26-27 Lesson 1-1 Variables and Expressions

Open Ended

What are some terms you know that have to do with math?

Multiple Choice

Why is it important to understand variables and expressions when learning algebra?

• Because they help us solve equations

• Because they are the foundation of algebraic language

• Because they make math more complicated

• Because they are only used in advanced math

Multiple Select

Which of the following are components of the expression 4x + 7?

• Coefficient

• Variable

• Operator

• Exponent

• Equation

• Two terms

• Three terms

Categorize

Options (9)

$$0.10d+4$$  

$$g$$  

$$15$$  

$$p+q=c$$  

$$x$$  

$$4cd\div3mn$$  

$$537$$  

$$m$$  

$$\frac{2}{3}$$  

Sort the given responses into the column that best describes them.

Expression

Variable

Constant

None

Multiple Choice

Which of the following best describes a variable in algebra?

• A number that stands alone and never changes

• A symbol used to represent an unknown number

• A collection of numbers, variables, and operations

• A symbol that always has a fixed value

Dropdown

In the expression 4x + 7, the number attached to the variable is called the

Select answer

​ ​ ​ ​

Multiple Select

Which English phrases from the table translate to subtraction in algebraic expressions?

• A number n plus 5

• The sum of x and 10

• 7 less than y

• The difference of k and 3

Multiple Choice

Which of the following is the correct algebraic expression for '10 less than x'?

• 10 - x

• x - 10

• x + 10

• 10 + x

Match

Match the following

• The difference between a number and 5

• The difference between 5 and a number

• The product of a number and 5

• The quotient of a number and 5

• The quotient of 5 and a number

n-5

5-n

5n

n/5

5/n

• n-5

• 5-n

• 5n

• n/5

• 5/n

Match

Match the following word problems with their correct operation.

• Multiplication

  $$\times$$

• Division

  $$\div$$

• Addition

  $$+$$

• Subtraction

  $$-$$

A dog eats 3.5 cups of food every day. How many cups of dog food does the dog eat in 14 days?

A bakery has 408 eggs in its kitchen. How many dozen does the bakery have?

The population of Omaha is 936 and Naples is 1,391. What is the population of both cities?

One book is 1,927 pages and another is 745. How much longer is one book than the other?

• A dog eats 3.5 cups of food every day. How many cups of dog food does the dog eat in 14 days?

• A bakery has 408 eggs in its kitchen. How many dozen does the bakery have?

• The population of Omaha is 936 and Naples is 1,391. What is the population of both cities?

• One book is 1,927 pages and another is 745. How much longer is one book than the other?

Math Response

Translate the phrase 'one half of a plus the quotient of 6 times b and 7' into an algebraic expression: ___

Type answer here

Correct Answer: \frac{1}{2}a+\frac{6b}{7}

Deg^°

Rad

Open Ended

What is the difference between 2x and x²?

Multiple Choice

What is the difference between an expression and an equation as described in the lesson?

• An expression always has an equals sign, while an equation does not.

• An equation represents a total or result, while an expression does not.

• An expression is always a number, while an equation is always a variable.

• An equation cannot be represented visually, while an expression can.

Multiple Choice

What is the main purpose of learning to translate verbal descriptions into linear math in Algebra?

• To solve equations faster

• To understand mathematical language

• To memorize formulas

• To improve handwriting

Open Ended

EXIT TICKET:

Write an algebraic expression that has 5 terms, utilizes addition, subtraction, multiplication, and division and contains at least one exponent.