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A knowledge of solving linear and quadratic equations is a prerequisite to A super common question is the difference between expressions and equations. Then write an inequality that represents the problem. Specifically, they used rational equations to model and solve some application problems and further developed their skills in working with rational expressions. b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. What is Included: This resource includes 40 task cards, a student answer Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. It starts with an example that you can do together as a class, which walks the student through solving a two-step word problem. Students can present the problems to the teacher, who will facilitate class participation in solving the rational number problem. 8th Grade Unit 2 Information Exponents & Equations > Problem Solving Practice Multiplying and Dividing Solve linear equations with rational number Solves for cubic equations in the form ax 3 + bx 2 + cx + d = 0 using the following methods: 1) Solve the long way for all 3 roots and the discriminant Δ 2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable. When solving rational equations, beware of extraneous solutions, solutions derived that don’t satisfy the original equation. I passed out these 6 balanced scale problems to my students. Set up the rational expression with the same denominator over the entire equation. Solve advanced rational equations with multiple expressions. Step 1:: Eliminate all fractions. Mixed Problem Types Solving Multi-Step Equations. 4) Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. solving rational equations word problems practice