Expressions and Variables in Algebra

This video tutorial covers the process of translating verbal phrases into algebraic expressions. It begins with an introduction to algebraic expressions and the importance of defining variables. The tutorial provides examples of simple expressions and progresses to more complex two-step expressions. Practical application problems are also discussed, demonstrating how to use algebraic expressions to solve real-world scenarios.

What is the first step in writing algebraic expressions from verbal phrases?

• Solve the expression

• Translate the phrase into numbers

• Describe the situation using important words

• Choose a variable

What should you do after choosing a variable in algebraic expressions?

• Decide what the variable represents

• Add numbers to the variable

• Describe the situation

• Solve the expression

If Ryan earned an unknown amount, represented by x, what is the expression for $8 more than Ryan earned?

• x - 8

• 8x

• x + 8

• 8 - x

What is the expression for $10 less than the original price, represented by N?

• 10N

• N + 10

• 10 - N

• N - 10

How would you express four times the number of gallons, represented by G?

• 4 + G

• G/4

• G - 4

• 4G

If B represents the Bulls' score, what is the expression for four points fewer than the Bulls scored?

• B + 4

• B - 4

• 4B

• B/4

What is the expression for 12 times the number of feet, represented by F?

• 12 + F

• F - 12

• 12F

• F/12

If S represents the cost of a shirt, what is the expression for the total cost of a shirt and an $8 pair of socks?

• 8S

• S/8

• S + 8

• S - 8

What is a two-step expression?

• An expression with one operation

• An expression with only numbers

• An expression with two different operations

• An expression with no variables

If P represents the number of points, what is the expression for 5 less than three times the number of points?

• 3P - 5

• 5 - 3P

• 3P + 5

• 5P - 3