Algebraic Expressions with Models

How is the following expression written algebraically?

The product of four and the sum of five and a number

• 4n + 5

• 4(n + 5)

• (4n) + 5

• 4 + n * 5

How is the following expression best modeled?

3(n - 2)

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Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m

• 8m - 4

• 8m + 4

• 4m - 8

Question 11

• 2x – 5

• 4x – 3

• 2x – 3

• 4x – 5

Which algebraic EXPRESSION represents the Expression Mat above?

Look at the model. Which of the following algebraic expressions could it represent?

• 3x - 2 - 1 + 6

• 3x - 2 - 1 + 6x

• 3x - 2 - x + 6x

• 3x + 2x - x - 6

Cheryl gets paid $8 per hour at her job at the record store.  She made a total of $96 last week.  Write a multiplication equation to show how many hours she worked last week.

• 96h = 8

• h/96 = 8

• 8h = 96

• h/8 = 96

I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?

• 200 + 50x

• 200x + 50

• 200 + x + 50

• 12x(50 + 200)

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40