Intro to Algebraic Expressions

From Numerical Expressions to Algebraic Expressions

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What is a Numerical Expression?

Multiple Choice

Barrett earns $25 and spends $12.

Then he earns $15 more dollars.

Which of the following expressions correctly

represents this real-life situation?

• $12 + $15 - $25

• $25 - $12 + $15

• $25 + $12 + $15

• $25 × $12 + $15

Multiple Choice

A parking lot has 6 rows of cars. Each row has 15 cars. If 3 cars left the parking lot, which expression shows the number of cars in the parking lot?

• 6 + (15 - 3)

• 6 x (15 - 3)

• (6 + 15) - 3

• (6 x 15) - 3

Multiple Choice

Jill got 32 pieces of candy for Halloween. She ate 8 pieces and then split the rest evenly into 4 bags. Which numerical expression shows how to find how many pieces went in each bag?

• (32+8)÷4

• (32−8)÷4

• (32−8)×4

• (32×8)−4

What if one of the numbers is unknown?

It is represented by a VARIABLE

What is a variable?

Multiple Choice

the difference of a number and six

• x + 6

• x - 6

• 6 - x

• x/6

Multiple Choice

Eight added to a number y.

• y + 8
• y - 8
• 8y
• 8/y

Multiple Choice

v + 13

• 13 more than a number v
• A number v more than 13
• The difference of a number v and 13
• 13 less than a number v

Multiple Choice

Which shows how to find the difference between 18 and 3?

• 18 x 3

• 18 + 3

• 18 -3

• $$18\ \div\ 3$$

Turn around words-Switch the order

• LESS THAN- the first number is subtracted from the second six less than eight~8-6

• MORE THAN-the first number is added to the second four more than two~ 2+4

Multiple Choice

Which show 2 more than 7?

• 2 + 7

• 2 x 7

• 7 + 2

Multiple Choice

4 less than a number

• 4/n

• 4+n

• n/4

• n-4

Multiple Choice

which shows 5 less than 9?

• 9 - 5

• 5 - 9

• 5 + 9

Multiplication

In algebra, you do not use the multiplication sign because it looks like the variable x. Instead, you use a dot or parentheses.
3(5+n)

Multiple Choice

Which shows how to find the product of 5 and 4?

• 5 * 4

• 5 + 4

• 5 - 4

• $$5\ \div4$$

Multiple Choice

Write an algebraic expression for:

the product of 5 and a number

• 5 + n

• n + 5

• $$5\cdot n$$

• 5/n

DIVISION

You may use the division sign, but it is often written as a fraction

Multiple Choice

the quotient of a number and 9

• n + 9

• n - 9

• 9n

• $$\frac{n}{9}$$