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6.2.5 – Writing and Solving Equations
Name: ________________________ Period:_______ Date:______
7.EE.4a. 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. For example, the perimeter of a rectangle
is 54 cm. Its length is 6 cm. What is its width?
6-105. Write an algebraic expression for each situation.
1. Three less than a number.
2. Nine more than three times a number.
3. Two less than five times a number
6-110. Solve the following equations using any method. Show your work and check your
solution.
1. 3x + 10 = 25
2. 5(x − 2) = 30
3. 2x − 9 = x + 7
6-105. Write an algebraic expression for each situation.
6.2.5 – Writing and Solving Equations
Name: ________________________ Period:_______ Date:______
7.EE.4a. 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. For example, the perimeter of a rectangle
is 54 cm. Its length is 6 cm. What is its width?
4. Three less than a number.
5. Nine more than three times a number.
6. Two less than five times a number
6-110. Solve the following equations using any method. Show your work and check your
solution.
4. 3x + 10 = 25
5. 5(x − 2) = 30
6. 2x − 9 = x + 7