Algebra I: Translating Sentences into Equations (Level 1 of 2)

The video tutorial explains how to translate word sentences into algebraic equations. It emphasizes identifying key words like 'is', 'more', 'less', and 'of' to determine operations and the presence of an equal sign. Several examples are provided to illustrate translating sentences into equations, highlighting the importance of order in operations like subtraction and the use of grouping symbols. The tutorial also covers scenarios where the equal sign appears first and equations with variables on both sides.

What is the key phrase that indicates an equation in a word sentence?

• More than

• Less than

• Is

• Of

How would you translate '50 decreased by a number is 20' into an equation?

• n + 50 = 20

• 50 - n = 20

• n - 50 = 20

• 50 + n = 20

In the expression '7 less than a number is 12', what is the correct equation?

• 7 + n = 12

• n - 7 = 12

• 7 - n = 12

• n + 7 = 12

How do you express 'The sum of one third of a number and 10 is 30' as an equation?

• Both A and B

• 1/3(n + 10) = 30

• 10 + 1/3n = 30

• 1/3n + 10 = 30

What is the correct equation for 'A third of the sum of a number and 10 is 30'?

• 1/3(n + 10) = 30

• 10 + 1/3n = 30

• 1/3n + 10 = 30

• n + 1/3(10) = 30

How would you write 'Three is 10 more than five times a number' as an equation?

• 3 = 10 + 5n

• All of the above

• 3 = 5n + 10

• 10 + 5n = 3

Translate 'Twice a number is 10 more than a number' into an equation.

• 2n = 10 + n

• n = 10 + 2n

• 2n + 10 = n

• n + 10 = 2n