SHSAT questions and answers graded A+ 2023/2024

SHSATArea of a triangle - correct answer 1/2 BH Pythagorean theorem - correct answer A^2+B^2=C^2, etc. Slope - correct answer Run/Rise - y1-y2 / x1-x2 Semicolon - correct answer "Therefore" Colon - correct answer Used like "and here it is" - I have 2 favorite animals: dogs and cats. Comma rules - correct answer NEVER, EVER USE TO SEPARATE TWO COMPLETE SENTENCES. run on - - correct answer More or less a bunch of sentences combined into one, with no transition word to separate them. Surface Area - correct answer The area of the surface of the shape - NOT VOLUME. Formulas: Surface Area of a Sphere = 4 pi r 2. (r is radius of circle) Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h. (h is the height of the cylinder, r is the radius of the top), Square = BH *6, Rectangle = LW*2, LH*2, WH*2 Circle formulas: - correct answer A = PiR^2, C PiD Volume - correct answer The space inside a shape Steps to active reading - correct answer Underline important stuff, circle dates, names and transitions. At least one note per paragraph. In the end, try to paraphrase to under one sentence. PEMDAS - correct answer Order of operations - Parentheses, Exponents, Multiplication, Addition, Subtraction. Area of Trapezoid - correct answer (B1+B2/2)H FOIL - correct answer First Outer Inner Last. Used for binomials. EG: (3z+5)*(2z*7) Lengths of right triangles. - correct answer Commonly 3,4,5, but can also be multiples of said numbers (such as 6,8,10 or 9,12,15) Define bisect - - correct answer Cutting an angle in half Integers - correct answer Positive and negative WHOLE numbers together with zero. Examples include 0, sqrt(9), and 2. Even integers are even integers, like 4 and 6. Odd integers are the opposite, with numbers including 3 and 6. Consecutive are integers with the next number being the next integer, examples include 2,3,4. Operations on integers - correct answer Odd + Odd = Even, Odd +Even = Odd, Even + Even = Even, Odd * Odd = Odd, Odd * Even = Even, Even * Even = Even. Simplifying Sq. Roots - correct answer Example: √8 = √4*2 √4 = 2, √8 = 2√2 another - √32 = √16*2 = 4√2, 3rd example: x - √2 = √8, √8 = 2√2, √2 = 1√2, √2 + √8 = 3√2 When problem has no like terms, you have to combine like terms. - correct answer Flip back to front Answer books - correct answer Sometimes, they can be wrong Absolute Value - correct answer The distance a number is from 0 from the number line. The absolute value of -2 and 2 are both 2. Acute Angles - correct answer An angle that measure between 0 degrees and 90 degrees noninclusive. Adding and Subtracting Radicals - correct answer When adding and subtracting radicals the number under the radical sign must be the same. If the number under the radical is the same, simply add or subtract the coefficients in front of the radicals. For example, 2√13 + 5√13 = 7√13 Adjacent Angles - correct answer Angles located directly next to each other when two lines intersect. They always add up to 180 degrees and therefore supplementary angles. American System - correct answer The system of measurements used in the U.S. Length Measures: 1 ft = 12 in 1 yd = 3 in 1 mi = 5280 ft Weight Measures: 1 lb = 16 oz 1 t = 2000 lbs Liquid Measures: 1 c = 8 oz 1 pt = 2 c 1 qt = 2 pt 1 g = 4 qt Temperature Measures: 1 deg. F = 9/5 deg. C + 32 Angle - correct answer a figure formed by two lines that meet at one point, called a vertex. Angle Bisector - correct answer A line or a ray that passes through the vertex of an angle in half, forming two equal smaller angles. Area - correct answer The amount of space within an enclosed 2-D shape (e.g. a rectangle or a circle)