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6.03 Problem solving with equations

Adaptive
Worksheet

Interactive practice questions

Without simplifying or solving, rewrite the sentence below as an equation. Let the variable $x$x represent the number.

"five less than $2$2 times a number gives $3$3."

Easy
< 1min

The sum of $8$8 and $12x$12x is equal to $92$92.

By constructing an equation, find the value of $x$x.

Easy
1min

Consider the following word statement.

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

Easy
1min

John and Uther do some fundraising for their sporting team. Together they raised $403$403 dollars. If John raised $m$m dollars, and Uther raised $71$71 dollars:

Medium
1min
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Outcomes

7.EE.B.4

Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7.EE.B.4.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.

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