In this video tutorial, Caitlin guides students through solving algebraic problems, focusing on understanding the impact of subtraction and parentheses in expressions. The video covers identifying and correcting errors in algebraic expressions, proving the equivalence of different expressions, and solving real-world problems using inequalities, such as budgeting for uniforms and managing charity donations.

What is the correct simplification of the expression 9x - 2x + 4x?

• 3x

• 11x

• 7x

• 5x

In the expression simplification, when does a minus sign affect more than one term?

• When it is followed by a variable

• When it is followed by a number

• When it is followed by parentheses

• When it is at the beginning of the expression

What was the error made in simplifying the expression involving negative numbers?

• Distributing incorrectly

• Combining terms incorrectly

• Ignoring the negative sign

• Adding instead of subtracting

What should have been done instead of combining 2x and 2x to make 0?

• Combine them to make -4x

• Leave them as separate terms

• Ignore them

• Combine them to make 4x

How can you prove that different expressions are equivalent?

• By changing all signs to positive

• By factoring and combining like terms

• By ignoring the variables

• By adding random numbers

What is the maximum cost per uniform if the total budget is $750 and competition fees are $300?

• $20

• $35

• $25

• $30

How many uniforms can be purchased if each costs $30 and the budget is $750?

• 10

• 25

• 15

• 20

What is the inequality representing the charity donation problem?

• 7(9 - x) ≥ 42

• 7(9 + x) ≥ 42

• 7(9 + x) ≤ 42

• 7(9 - x) ≤ 42

What is the maximum amount Elena can donate to charity per $9 earned to keep at least $42?

• $2

• $5

• $4

• $3

If Elena donates $3 per $9 earned, how much will she have left after 7 donations?

• $42

• $21

• $28

• $35