Inequalities and Algebraic Expressions

Julie Harland, known as 'your math gal', guides viewers through translating sentences into algebraic equations and inequalities. She explains the role of verbs like 'is' in identifying equations and inequalities, and demonstrates how to define variables. The video includes examples and practice exercises to reinforce learning.

What is the key word that often indicates the presence of an equation in a sentence?

• and

• is

• or

• but

How would you represent '7 less than a number is 10' as an equation?

• n + 7 = 10

• n - 7 = 10

• 7 - n = 10

• n = 7 - 10

In the equation '5 more than a number is twice a number', what does 'twice a number' mean?

• n - 2

• 2n

• n + 2

• n/2

Which symbol represents 'not equal to' in algebraic expressions?

• <

• ≠

• >

• =

How would you write 'the sum of a number and 8 is less than 14' as an inequality?

• n + 8 = 14

• n - 8 < 14

• n + 8 < 14

• n + 8 > 14

What does the inequality symbol '>' represent?

• Not equal to

• Greater than

• Less than

• Equal to

In the problem '4 decreased by twice a number is 1 more than the number', how is 'twice a number' represented?

• n - 2

• n + 2

• n/2

• 2n

How would you express '3 times a number is greater than or equal to 9' as an inequality?

• 3n = 9

• 3n ≥ 9

• 3n < 9

• 3n > 9

What is the correct representation of '4 decreased by twice a number'?

• 2n + 4

• 4 - 2n

• 2n - 4

• 4 + 2n

Which of the following is an example of an inequality?

• n + 5 = 10

• n - 3 > 7

• n = 2n

• n + 4 = 8