4. Equations & Inequalities

Consider the following word statement.

The sum of a number and $7$7 is $17$17.

a

Write the word statement as an equation.

Use $x$`x` as the variable.

b

Find the solution of the equation from the set {$2$2, $4$4, $6$6, $8$8, $10$10}.

Easy

Approx a minute

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Use variables to represent quantities in a real-world or mathematical problem, and construct simple 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 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.