Algebraic Expressions and Operations

The video tutorial explains how to translate verbal statements into algebraic expressions using the variable x. It covers two examples: one involving addition and the other multiplication. The first example translates 'the sum of a number increased by three and the number decreased by 20' into an algebraic expression. The second example translates 'the product of twice a number and seven more than five times a number' into an expression. The tutorial emphasizes understanding terms like 'sum' and 'product' and how they relate to algebraic operations.

What variable is used to represent the unknown number in the algebraic expressions?

• a

• x

• z

• y

Tags

CCSS.6.EE.A.2A

In the first example, what operation is indicated by the word 'sum'?

• Multiplication

• Subtraction

• Division

• Addition

Tags

CCSS.6.EE.A.2A

How is 'a number increased by three' represented in algebraic terms?

• x - 3

• x + 3

• 3x

• x/3

Tags

CCSS.6.EE.A.2A

What is the algebraic expression for 'the number decreased by 20'?

• x + 20

• x - 20

• 20 - x

• 20 + x

Tags

CCSS.7.EE.A.1

What does the expression 'x + 3 + x - 20' simplify to?

• 2x - 17

• x + 23

• 2x + 17

• x - 23

Tags

CCSS.7.EE.A.1

In the second example, what does the term 'product' refer to?

• Subtraction

• Addition

• Multiplication

• Division

Tags

CCSS.6.EE.A.2A

How is 'twice a number' expressed algebraically?

• 2 + x

• 2x

• x/2

• x - 2

Tags

CCSS.6.EE.A.2A

What is the expression for 'five times a number'?

• x/5

• 5x

• 5 + x

• x - 5

Tags

CCSS.6.EE.A.2A

How do you represent 'seven more than five times a number'?

• 5x + 7

• 7x + 5

• 7 - 5x

• 5 + 7x

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

What is the complete expression for 'the product of twice a number and seven more than five times a number'?

• 2x + 5x + 7

• 2x(5x + 7)

• 2(x + 5x + 7)

• 2x + 7(5x)

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2