Linear equations - 8th grade math/algebra

Learn to use the distributive property to simplify expressions such as -3(2x - 5) and -(15a - 7y + 4) -- expressions that involve negative numbers. This is a necessary precursor before learning to solve linear equations in general. We also briefly look at factoring, which is the opposite process. Math Mammoth Grade 8 curriculum

Learn to use the distributive property to simplify expressions such as -3(2x - 5) and -(15a - 7y + 4) -- expressions that involve negative numbers. This is a necessary precursor before learning to solve linear equations in general. We also briefly look at factoring, which is the opposite process. Math Mammoth Grade 8 curriculum

I go through several word problems that involve a price increase, discount, and/or sales tax. Writing percentages as decimals is a life-saver when writing an equation for such situations. For example, if the initial price is p, and it is increased by 120%, then the new price is 1.2p. Math Mammoth Grade 8 Curriculum

I go through several word problems that involve a price increase, discount, and/or sales tax. Writing percentages as decimals is a life-saver when writing an equation for such situations. For example, if the initial price is p, and it is increased by 120%, then the new price is 1.2p. Math Mammoth Grade 8 Curriculum

We look at some special situations with linear equations and find that sometimes, an equation can end up (on the last line) to be 9 = 9. This is a case where the equation has an infinite number of solutions. Another example in the video will end up with the equation 5 = 6. This is a false equation and the original equation has no solutions. In a nutshell, there are three possible cases when it comes to a linear equation: it can have no solutions, one unique solution, or an infinite number of solutions. Then you, the viewer, get to practice too... by modifying a given equation so it has an infinite number of solutions. Math Mammoth Grade 8 curriculum

We look at some special situations with linear equations and find that sometimes, an equation can end up (on the last line) to be 9 = 9. This is a case where the equation has an infinite number of solutions. Another example in the video will end up with the equation 5 = 6. This is a false equation and the original equation has no solutions. In a nutshell, there are three possible cases when it comes to a linear equation: it can have no solutions, one unique solution, or an infinite number of solutions. Then you, the viewer, get to practice too... by modifying a given equation so it has an infinite number of solutions. Math Mammoth Grade 8 curriculum

Often, when using a formula, you need to solve it for a specific variable or unknown in it. As examples, we look at the formula for the area of a trapezoid and then the formula for simple interest.

Often, when using a formula, you need to solve it for a specific variable or unknown in it. As examples, we look at the formula for the area of a trapezoid and then the formula for simple interest.

Learn to solve linear equations that have fractional expressions! I go through three different examples in the video. The first one, we could multiply by the LCM of the denominators, but that equation is actually a proportion, so cross-multiplying works, too. For the others, we will use the general technique of multiplying both sides of the equation by the LCM of the denominator(s). Math Mammoth Grade 8 curriculum

Learn to solve linear equations that have fractional expressions! I go through three different examples in the video. The first one, we could multiply by the LCM of the denominators, but that equation is actually a proportion, so cross-multiplying works, too. For the others, we will use the general technique of multiplying both sides of the equation by the LCM of the denominator(s). Math Mammoth Grade 8 curriculum