What are like terms, and how do you combine them?

Like terms have the same variable raised to the same power; combine them by adding or subtracting their coefficients, e.g., 3x + 5x = 8x.

What is a coefficient and what is a constant in an algebraic expression?

A coefficient is the number multiplying a variable; a constant is a term with a fixed value and no variable.

How do you solve a two-step equation like 3x + 4 = 19?

Undo addition/subtraction first (subtract 4 to get 3x = 15), then undo multiplication/division (divide by 3 to get x = 5).

What must you remember when multiplying or dividing both sides of an inequality by a negative number?

You must reverse the direction of the inequality symbol.

What does the product of powers rule state for exponents?

When multiplying powers with the same base, add the exponents: a^m x a^n = a^(m+n).

What does a^0 equal for any nonzero base a, and what does a negative exponent mean?

a^0 = 1; a negative exponent means the reciprocal: a^(-n) = 1/a^n.

A relation in which each input (x) is assigned exactly one output (y).

What is the slope-intercept form of a linear equation, and what does each part represent?

y = mx + b, where m is the slope (rate of change) and b is the y-intercept (value of y when x = 0).

How do you calculate the slope of a line between two points?

Slope = (y2 - y1) / (x2 - x1), the change in y divided by the change in x (rise over run).

How can you tell from a graph whether a relation is a function?

Use the vertical line test: if any vertical line crosses the graph more than once, it is not a function.

🇺🇸 Partnership for Assessment of Readiness for College and Careers (PARCC) · flashcards

Partnership for Assessment of Readiness for College and Careers (PARCC) Mathematics: Grades 3-8 Content Flashcards

51 question-and-answer cards covering Mathematics: Grades 3-8 Content as it is examined in Partnership for Assessment of Readiness for College and Careers (PARCC). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.

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24 sample cards from the Mathematics: Grades 3-8 Content deck

Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.

What are like terms, and how do you combine them?
Like terms have the same variable raised to the same power; combine them by adding or subtracting their coefficients, e.g., 3x + 5x = 8x.
What is a coefficient and what is a constant in an algebraic expression?
A coefficient is the number multiplying a variable; a constant is a term with a fixed value and no variable.
How do you solve a two-step equation like 3x + 4 = 19?
Undo addition/subtraction first (subtract 4 to get 3x = 15), then undo multiplication/division (divide by 3 to get x = 5).
What must you remember when multiplying or dividing both sides of an inequality by a negative number?
You must reverse the direction of the inequality symbol.
What does the product of powers rule state for exponents?
When multiplying powers with the same base, add the exponents: a^m x a^n = a^(m+n).
What does a^0 equal for any nonzero base a, and what does a negative exponent mean?
a^0 = 1; a negative exponent means the reciprocal: a^(-n) = 1/a^n.
What is a function?
A relation in which each input (x) is assigned exactly one output (y).
What is the slope-intercept form of a linear equation, and what does each part represent?
y = mx + b, where m is the slope (rate of change) and b is the y-intercept (value of y when x = 0).
How do you calculate the slope of a line between two points?
Slope = (y2 - y1) / (x2 - x1), the change in y divided by the change in x (rise over run).
How can you tell from a graph whether a relation is a function?
Use the vertical line test: if any vertical line crosses the graph more than once, it is not a function.
What distinguishes a linear function from a nonlinear function?
A linear function has a constant rate of change and graphs as a straight line; a nonlinear function does not have a constant rate of change.
What is the formula for the area and perimeter of a rectangle?
Area = length x width; Perimeter = 2 x (length + width).
What is the formula for the area of a triangle?
Area = 1/2 x base x height.
What are the formulas for the circumference and area of a circle?
Circumference = 2(pi)r (or (pi)d); Area = (pi)r^2, where r is the radius.
What is the formula for the volume of a rectangular prism?
Volume = length x width x height (or area of the base times height).
What is the sum of the interior angles of any triangle?
180 degrees.
Define complementary and supplementary angles.
Complementary angles sum to 90 degrees; supplementary angles sum to 180 degrees.
How do the three rigid transformations (translation, reflection, rotation) affect a figure?
They preserve size and shape (producing congruent figures); a translation slides, a reflection flips, and a rotation turns the figure.
What does a dilation do to a figure, and what does it preserve?
A dilation enlarges or shrinks a figure by a scale factor about a center point, preserving shape (angles) but not size, producing a similar figure.
State the Pythagorean Theorem and what it applies to.
For a right triangle, a^2 + b^2 = c^2, where c is the hypotenuse (the side opposite the right angle) and a, b are the legs.
What is the difference between a bar graph and a histogram?
A bar graph displays categorical data with gaps between bars; a histogram displays numerical data grouped into intervals with no gaps between bars.
How do you find the mean, median, and mode of a data set?
Mean is the sum of values divided by the count; median is the middle value when ordered; mode is the most frequently occurring value.
What is the range and the interquartile range (IQR) of a data set?
Range is the maximum minus the minimum; IQR is the third quartile minus the first quartile (Q3 - Q1), measuring the spread of the middle 50%.
How is the probability of a simple event calculated, and what range can it take?
Probability = number of favorable outcomes / total number of possible outcomes; it ranges from 0 (impossible) to 1 (certain).

What this deck covers

The Mathematics: Grades 3-8 Content deck follows the Partnership for Assessment of Readiness for College and Careers (PARCC) Mathematics: Grades 3-8 Content syllabus — 5 chapters and 15 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 10.2 cards per chapter.

Answers are written to be recallable, not just readable — averaging about 98 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.

Mathematics: Grades 3-8 Content flashcards FAQ

How many Mathematics: Grades 3-8 Content flashcards are in this Partnership for Assessment of Readiness for College and Careers (PARCC) deck?

51 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.

Are these Partnership for Assessment of Readiness for College and Careers (PARCC) flashcards free?

Yes. The preview here is free to read with no signup, and the full 51-card deck is free inside the Examius app.

What do the Mathematics: Grades 3-8 Content cards cover?

They follow the Partnership for Assessment of Readiness for College and Careers (PARCC) Mathematics: Grades 3-8 Content syllabus — 5 chapters and 15 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.