Category Archives: Pre-Algebra

Math Review of Applications of Percents

Overview Percents are based on the decimal system and have many useful applications in business, sales, and finance. Other applications of percents include percent increase and decrease. Estimating Percentages Many of the most useful applications of percents involve estimating and calculating percentages for sales tax and tips at a restaurant. Suppose the sales tax is […]

Math Review of Inequalities with More than One Step

Overview If an inequality contains more than one operation, it will take more than one step to solve it. Suppose that in order to solve an inequality, both multiplication and addition statements need to be undone by using the multiplicative and additive inverses. As with other inequalities that take one step, the variable will have […]

Math Review of Inequalities

Overview While equations are statements that two quantities are equal, inequalities state that quantities are not equal. One side of the expression might be greater than the other side, or one side of the expression may be less. Correct solutions for variables encompass more than one number. Inequalities Inequalities include symbols such as greater than […]

Math Review of Percents

Overview Percents are special types of ratios that compare the number to 100. Similar to any ratio, a percent can be expressed as a fraction. Since percents compare to 100, they can also be expressed in decimal form. Fractions to Percents Percent or the percent sign (%) means “per 100,” so 5% means the same […]

Math Review of Rates, Ratios, and Proportions

Overview A rate compares 2 quantities that have different types of units, such as kilometers per hour or miles per gallon. A ratio compares quantities with the same type of units by dividing the quantity in the numerator by the quantity in the denominator, as in a fraction. A proportion states that 2 ratios are […]

Math Review of One-Step Equations

Overview Some algebra equations can be solved with one step, using operations such as addition, subtraction, multiplication, and division. In order to solve them, use inverse operations so that the variable is on one side and real numbers are on the other side. Then, solve the problem with arithmetic. Balanced Equations An equation is solved […]