Solving Equations by Factoring Zero-Factor Property If two numbers have a product of 0, then at least one of the numbers must be 0. That is, if ab =…
Tag: EQUATIONS
Solving Absolute Value Equations and Inequalities
Solving Absolute Value Equations and Inequalities Let k be a positive real number, and p and q be real numbers. 1. To solve │ ax + b│=k, solve…
Write equations from given information
Write equations from given information The symbol for equality, =, is often indicated by the word is. In fact, any words that indicate the idea of “sameness” translate to =.…
Identify conditional equations, contradictions, and identities
Identify conditional equations, contradictions, and identities All of the preceding equations had solution sets containing one element; for example, 2(k – 5) + 3k = k + 6 has…
Solve linear equations with fractions or decimals
Solve linear equations with fractions or decimals When fractions or decimals appear as coefficients in equations, our work can be made easier if we multiply each side of…
Solve linear equations using the addition and multiplication
Solve linear equations using the addition and multiplication properties of equality. Two important properties that are used in producing equivalent equations are the addition property of equality and the…
Equations with Two Radical Terms
Equations with Two Radical Terms A general strategy for solving radical equations, including those with two radical terms, is as follows. SOLVING RADICAL EQUATIONS To solve radical equations: a.…
Solving Radical Equations
SOLVING RADICAL EQUATIONS The Principle of Powers A radical equation has variables in one or more radicands—for example, + 1 = 5, + = 7. To solve such an equation,…
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Factoring Second-degree equation like x2 + x – 156 = 0 and 9 – x2 = 0 are examples of quadratic equations. QUADEATIC EQUATION…
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