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4.04 Problem solving with equations

Interactive practice questions

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 $\left\{2,4,6,8,10\right\}${2,4,6,8,10}.

Easy
1min

Consider the following word statement:

Seven more than twice a number is $23$23.

Easy
1min

Consider the following word statement.

Fifteen minus three-fourths of a number is $9$9.

Easy
2min

Consider the following word statement.

Seven times a number is equal to $10$10 more than twice the number.

Easy
1min
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Outcomes

NY-7.EE.4

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.

NY-7.EE.4a

(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.

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