Remainders and Function Patterns

The video tutorial covers four math problems, each focusing on different concepts. Problem 24 involves identifying flaws in a solution procedure for an equation. Problem 25 explores pattern recognition in geometric figures, specifically the number of squares added in a sequence. Problem 26 requires determining a function from a table of values, focusing on algebraic patterns. Finally, Problem 27 involves interpreting graphs to understand remainder functions when dividing whole numbers by 10.

What is a major flaw in the procedure of solving the equation -3x + 25 = 4?

• Confusing subtraction with addition

• Using the equal sign incorrectly

• Making an arithmetic error

• Reversing the order of operations

What should be done to both sides of the equation -3x + 25 = 4 to maintain equality?

• Add 25

• Subtract 25

• Multiply by 3

• Divide by 3

How many squares are added when moving from figure 99 to figure 100 in the pattern?

• 101

• 102

• 99

• 100

What is the pattern of square addition when moving from one figure to the next?

• n-1 squares

• 2n squares

• n+1 squares

• n squares

What is the function w in terms of x and y based on the table?

• w = 8y + 5x

• w = 8x + 5y

• w = 5y + 8x

• w = 5x + 8y

If x = 20 and y = 8, what is the value of w?

• 200

• 190

• 180

• 210

What is the remainder when 15 is divided by 10?

• 10

• 15

• 5

• 0

Which graph correctly represents the function r(x) for whole numbers divided by 10?

• Graph B

• Graph A

• Graph D

• Graph C

What is the remainder when 29 is divided by 10?

• 0

• 1

• 10

• 9

What is the remainder when 9 is divided by 10?

• 10

• 0

• 1

• 9