxis (Praxis Core and Praxis Subject Assessments). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Praxis Core: Mathematics (5733) deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the slope-intercept form of a linear equation?
y = mx + b, where m is the slope and b is the y-intercept.
What does the slope of a line measure?
The rate of change: rise over run, or (change in y) / (change in x) between two points.
What are the methods for solving a system of two linear equations?
Substitution, elimination (addition/subtraction), and graphing to find the point of intersection.
What does the solution to a system of two linear equations represent graphically?
The point (or points) where the lines intersect; parallel lines give no solution, identical lines give infinitely many.
What defines a function?
A relation in which each input (x-value) is paired with exactly one output (y-value).
What is the vertical line test?
A graph represents a function if no vertical line crosses it more than once.
What are the domain and range of a function?
Domain is the set of all possible input (x) values; range is the set of all possible output (y) values.
In an arithmetic sequence, how do you find the next term?
Add the common difference to the previous term (e.g., 3, 7, 11, 15... adds 4 each time).
In a geometric sequence, how do you find the next term?
Multiply the previous term by the common ratio (e.g., 2, 6, 18, 54... multiplies by 3 each time).
What is the formula for the perimeter of a rectangle?
P = 2(length + width), or P = 2l + 2w.
What is the formula for the area of a rectangle?
A = length × width (A = lw).
What is the formula for the area of a triangle?
A = ½ × base × height.
What are the formulas for the circumference and area of a circle?
Circumference C = 2πr (or πd); Area A = πr².
What is the formula for the volume of a rectangular prism (box)?
V = length × width × height (V = lwh).
What is the sum of the interior angles of any triangle?
180 degrees.
What is the Pythagorean theorem?
For a right triangle, a² + b² = c², where c is the hypotenuse (the side opposite the right angle).
What are complementary and supplementary angles?
Complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.
How do you find the distance between two points on a coordinate plane?
Use the distance formula: d = √[(x₂−x₁)² + (y₂−y₁)²].
What is the midpoint formula for two points on a coordinate plane?
Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2).
How many feet are in a mile, and how many inches are in a foot?
There are 5,280 feet in a mile and 12 inches in a foot.
How do you convert kilometers to meters and meters to centimeters?
Multiply by 1,000 for km to m, and by 100 for m to cm (the metric system is base 10).
What are the mean, median, and mode of a data set?
Mean is the average (sum ÷ count); median is the middle value when ordered; mode is the most frequently occurring value.
What is the range of a data set, and how is it found?
The range measures spread: it equals the maximum value minus the minimum value.
What is the formula for the probability of a single event?
Probability = (number of favorable outcomes) / (total number of possible outcomes), giving a value from 0 to 1.
What this deck covers
The Praxis Core: Mathematics (5733) deck follows the Praxis (Praxis Core and Praxis Subject Assessments) Praxis Core: Mathematics (5733) syllabus — 4 chapters and 17 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 71 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Praxis Core: Mathematics (5733) flashcards FAQ
How many Praxis Core: Mathematics (5733) flashcards are in this Praxis (Praxis Core and Praxis Subject Assessments) deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these Praxis (Praxis Core and Praxis Subject Assessments) flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Praxis Core: Mathematics (5733) cards cover?
They follow the Praxis (Praxis Core and Praxis Subject Assessments) Praxis Core: Mathematics (5733) syllabus — 4 chapters and 17 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.