Translating and Simplifying
Expressions
Solving Equations and Equations Word Problems
Expressions with
Area Models
Solving Inequalities and Inequalities
Word Problems
Equations Challenge
200

Santa is preparing toy bags. Simplify the expression that represents the number of toys packed:

−10n+3(8+8n)

What is 14n + 24? 

200

Santa packs gift bags. The sum of a number, n, and 8 is multiplied by –4, and the result is –12.
What is the number of toys in each bag?

What is -5?

200

The expression 4x + 8 when measuring the perimeter of a holiday banner with a length of 2x + 1 and a width of 3.

 

What is true? 

200

Karen is visiting a Christmas Winter Festival.

  • Admission costs $9.50

  • Each ride costs $2.25

  • Karen can spend at most $50

Write an inequality can be used to solve for x, the number of rides Karen can go on.


What is 9.50 + 2.25x ≤ 50?

200

5x−12=38

What is 10? 

400

Carson bids on a rare Christmas collectible online. If he wins at a price of p, he must also pay a 7.5% holiday tax and a 12% auction fee.

The expression   p+0.075p+0.12p

shows the total cost. What is the simplified, equivalent expression for this scenario? 

What is 1.195? 
400

Tykayla and Tyrone are decorating Christmas cards.

Tykayla says that if the cards shown were added together, they would be equivalent to 3x + 12.
Tyrone says that if added together, the cards would be equivalent to 3(x + 4).

Who is correct? Why?

What is both are correct? Tyrone’s answer is the factored form of Tykayla’s answer.

400

The expression 4x + 9 when measuring the perimeter of a holiday banner with a length of 2(x + 1) and a width of 3.

What is false? 

400

Karen is visiting a Christmas Winter Festival.

  • Admission costs $9.50

  • Each ride costs $2.25

  • Karen can spend at most $50

What is the maximum number of rides Karen can go on?


What is 18 rides? 

400

9x+15=3

 

What is -1 1/3?

600

Molly is saving money to buy Christmas presents. She already has $50. Each week she earns $12 wrapping gifts.

Write an expression that represents how much money she will have after w weeks. 

What is 50 + 12w?

600

Mr. Ridley is preparing holiday classroom gift bags. He has 4 boxes of candy canes and 7 single candy canes.
In all, he has 79 candy canes. How many candy canes are in each box?

What is 18?

600

The expression 4x + 8 when measuring the area of a holiday banner with a length of 2x + 1 and a width of 3.

What is false? 

600

Eli works at a holiday appliance store selling refrigerators.

  • Base pay: $250 per week

  • Commission: $50 per refrigerator (r)

  • Eli wants to make more than $900 this week

What inequality can be used to solve for r, the number of refrigerators Eli needs to sell?


What is 250 + 50r > 900?

600

3(x+7)=48

What is 9? 

800

Write the correct expression for the phrase:

“Five less than twice the number of ornaments.”

What is 2x - 5? 

800

A’Shiyah is shopping for a Christmas dinner. She buys two pounds of grapes, one can of cream of mushroom soup, and a dozen eggs.

  • Soup costs $2.69

  • Eggs cost $3.19

  • Total cost is $18.78

Write an equation that correctly represents the situation, and what does x represent?

What is 2.69 + 3.19 + x = 18.78; x represents the price of two pounds of grapes?

800

The expression 4x + 8 when measuring the perimeter of a holiday banner with a length of x + 1 and a width of x + 3.

What is true? 

800

Eli works at a holiday appliance store selling refrigerators.

  • Base pay: $250 per week

  • Commission: $50 per refrigerator (r)

  • Eli wants to make more than $900 this week

How many refrigerators does Eli need to sell to reach his goal?


What is more than 13 refrigerators? 

800

4(x−5)+6=30

What is 1? 

1000

Write the correct expression for the phrase:

“Twice the difference between the number of elves and five.”

What is 2(x - 5)?

1000

A holiday cleaning service charges a $45 service fee plus an hourly rate to steam-clean carpets.

If the total charge was $360 and the job took 5 hours, what is the hourly charge?

What is $63? 

1000

The expression when measuring the perimeter of a holiday banner with a length of 22x + 21 and a width of 32.

What is 44x + 106? 

1000

Trisha sells Christmas gift baskets and holiday roses at her shop.

  • Gift baskets sell for $20.00 each

  • Roses sell for $2.50 each

  • Trisha wants to earn at least $90.00 from selling one gift basket and some roses

What is the least number of roses Trisha needs to sell?


What is 28 roses? 

1000

(2x−10)/4=6

What is 17?