ALM Final S1

Which of the following is the explicit formula for the arithmetic sequence where the first term is 5 and the common difference is 3?

• ( a_n = 3n + 2 )

• ( a_n = 5 + 3(n - 1) )

• ( a_n = 5n + 3 )

• ( a_n = 8 + 3n )

What is the slope of the linear function represented by the equation ( y = 4x + 2 )?

• 4

• 2

• -4

• 0

If a linear function has a domain of [-2, 3] and a range of [1, 7] , what is the set notation for the domain?

• (-2, 3)

• { x | -2 ≤ x ≤ 3

• [-2, 3)

• { x | x 50

What is the correct shading for the inequality x + y > 4 on a graph?

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Which of the following represents the general form of an arithmetic sequence?

• a_n = a1 + (n-1)d

• a_n = a1 ⋅r^n-1

• a_n = n² + n

• a_n = a₁ + nd

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the seventh term?

• 20

• 24

• 26

• 32

Which of the following graphs best represents a linear function?

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In the context of linear functions, what do the terms "slope" and "y-intercept" represent?

• The slope represents the initial value, and the y-intercept represents how the function changes.

• The slope indicates the steepness of the line, while the y-intercept indicates where the line crosses the y-axis.

• The slope is the value of the function at its maximum, and the y-intercept is the value at its minimum.

• The slope and y-intercept both represent the same point on the graph.

When comparing linear and nonlinear functions, which of the following statements is true?

• Linear functions can be represented by a quadratic equation.

• Nonlinear functions always increase at a constant rate.

• Linear functions have a constant rate of change, while nonlinear functions do not.

Which of the following represents the solution set for the inequality (2x + 3y < 6)?

• (0,0)

• (0,2)

• (4,2)

• (0,4)