Unit 2 CUA Review

Simplify the expression.

 
[5 • 10 • (10 – 5) – 50] ÷ 4

Mathematical Equivalence

OFF

Imagine a group of five friends, each thinking of a number between 40 and 50. Here's what each of them came up with:

 

• Kyle, the jokester of the group, thought of 41.

• Brooklynn, always trying to be different, chose 45.

• Catalina, the mathematician, picked 47.

• Madisyn, the artist, went with 44.

• Vivian, the dreamer, selected 49.

 

Can you figure out which two of these friends thought of a prime number?

• Kyle

• Brooklynn

• Catalina

• Madisyn

• Vivian

Imagine Tavion is a pirate who just found a treasure chest with $40 in it. After adding this to his treasure trove, he counted a total of $132 in his stash. Can you figure out how much treasure Tavion had before he added the $40?

• $132 - $40 = T

• T - $132 = 40

• $132 + 40 = T

• $40 - T = 132

Imagine this: Reina, a talented baker, whipped up 242 delicious cake pops and sold them for $5 each. She also baked 76 mouth-watering brownies and sold them for $3 each. All this effort was to raise money for new playground equipment. But wait, she had to spend $330 on baking supplies. The equation below represents the total money Reina was able to raise, m, after subtracting her expenses from her sales.
 

m = (5 × 242) + (3 × 76) – 330

 
Can you figure out how much money Reina collected for the playground equipment?

• $848

• $1,108

• $398

• $91,858

It's Karoline's birthday and she got a whopping $100 as a gift! She decided to celebrate by taking herself and two of her best friends to the movies. They watched a blockbuster and enjoyed some refreshing drinks.

Here's the breakdown:
     Each movie ticket was priced at $8.
     Each drink cost them $5.

Being a math whiz, Karoline quickly jotted down an equation to calculate m, the amount of money she would have left after this fun outing.
 

Here's her equation: m = 100 – [(3 × 8) + (3 × 5)]

Can you figure out how much money Karoline had left after her birthday movie outing?

• $39

• $61

• $51

• Not here

Imagine you are a secret agent and you've just received a coded message:
 

 [(5 • 4 – 2) ÷ 2] ÷ (31 – 27)
 

Your mission, should you choose to accept it, is to decode this message. Which of the following could be the first step in your decoding process?
 

• [(5 • 2) ÷ 2] ÷ (31 – 27)

• [5 • 4 – 1] ÷ 1 – 27)

• (5 • 4 – 2) ÷ (2 ÷ 4)

• [(20 – 2) ÷ 2] ÷ (31 – 27)

Imagine you're at Mrs. Gathright's bustling kitchen where she's preparing treats for the upcoming bake sale. She's made a whopping total of 10 dozen treats! Among them, 20 are delicious cupcakes and 50 are mouth-watering pies. The remaining treats are a mix of scrumptious brownies and cookies, in equal amounts.

Can you figure out the expression that shows Mrs. Gathright made 25 heavenly cookies? Let's solve this fun puzzle!

• 10 × 12 – 20 + 50 ÷ 2

• [10 × 12 – (20 + 50)] ÷ 2

• (10× 12 – 20 + 50) ÷ 2

• (10 × 12) – 20 + 50 ÷ 2

Imagine you are a secret agent and you've just received a coded message:

 

[(16 – 2 • 5) ÷ 2] ÷ (61 – 21)

 

Your mission, should you choose to accept it, is to decode this message. Which of these could be the first step in your decoding process?

• [(14 • 5) ÷ 2] ÷ (61 – 21)

• (16 – 2 • 2) ÷ (61 – 21)

• [(16 – 10) ÷ 2] ÷ (61 – 21)

• (8 – 2 • 5) ÷ (61 – 21)

Lucy has $50 in her piggy bank. She decided to buy a new book for $15 and a toy for $10. Can you calculate how much money Lucy has left after her shopping?

Here's her equation: m = 50 - (15 + 10)

Can you figure out how much money Lucy had left after her shopping?

• $25

• $35

• $15

• Not here

John is a collector who just found a rare coin worth $30. After adding this to his collection, he counted a total of $90 in his collection. Can you figure out how much his collection was worth before he added the $30?

• $90 - $30 = C

• C - $90 = 30

• $90 + 30 = C

• $30 - C = 90