The ability to construct proofs is not tested. triangles, including isosceles, equilateral and 30°-60°-90° triangles.coordinate geometry, including graphs of functions, equations and inequalities, intercepts and slopes of lines.setting up equations to solve word problems.
solving simultaneous equations and inequalities.solving linear and quadratic equations and inequalities.relations, functions, equations and inequalities.factoring and simplifying algebraic expressions.concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers.arithmetic operations, exponents and roots.properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers.The skills, concepts and abilities are assessed in the four content areas below. Many of the questions are "word problems," which must be translated and modeled mathematically. Absolute value extends into the concept of modulus for complex numbers.Some of the Quantitative Reasoning questions are posed in real-life settings, while others are posed in purely mathematical settings.The absolute value function is an example of a continuous but non-differentiable function (specifically at zero).Absolute value can be used in applications connecting algebra to geometry.If the absolute value expression is equal to a negative number there is no solution.Then the absolve value equation can be split into a "positive" equation and a "negative equation." Treat the absolute value as a variable, and isolate the absolute value first.Once the absolute value is isolated, the absolute value can you be though of under it's distance definition to increase efficiency.Absolute value represents distance, so | x − a | = c.Knowledge of the properties of equality and some experience with absolute value would help when performing this exercise. Solve the absolute value equation: This problem provides an absolute value equation and asks the student to find all solutions and write them in the space provided.There is one type of problem in this exercise: This exercise practices solving absolute value and recognizing how these are different from but related to linear equations. The Absolute value equations exercise appears under the Algebra I Math Mission and Mathematics II Math Mission.
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