Solutions to Linear Functions and Inequalities

What function is defined by f(x) = mx + b, where m is the slope and b is the y-intercept, m and b ∈ ℜ?

• Constant Function

• Linear Function

• Quadratic Function

• Cubic Function

Which of the following is a linear inequality in two variables?

• 4x − 5 > 9

• x + 4y = 7

• 2x − 3y ≥ 10

• 6 + 7y < 11

It indicates that the points are part of the solutions of the inequality.

• Dotted Line

• Broken line

• Dashed Line

• Solid Line

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

The ordered pair (a)   is in the solution set of 8x+16y>32.

• (-3, 5)

• (0, 2)

• (-1, 1)

• (4, 0)

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

Which of the following is a system of linear inequalities in two variables?

• 3m + 2n ≤ 4

  4m – 3n ≥ 10

• 4a - 3b =5

  a + 2b = 7

• 3x ≥ 16

  y ≥ 15

• 7c + 3d < 8

  5c – 7 = 10

Which of the following situation DOES NOT illustrate x + y ≤ 7?

• The sum of two numbers is not greater than seven.

• The sum of two numbers is less than seven.

• The sum of two numbers is not more than seven.

• The sum of two numbers is at most seven.

Which of the following is a graph of a system of linear inequalities in two variables?

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