Standard(s):
[MA2019] (6) 15 : 15. Write, read, and evaluate expressions in which letters represent numbers in real-world contexts.
a. Interpret a variable as an unknown value for any number in a specified set, depending on the context.
b. Write expressions to represent verbal statements and real-world scenarios.
c. Identify parts of an expression using mathematical terms such as sum, term, product, factor, quotient, and coefficient.
d. Evaluate expressions (which may include absolute value and whole number exponents) with respect to order of operations.
[MA2019] REG-7 (7) 9 : 9. Use variables to represent quantities in real-world or mathematical problems and construct algebraic expressions, equations, and inequalities to solve problems by reasoning about the quantities.
a. 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. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
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. Graph the solution set of the inequality, and interpret it in the context of the problem.
[MA2019] ACC-7 (7) 18 : 18. Use variables to represent quantities in a real-world or mathematical problem and construct algebraic expressions, equations, and inequalities to solve problems by reasoning about the quantities.
a. 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. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
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. Graph the solution set of the inequality and interpret it in the context of the problem.
[Grade 7, 9, and linear portion of Algebra I with Probability, 11]