By The Organic Chemistry Tutor ☑️ #math #algebra #equations #functions
In this article by The Organic Chemistry Tutor, we will focus on the math section of the SAT and go over six key lessons to help you succeed. We will start with algebra, including solving equations and evaluating functions, and then move on to other topics such as converting sentences into equations and solving word problems.
Lesson 1: Solving Equations and Evaluating Functions in Algebra
One key concept to understand is factoring in algebra. This lesson will cover the basics you need to know and work on multiple-choice problems.
Exponents
– You can multiply exponents with common bases by adding the exponents.
– For example, x^3 * x^4 = x^7.
– When dividing one base by another with a common base, you subtract the exponents.
– For example, 9^2 / 9^7 = 9^-5.
Radical Notation
– You can convert a fractional exponent into radical notation.
– For example, x^(5/3) can be written as the cube root of x^5.
– Likewise, x^(9/7) can be written as the seventh root of x^9.
Evaluating Exponents and Roots
– To evaluate an exponent, such as 4^3, you find the number that when multiplied by itself three times equals 4^3 (in this case, 4 4 4 = 64).
– To simplify a fractional exponent, such as 8^(5/3), you need to find the number that, when raised to the cube of the denominator (in this case, 3), equals 8^(5/3) (in this case, 2 2 2 2 2 * 2 = 32).
Lesson 2: Converting Sentences into Equations and Solving Word Problems
In this lesson, we will focus on ratios, proportions, and probability.
Lesson 3: Ratios, Proportions, and Probability
This lesson will cover ratios, proportions, and probability. These are important topics to know for the SAT math section. Work on solving multiple-choice problems to solidify your understanding.
Lesson 4: Averages, Fractions, and Percentages
In this lesson, we will cover averages, fractions, and percentages. These topics are commonly tested in the math section of the SAT. Work on solving problems and understanding the concepts.
Lesson 5: Graphs and Functions
This lesson will cover linear, quadratic, and absolute value functions, as well as slope and arithmetic and geometric sequences. These topics are important to know for the SAT math section.
Lesson 6: Review of Geometry Concepts
In this lesson, we will review important topics and concepts in geometry that you need to know for the SAT math section. We will start with a review of equations and work through a series of multiple-choice problems. Before looking at the solutions, make sure to pause the video and try to solve the problems on your own. Check your answers before unpausing the video to watch the solutions. This is the best way to get the full benefit of the video.
Let’s begin the review of important topics and concepts you need to know for the math section of the SAT.
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