Mathematical Problem Solving Techniques

This video tutorial covers a review of the Keystone exam, focusing on various mathematical concepts. It begins with an introduction to the exam review process, followed by sections on finding the greatest common factor, simplifying expressions, solving a fruit drink problem, subtracting polynomials, calculating savings, understanding the commutative property, calculating commission, and determining ticket prices using intersection points. Each section provides detailed explanations and examples to help students understand and apply these concepts effectively.

What is the greatest common factor of the monomials x^4y^8 and x^6y^4?

• x^6y^8

• x^4y^4

• x^6y^4

• x^4y^8

When simplifying the expression with a cube root, what should the exponents be divided by?

• 5

• 4

• 3

• 2

If John buys drinks costing between $2 and $4 each and spends $36.54, how many drinks could he have bought?

• 19

• 9

• 6

• 12

When subtracting polynomials, what must be done to the signs of the second polynomial?

• Ignore them

• Double them

• Change them

• Keep them the same

Kaden wants to save $600 in 12 months. If he starts with $84, what equation helps find his monthly deposit?

• 12x + 600 = 84

• x + 84 = 600

• 12x = 600

• 12x + 84 = 600

What property is used when rearranging terms on the same side of an equation?

• Associative

• Identity

• Commutative

• Distributive

Fernando earns $120 base pay and 25% commission. If he sells $225 worth of clothing, what is his total pay?

• $345

• $120

• $225

• $176.25

In the graph, what does the intersection point (4, 3) represent in terms of ticket prices?

• $4 for student, $3 for adult

• $3 for student, $4 for adult

• $4 for both

• $3 for both