Arithmetic Sequences and Relationships

This video tutorial reviews key concepts from chapter three, including standard form, linear and non-linear equations, intercepts, slope calculations, rate of change, direct variation, arithmetic sequences, and proportional relationships. The tutorial provides step-by-step solutions to problems, helping students understand and apply these mathematical concepts effectively.

What topics are covered in the chapter three test review?

• Geometry, algebra, calculus, physics

• Trigonometry, calculus, statistics, probability

• Quadratic equations, inequalities, matrices, vectors

• Standard form, zero slope, direct variation, arithmetic sequences, proportional relationships

How do you convert y - 6 = -8x to standard form?

• Add 6 to both sides and rearrange to 8x + y = 6

• Divide both sides by 8 and rearrange to y = x - 6

• Subtract 6 from both sides and rearrange to y = 8x + 6

• Multiply both sides by 8 and rearrange to y = 8x - 6

Which condition does NOT make an equation non-linear?

• A constant term

• X and Y being multiplied by each other

• A variable in the denominator

• An exponent on a variable

What is the x-intercept of the equation x - 4y = 8?

• x = 4

• x = 8

• x = -4

• x = -8

If no pepperoni pizzas are bought, how many plain pizzas can be purchased with $200?

• 20

• 25

• 30

• 35

How do you find the zero of a function?

• Set x to zero and solve for y

• Set the function equal to one

• Set y to zero and solve for x

• Set both x and y to zero

What is the slope of the line through the points (1, 1) and (-2, 8)?

• 2

• 3

• -2

• -3

What is the slope of a vertical line?

• Zero

• Positive

• Negative

• Undefined

What is the slope of a horizontal line?

• Zero

• Positive

• Negative

• Undefined

How do you find the slope from a table of values?

• Change in y over change in x

• Product of x and y values

• Sum of x and y values

• Change in x over change in y