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The product of two positive numbers vs. the product of two negative numbers. A: The product of two positive numbers is greater B: The product of two negative numbers is greater C: The two quantities are equal D: It can't be determined from the given information Correct Answer D Three times the sum of 10 and twice some number x is 54. 8 vs. x A: 8 is greater B: x is greater C: The two quantities are equal D: It can't be determined from the given information Correct Answer A x + 3 < 5 x+1 vs. 2 A: x+1 is greater B: 2 is greater C: The two quantities are equal
D: It can't be determined from the given information. Correct Answer D 1/4 vs. 13/ A: 1/4 is greater B: 13/135 is greater C: The two quantities are equal D: It can't be determined from the given information. Correct Answer B y = x + 2 z = y - 2 y vs. z A: y is greater B: z is greater C: The two quantities are equal D: It can't be determined from the given information. Correct Answer C The surface area of a cube of edge 5 vs. The area of a square of side 12 A: The former is greater B: The latter is greater C: The two quantities are greater D: It can't be determined from the given information Correct Answer A The area of a square with a diagonal of 2 vs. The area of a circle with a diameter of 2 A: The former is greater B: The latter is greater C: The two quantities are equal
If r - 1, r , and r + 1 are sides of a triangle, then r cannot be what? A: greater than 3 B: less than or equal to 3 C: less than 4 D: less than or equal to 2 E: It can't be determined from the given information. Correct Answer D quadratic formula Correct Answer [-b ± √(b² - 4ac)] / (2a) slope formula Correct Answer (y₂- y₁) / (x₂- x₁) integers Correct Answer ..., - 3, - 2, - 1, 0, 1, 2, 3, ... rationals Correct Answer fractions (anything expessable as a ratio of integers) reals Correct Answer integers, rationals, plus special #s (like √2 or pi) order of opperations Correct Answer PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) Arithmetic Sequences Correct Answer t₁, t₁+ d, t₁+2d, ... Geometric Sequences Correct Answer t₁, t₁· r, t₁· r², ... When using process of eliminate to narrow answer choices, eliminate answers that are too ______, too _____, or have the incorrect ________. Correct Answer large, small, sign
The number of degrees in a circle equals _____ Correct Answer 360 The ones digit is also called the ______ digit. Correct Answer units A proportion is solved by __________ multiplying. Correct Answer cross Figures are drawn to scale unless ________. Correct Answer They are labeled "not drawn to scale" Vertical lines have the equation x =__ _______ Correct Answer a constant Horizontal lines have the equation y = __ _________ Correct Answer a constant When solving two equations with two variables, first try the _____________ method. Correct Answer elimination List the prime numbers that are less than 30 Correct Answer 2,3,5,7,11,13,17,19,23, Composite numbers are numbers that are not _______. Correct Answer prime If a figure is "not drawn to scale" you can _________ it to scale Correct Answer re-draw
If a right triangle has two known sides that belong to a Pythagorean triple, check if the __________ has the correct length before concluding it is a triple Correct Answer hypoteneuse A soccer team lost 7 games and won 4 games. 57 1/7 % vs. the percent of games played they won A: 57 1/7 % is greater B: the percent of games they won is greater C: The two quantities are equal D: It can't be determined from the given information Correct Answer A In percent problems where the answer choices are all percents, Pick the Number, ____ to start with. Correct Answer 100 If a grid-in question asks for an answer within a range of values, convert answers to _______ Correct Answer decimal When using your calculator be careful about ______ of operations. Correct Answer order Remainder problems are often easier if you _______ ________ Correct Answer Pick Numbers Percent change = (new - original) ÷ ___________ Correct Answer original
If a triangle is inside a circle, the sides may coincide with ________ of the circle Correct Answer radii In combinations problems, make a systematic ______ of the possibilities Correct Answer list An arithmetic sequence is a list of numbers (terms) where consecutive terms have a fixed _________ Correct Answer difference A geometric sequence is a list of numbers (terms) where consecutive terms have a fixed _________ Correct Answer ratio When solving equations involving radicals, first _______ the radical, then ________ both sides Correct Answer isolate, square x½ = Correct Answer √x x¾ = Correct Answer ⁴√x³ x⁻² = Correct Answer 1/x² If asked to find the domain of a rational function, find values which CANNOT be in the domain by setting the ____________ to zero Correct Answer denominator If asked to find the domain of a function involving radicals, remember that you CANNOT take the square root of a __________ number Correct Answer negative
When Backsolving, start with the ________ answer choice. Correct Answer middle When a figure is drawn to scale, _________ lengths, angles, and areas. Correct Answer eyeball or measure When solving three simultaneous equations with three variables, use ___________. Correct Answer Backsolving The midpoint (x,y) of two points is the _________ of the x's and y's Correct Answer average Parallel lines have _______ slopes. Correct Answer equal Perpendicular lines have slopes which are ________ ________ of each other. Correct Answer opposite reciprocals The sum of the exterior angles of a convex polygon is _____, no matter how many sides it has. Correct Answer 3 60⁰ Isosceles triangles have two congruent ______ and two congruent _______ angles. Correct Answer legs, base Squares: 11², 12², 13², 14², 15², 16² Correct Answer 121, 144, 169, 196, 225, 256 Cubes: 2³, 3³, 4³, 5³ Correct Answer 8,27,64,
If a problem involves even and odd numbers, a good method is ____ ________. Correct Answer Pick Numbers When Picking Numbers, do not use 0, 1, or 2 and evaluate ____ choices. Correct Answer all In problems involving averages, start by finding the ____ of all the numbers. Correct Answer sum With word problems where answer choices are numbers, use _____________. Correct Answer Backsolving With word problems where answer choices include variables, use ______ __________. Correct Answer Pick Numbers The ratio of the sides of a 30- 60 - 90 triangle is Correct Answer 1: √3: 2 The ratio of the sides of a 45- 45 - 90 triangle is Correct Answer 1: 1: √ 2 When asked to find the range of a function, remember that xⁿ is always ________ if n is even Correct Answer positive The slope-intercept form of the equation of a line is ________________, where m is the slope and b is the y- intercept Correct Answer y = mx + b rise / run is Correct Answer slope of a line
alternate __________, and ____________ Correct Answer interior, exterior, corresponding xⁿ has the same sign as x if n is an ______ number Correct Answer odd (3^a)^2 Correct Answer is equal to 9^a (a^3)^3 times (a)^(-9) Correct Answer is equal to 1 Polynomial expression Correct Answer one or more terms with a coefficient, a variable base, and an exponent. Base of a polynomial Correct Answer has an exponent attached to it. Slope less than 1 Correct Answer y is less than x x^1 = x Correct Answer 3^1 = 3 x^0 Correct Answer = 1 x^m * x^n Correct Answer = x^m + n x^m/x^n Correct Answer = x^m-n (x^m)^n Correct Answer = x^mn (xy)m Correct Answer = (x^m)(y^m) x^(-m) Correct Answer 1/x^m
If someone got a certain number of X questions correct, and a certain percentage of Y questions correct, to find the percentage of Correct Answers... Correct Answer solve for all the numbers in the solution, and then find the percentage that comes from that. When asked for the increase and decrease of a percentage of something... Correct Answer think of it like x(percentage change times percentage change) For example: p(1.2 * 0.6 * 1.25) x interest compounded annually means... Correct Answer (Original deposit)(Percentage + 1)^(Time) Semiannually Correct Answer twice a year. When calculating COMPOUNDED Semiannually (or quarterly) Correct Answer If the yearly is given, divided that percent in half before adding one. Then multiply the t by how many times it is compounded per year (twice for semiannually.) For interest that is compounded more than once a year Correct Answer a = p(1 + r/n)^tn n is the number of times it is compounded per year. Simple interest Correct Answer not compounded For simple interest... Correct Answer A = P(1 + rt)
Negative association vs. Positive association Correct Answer two ways to graph something linearly. Strong association Correct Answer when data points are close to forming a clear, linear line up or down. When the height of a triangle is tripled Correct Answer the area is tripled. To find how much the area of a polygon has changed when a certain element is multiplied by a coefficient Correct Answer the goal is to move the number out to the front of the variables. To solve these problems backwards Correct Answer get the percent changed number out in front, and then look at it like x(Old Volume) = New Volume. Review the: last question in chapter 5 of college panda. Correct Answer (a+b)^2 Correct Answer a^2 + 2ab + b^ (a-b)^2 Correct Answer a^2 - 2ab + b^ a^2 - b^2 Correct Answer (a + b)(a - b) The margin of error turns a specific percentage into Correct Answer a range of percent values centered around that specific percentage. To find the range, we
subtract the margin of error from the estimate to find the minimum and add the margin of error to the estimate to find the maximum. When percentage of certainty decreases Correct Answer that means the estimated range has increased. When y's and #'s are equal Correct Answer there is 1 solution to the two lines. When x's and y's are equal Correct Answer There are no solutions. When x's, y's, and #'s are equal Correct Answer There are infinite solutions. When multiplying both sides: Correct Answer wrap it in parenthesis to make sure you get the right answer. When dealing with simplifying square roots: Correct Answer wrap it in parenthesis to make sure you get the right answer. When dealing with simplifying through division: Correct Answer wrap it in parenthesis to make sure you get the right answer. x^2 = 25: Correct Answer has TWO SOLUTIONS, but only when you're using the square root synthetically to solve an equation.
For functions f(x) = etc. Correct Answer always, always, always wrap the input value in parenthesis. (2x)^2 is different from 2x^2. Anytime f(x) is used in a graphing equation Correct Answer think of it as the y in the graph. If f(x) > 0: Correct Answer y is always positive. Root of a quadratic equation Correct Answer : where f(x) = 0 Quadratic lines cross the x-axis: Correct Answer at the roots. The x-coordinate of a vertex: Correct Answer is the midpoint between two roots. Vertex form: Correct Answer y = a(x - h)^2 + k Vertex is found: Correct Answer by looking at h, k. Discriminant: Correct Answer b^2 - 4ac Discriminant > 0: Correct Answer There are two real roots. Discriminant = 0: Correct Answer There is one real root. Discriminant < 0: Correct Answer There are no real roots.
To find the "minimum" of an equation Correct Answer Find the vertext of the parabola. x = - b / 2a Correct Answer Gives the x-coordinate of a vertex. For triangles to be similar Correct Answer They must have equal angles. To find a number of real solutions Correct Answer use discriminant (b^2 - 4ac) Equation of a circle Correct Answer (x - t)^2 + (y - h)^2 = r^2 (t, h) is the center. r is the radius. If 10 + x is more than 10, what is the value of 2x? Correct Answer 10 The result when a number is divided by 2 is equal to the result when that same number is divided by 4. What is that number? Correct Answer 0 In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price with an additional discount of 10 percent off the sale price? Correct Answer $ If the function of (f) is defined by f(x)=3x+4, then 2f(x)+4= Correct Answer 6x+
