Exploring Linear Functions in Algebra 1

What is the formula for direct variation?

• y = k + x

• y = x/k

• y = kx

• y = mx + b

If y varies directly with x and y = 10 when x = 2, what is the constant of proportionality (k)?

• 2

• 20

• 10

• 5

What is the slope of a line parallel to y = 3x + 7?

• 3

• -1/3

• -3

• 1/3

What is the slope of a line perpendicular to y = -4x + 2?

• -4

• 1/4

• -1/4

• 4

In the transformation f(x) = 2f(x), what does the factor 2 represent?

• Horizontal shift

• Change in y-intercept

• Vertical shift

• Change in slope

What does the transformation f(x - 3) represent?

• Shift left by 3 units

• Shift right by 3 units

• Shift up by 3 units

• Shift down by 3 units

Which formula is used to find the nth term in an arithmetic sequence when the previous term is known?

• Explicit formula

• Quadratic formula

• Recursive formula

• Linear formula

What is the common difference in the arithmetic sequence 2, 5, 8, 11?

• 5

• 3

• 8

• 2

What does a correlation coefficient (r) close to 1 indicate?

• Weak positive correlation

• Weak negative correlation

• Strong negative correlation

• Strong positive correlation

If the correlation coefficient (r) is -0.9, what type of correlation is it?

• Weak negative

• Strong negative

• Weak positive

• Strong positive