Podcast
Questions and Answers
Which of the following is the correct formula to convert °C to °F?
Which of the following is the correct formula to convert °C to °F?
- F = (C + 32)
- F = (C * 1.8) + 32 (correct)
- F = (C - 32)
- F = (C / 1.8) + 32
If Antonio can drive home after working less than 7 hours or after working more than 9 hours, how can this be written as a single compound inequality?
If Antonio can drive home after working less than 7 hours or after working more than 9 hours, how can this be written as a single compound inequality?
- 7 > h > 9
- h > 7 or h < 9
- 7 < h < 9
- h < 7 or h > 9 (correct)
Which number line represents the solutions to the equation –2|x| = –6?
Which number line represents the solutions to the equation –2|x| = –6?
- Number line D
- Number line A (correct)
- Number line B
- Number line C
Which explains whether Johan's solutions for the equation –2|8 – x| – 6 = –12 are correct?
Which explains whether Johan's solutions for the equation –2|8 – x| – 6 = –12 are correct?
What is the result of converting 50°C to °F?
What is the result of converting 50°C to °F?
Which situation could be represented by the graph?
Which situation could be represented by the graph?
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h?
Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h?
The tables represent the functions f(x) and g(x). Which input value produces the same output value for the two functions?
The tables represent the functions f(x) and g(x). Which input value produces the same output value for the two functions?
Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?
Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?
Which expression represents the conversion of 20°F to °C?
Which expression represents the conversion of 20°F to °C?
What is the compound inequality that represents Antonio driving home after working less than 7 hours or after working more than 9 hours?
What is the compound inequality that represents Antonio driving home after working less than 7 hours or after working more than 9 hours?
Which number line represents the solutions to the equation |2x| = -6?
Which number line represents the solutions to the equation |2x| = -6?
The equation -3|x - 4| - 5 = -2 has how many possible solutions?
The equation -3|x - 4| - 5 = -2 has how many possible solutions?
Which situation could be represented by the graph?
Which situation could be represented by the graph?
What is the equivalent compound inequality for the statement 'z is greater than -3 or less than or equal to 5'?
What is the equivalent compound inequality for the statement 'z is greater than -3 or less than or equal to 5'?
What is the solution to the equation –9x + 1 = –x + 17?
What is the solution to the equation –9x + 1 = –x + 17?
What is the value of y in the equation y + 3 = –y + 9?
What is the value of y in the equation y + 3 = –y + 9?
What is the solution to the inequality 2(4x – 3) ≥ –3(3x) + 5x?
What is the solution to the inequality 2(4x – 3) ≥ –3(3x) + 5x?
What is the value of n in the equation n = 0?
What is the value of n in the equation n = 0?
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
In the equation p = 0.7(rh + b), what is an equivalent equation solved for h?
In the equation p = 0.7(rh + b), what is an equivalent equation solved for h?
In the functions f(x) and g(x), which input value produces the same output value for the two functions?
In the functions f(x) and g(x), which input value produces the same output value for the two functions?
Which step in Deepak's solution to the equation –3x – 5 + 4x = – is incorrect?
Which step in Deepak's solution to the equation –3x – 5 + 4x = – is incorrect?
Lily begins solving the equation: 4(x – 1) – x = 3(x + 5) – 11. How can her partial solution be interpreted?
Lily begins solving the equation: 4(x – 1) – x = 3(x + 5) – 11. How can her partial solution be interpreted?
'Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.' Which of the following is another correct form of the given equation?
'Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.' Which of the following is another correct form of the given equation?
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Study Notes
Temperature Conversion
- The correct formula to convert °C to °F is °F = (°C × 9/5) + 32.
- 50°C is equivalent to 122°F.
Inequalities
- Antonio can drive home after working less than 7 hours or after working more than 9 hours, which can be represented as a single compound inequality: x < 7 or x > 9.
- The equivalent compound inequality for the statement 'z is greater than -3 or less than or equal to 5' is z > -3 or z ≤ 5.
Absolute Value Equations
- The equation –2|x| = –6 has no solutions.
- The equation |2x| = –6 has no solutions.
- The equation –3|x - 4| - 5 = –2 has two possible solutions.
Functions
- Anastasia's equation p = 0.7(rh + b) can be solved for h as h = (p - 0.7b)/0.7r.
- The input value that produces the same output value for the functions f(x) and g(x) is x = 2.
Solving Equations
- A correct first step in solving the inequality –4(3 – 5x) ≥ –6x + 9 is to distribute the –4 to the terms inside the parentheses.
- The solution to the equation –9x + 1 = –x + 17 is x = 2.
- The solution to the equation y + 3 = –y + 9 is y = 3.
- The solution to the inequality 2(4x – 3) ≥ –3(3x) + 5x is x ≥ 3/2.
Miscellaneous
- Deepak's solution to the equation –3x – 5 + 4x = – has an incorrect instruction in the step where he adds 5 to both sides.
- Lily's partial solution to the equation 4(x – 1) – x = 3(x + 5) – 11 can be interpreted as simplifying the left side to 3x – 4 = 3x + 10, which is incorrect.
- Anastasia's equation p = 0.7(rh + b) can be rewritten as p/0.7 = rh + b, which is another correct form of the given equation.
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