Second Year Spring Mid Term Test

The graph on the co-ordinate diagram below shows the relationship between degrees Celsius (°C) and degrees Fahrenheit (°F). The axes do not start at (0, 0) in the diagram. What is the temperature in Fahrenheit when the temperature in Celsius is 32°C?

• 0°F

• 32°F

• 100°F

• 212°F

The table below gives two inequalities in T (a temperature in °C), and a description of two inequalities in T. Complete the table by filling in the missing description and inequality. Description: Temperature is between 36°C and 38°C Inequality: 36 < T < 38

Which of the following represents the inequality T < 36 on the number line, where T ∈ ℝ (T is a real number)?

• A number line with an open circle at 36 and shading to the left.

• A number line with a closed circle at 36 and shading to the left.

• A number line with an open circle at 36 and shading to the right.

• A number line with a closed circle at 36 and shading to the right.

Which of the following represents the inequality x ≥ -2 on a number line, where x ∈ ℤ?

• A number line with a closed dot at -2 and shading to the right.

• A number line with an open dot at -2 and shading to the right.

• A number line with a closed dot at -2 and shading to the left.

• A number line with an open dot at -2 and shading to the left.

Graph each of the following inequalities on the number line given. Note: x is an element of a different set (ℕ, ℤ, or ℝ) in each case. (b) x ≥ -2, where x ∈ ℕ.

• x = -2, -1, 0, 1, 2, ...

• x = 0, 1, 2, 3, ...

• x = -2, -1, 0, 1, 2

• x = -2, 0, 1, 2, 3, ...

Graph each of the following inequalities on the number line given. Note: x is an element of a different set (ℕ, ℤ, or ℝ) in each case. (c) x ≥ -2, where x ∈ ℝ.

• A number line with a closed circle at -2 and shading to the right.

• A number line with an open circle at -2 and shading to the right.

• A number line with a closed circle at -2 and shading to the left.

• A number line with an open circle at -2 and shading to the left.

• a whole number that can be positive, negative, or zero

• a fraction or decimal

• a complex number

• a number with a fractional part

Solve the inequality -7 + 2x <= 1, where x in Z.

• x <= 4

• x >= 4

• x <= -3

• x >= -3

Graph your solution to (b)(i) on the number line given below.

• The solution is graphed correctly on the number line.

• The solution is not graphed correctly on the number line.

Hugo rounded 89,267 to the nearest 10. What is Hugo’s estimate of the attendance?

• 89,260

• 89,270

• 89,300

• 89,200