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OpenStem
@openstem · Joined Jul 2026
7420 public items8 groups
Flashcards8 cards
What is (+3) × (+4)?1 / 8
+12. Two positive numbers multiplied together always give a positive answer.
Mathematics · L2 · Multiplying & Dividing Integers
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Mathematics · L2 · Multiplying & Dividing IntegersFlashcards8 cards
What is a term in an algebraic expression?1 / 8
A term is a single number, a variable, or numbers and variables multiplied together. Terms are separated by + or − signs. In 5x + 3y − 7, the terms are 5x, 3y, and −7.
Mathematics · L2 · Algebraic Expressions
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Mathematics · L2 · Algebraic ExpressionsFlashcards8 cards
What is a compound event?1 / 8
A compound event combines two or more simple events, like flipping a coin AND rolling a die. Instead of asking about one outcome, you're asking about a combination of outcomes.
Mathematics · L2 · Compound Events & Probability
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Mathematics · L2 · Compound Events & ProbabilityFlashcards11 cards
What does it mean when an equation has 'variables on both sides'?1 / 11
The letter x (or another variable) appears in terms on the left side AND the right side, like 5x + 3 = 2x + 12. Before you can do the usual two-step moves, you first gather all the x-terms onto one side by adding or subtracting one of them from both sides.
Mathematics · L2 · Multi-Step Equations & Inequalities
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Mathematics · L2 · Multi-Step Equations & InequalitiesFlashcards10 cards
What does 'rate of change' mean?1 / 10
Rate of change tells you how much one quantity changes compared to another — usually how much y changes for every step in x. On a graph, it's how steeply the line climbs or falls.
Mathematics · L2 · Slope & Rate of Change
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Mathematics · L2 · Slope & Rate of ChangeFlashcards9 cards
What is a scale factor?1 / 9
A scale factor is the number you multiply every length of a figure by to make a similar, larger or smaller copy. If the scale factor is 2, every side becomes twice as long.
Mathematics · L2 · Scale Drawings & Similar Figures
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Mathematics · L2 · Scale Drawings & Similar FiguresFlashcards8 cards
What is a net of a 3D solid?1 / 8
A net is the flat pattern you get when you unfold a 3D solid along its edges so every face lies flat. Adding up the area of every piece in the net gives the solid's total surface area.
Mathematics · L2 · Surface Area of Prisms & Pyramids
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Mathematics · L2 · Surface Area of Prisms & PyramidsFlashcards8 cards
What is theoretical probability?1 / 8
Theoretical probability is calculated by reasoning about all the possible outcomes, without running any trials. It's the number of favorable outcomes divided by the total number of equally likely outcomes.
Mathematics · L2 · Probability: Experimental vs Theoretical
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Mathematics · L2 · Probability: Experimental vs TheoreticalFlashcards8 cards
What is a histogram used for?1 / 8
A histogram shows how frequently data values fall into different ranges, called bins. The height of each bar shows how many data points landed in that bin.
Mathematics · L2 · Histograms & Box Plots
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Mathematics · L2 · Histograms & Box PlotsFlashcards8 cards
What is a rational number?1 / 8
A rational number is any number that can be written as a fraction p/q of two integers, where q is not zero. Its decimal form either terminates (stops) or repeats forever in a pattern.
Mathematics · L2 · Rational vs Irrational Numbers
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Mathematics · L2 · Rational vs Irrational NumbersFlashcards10 cards
What is a 'table of values' used for?1 / 10
It's a way to find points on a line before you draw it. Pick a few x-values, plug each into the equation, solve for y, and you get (x, y) pairs you can plot.
Mathematics · L2 · Graphing Linear Equations
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Mathematics · L2 · Graphing Linear EquationsFlashcards9 cards
When graphing an inequality on a number line, when do you use an open circle versus a closed (filled) circle?1 / 9
An open circle means the boundary value is NOT part of the solution — used for < and >. A closed (filled) circle means the boundary value IS included — used for ≤ and ≥.
Mathematics · L2 · Graphing Inequalities on a Number Line
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Mathematics · L2 · Graphing Inequalities on a Number LineFlashcards7 cards
You buy a $60 pair of shoes with a 15% discount. How do you find the sale price?1 / 7
Find 15% of $60: 0.15 × 60 = $9. Subtract that discount from the original price: $60 − $9 = $51. The sale price is $51.
Mathematics · L2 · Percent Applications: Discount, Tax & Tip
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Mathematics · L2 · Percent Applications: Discount, Tax & TipFlashcards9 cards
What is a translation?1 / 9
A translation slides every point of a figure the same distance in the same direction. The shape doesn't turn or flip — it just moves, keeping its size and orientation exactly the same.
Mathematics · L2 · Transformations: Translations, Reflections & Rotations
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Mathematics · L2 · Transformations: Translations, Reflections & RotationsFlashcards8 cards
What are complementary angles?1 / 8
Two angles whose measures add up to 90°. They don't need to be next to each other — they just need to sum to a right angle.
Mathematics · L2 · Angle Relationships
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Mathematics · L2 · Angle RelationshipsFlashcards9 cards
What is the radius of a circle?1 / 9
The radius (r) is the distance from the center of the circle to any point on its edge. Every radius of the same circle has the same length.
Mathematics · L2 · Circles: Circumference & Area
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Mathematics · L2 · Circles: Circumference & AreaFlashcards8 cards
What is a function table?1 / 8
A function table lists pairs of input and output values that all follow the same rule. Each input goes in, the rule is applied, and an output comes out.
Mathematics · L2 · Function Tables & Input-Output Rules
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Mathematics · L2 · Function Tables & Input-Output RulesFlashcards9 cards
What makes a relationship between x and y "proportional"?1 / 9
A relationship is proportional if y is always a constant multiple of x — that is, y = kx for some fixed number k. Every pair of values shares the same ratio y/x, and if x doubles, y doubles too.
Mathematics · L2 · Proportional Relationships
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Mathematics · L2 · Proportional RelationshipsFlashcards8 cards
What is a frequency table?1 / 8
A frequency table lists every value (or category) that appears in a data set alongside a count of how many times it occurs. Tallying the raw data into a table is usually the first step in making sense of it.
Mathematics · L2 · Data Displays: Dot Plots & Frequency Tables
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Mathematics · L2 · Data Displays: Dot Plots & Frequency TablesFlashcards6 cards
Solve for x: 3x + 4 = 19.1 / 6
Subtract 4 from both sides: 3x = 15. Divide by 3: x = 5.
Mathematics · L3 · Linear Equations & Inequalities
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Mathematics · L3 · Linear Equations & InequalitiesFlashcards7 cards
Factor: x² + 5x + 6.1 / 7
Find two numbers that multiply to 6 and add to 5: they are 2 and 3. So x² + 5x + 6 = (x + 2)(x + 3).
Mathematics · L3 · Quadratics
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Mathematics · L3 · QuadraticsFlashcards6 cards
What is the sum of angles on a straight line?1 / 6
Angles on a straight line add up to 180°. They are called supplementary angles.
Mathematics · L3 · Angles & Parallel Lines
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Mathematics · L3 · Angles & Parallel LinesFlashcards6 cards
State the Pythagorean theorem.1 / 6
In a right triangle with legs a and b and hypotenuse c:
Mathematics · L3 · Triangles: Pythagoras, Congruence & Similarity
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Mathematics · L3 · Triangles: Pythagoras, Congruence & SimilarityFlashcards7 cards
State the SOH-CAH-TOA memory aid.1 / 7
SOH: sin θ = Opposite / Hypotenuse
Mathematics · L3 · Right-Triangle Trigonometry (SOH-CAH-TOA)
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Mathematics · L3 · Right-Triangle Trigonometry (SOH-CAH-TOA)Flashcards6 cards
What are sin 30° and cos 30°?1 / 6
Mathematics · L3 · The Unit Circle & Special Angles
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Mathematics · L3 · The Unit Circle & Special AnglesFlashcards6 cards
What is the domain of f(x) = √(x − 3)?1 / 6
The square root requires x − 3 ≥ 0, so x ≥ 3. Domain: [3, ∞).
Mathematics · L3 · Functions & Transformations
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Mathematics · L3 · Functions & TransformationsFlashcards8 cards
What is log₂(8)?1 / 8
log₂(8) = 3 because 2³ = 8. The logarithm asks 'what power gives this value?'
Mathematics · L3 · Exponential & Logarithmic Functions
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Mathematics · L3 · Exponential & Logarithmic FunctionsFlashcards8 cards
What does it mean for an ordered pair (x, y) to be a solution to a system of two linear equations?1 / 8
It must satisfy BOTH equations at once — plug the x and y values into each equation and check that both come out true. Graphically, it's the point where the two lines cross.
Mathematics · L3 · Systems of Linear Equations
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Mathematics · L3 · Systems of Linear EquationsFlashcards8 cards
Add: (3x² + 2x − 1) + (x² − 5x + 4).1 / 8
Combine like terms: (3x² + x²) + (2x − 5x) + (−1 + 4) = 4x² − 3x + 3.
Mathematics · L3 · Polynomial Operations & Factoring
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Mathematics · L3 · Polynomial Operations & FactoringFlashcards8 cards
What is the formula for the arc length s of a circle with radius r, when the central angle θ is measured in radians?1 / 8
Arc length is just radius times angle (in radians) — no extra conversion needed:
Mathematics · L3 · Circles: Arcs, Sectors & Equations
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Mathematics · L3 · Circles: Arcs, Sectors & Equations