vocab category
“Coefficient” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Number multiplied by exponent. Key Idea: Coefficient A coefficient is the numerical factor multiplied by a variable or term in an expression. General Rule: In a term like ax^n the coefficient is a, the variable is x, and the exponent is n. Why this matters for the SAT: Identifying coefficients is key… Continue reading “Basic Number Theory” Explained
“Circumference” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Outside edge length of a circle. 2π^r. Key Idea: Circumference The circumference is the total distance around the outside edge of a circle. General Rule: Circumference=2πr where r is the radius. Why this matters for the SAT: Circumference appears in problems involving circles, arc length, and geometry applications. Recognizing the formula and… Continue reading “Circles” Explained
“Box Plot” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A distribution of medians. Key Idea: Box Plot A box plot (or box-and-whisker plot) is a visual summary of a data set’s distribution.It shows the median, quartiles, and extremes of the data. General Rule: The box spans the interquartile range (Q1 to Q3). The line inside the box shows the median.… Continue reading “Box Plot” Explained
“Best Interpretation” Explained https://www.youtube.com/watch?v=XHOmBV4js_E What does the value mean in real life. Key Idea: Best Interpretation When asked for the best interpretation of a value, the question is asking:“What does this number actually represent in real life?” General Rule: Identify what the number measures. Explain it in context of the problem, not just mathematically. Translate… Continue reading “Solving” Explained
“Area” Explained https://www.youtube.com/watch?v=XHOmBV4js_E 2 dimensions multiplied. Check the reference sheet for formulas. Key Idea: Area Area measures the amount of two-dimensional space a shape covers.It is generally calculated by multiplying two dimensions (length × width, base × height, etc.) depending on the shape. General Rule: Area = dimension(1) × dimension(2) (Use the reference sheet for… Continue reading “Area” Explained
“Arc Length” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A fraction of the circumference. Key Idea: Arc Length The arc length of a circle is a fraction of the circumference, determined by the measure of the central angle relative to the entire circle. General Rule: Arc Length = Central Angle / 360 × Circumference Why this matters for the SAT:… Continue reading “Arc” Explained
“Altitude” Explained https://www.youtube.com/watch?v=XHOmBV4js_E A line that is perpendicular to the hypotenuse and cuts right angle of a triangle. Creates 3 similar right triangles. Key Idea: Altitude in a Right Triangle The altitude to the hypotenuse is a line drawn from the right angle of a right triangle perpendicular to the hypotenuse.This altitude divides the original… Continue reading “Altitude” Explained
“Absolute Value” Explained https://www.youtube.com/watch?v=XHOmBV4js_E When you get something down to “a”. Key Idea: Absolute Value Absolute value represents a number’s distance from zero, which is always non-negative.When solving equations or simplifying expressions, once you get the absolute value by itself, you split into two cases — one positive and one negative. General Rule: If ∣expression∣=a… Continue reading “Absolute Value” Explained
“% Of” Explained https://www.youtube.com/watch?v=XHOmBV4js_E Means to multiply the %/100 times the number. Key Idea: “% of” The phrase “% of” signals multiplication between the percent (as a decimal) and the number.To convert a percent to a decimal, divide it by 100. General Rule: percent/100×number Why this matters for the SAT: Many SAT problems involve percentages… Continue reading “Percentages” Explained
“Per” and “Ratio” Explained https://www.youtube.com/watch?v=XHOmBV4js_E “Per” and “Ratio” means something divided by something. Miles per gallon is miles divided by gallons. Key Idea: “Per” When a problem uses “per,” it signals division.The quantity before “per” goes on the top, and the quantity after “per” goes on the bottom. General Rule: Quantity before “per”÷Quantity after “per” … Continue reading “Ratios” Explained
