Podcast
Questions and Answers
Which of the following represents the situation where George gets paid $20 a day plus $0.05 for every flyer he distributes, wanting to earn at least $65 each day?
Which of the following represents the situation where George gets paid $20 a day plus $0.05 for every flyer he distributes, wanting to earn at least $65 each day?
- 20 + 0.05x < 65
- 20 + 0.05x ≥ 65 (correct)
- 20 + 0.05x = 65
- 20 + 0.05x > 65
Which graph represents the solutions of p + 1 < -1 or p - 5 > 7?
Which graph represents the solutions of p + 1 < -1 or p - 5 > 7?
- Starting point 0 is 0 points to 6 and starting point 0 is 10 points to 14
- Starting point 0 is 1 point to 5 and starting point 0 is 0 points to 10
- Starting point 0 is 8 points to 14 and starting point 0 is -1 points to -3
- Starting point 0 is -2 points to -6 and starting point 0 is 12 points to 16 (correct)
For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company, given their respective offers?
For what amount of sales s is the salary at XYZ Company greater than the salary at ABC Company, given their respective offers?
- s = 45,000
- s < 50,000
- s > 70,000 (correct)
- s ≤ 70,000
What is the solution to the equation 4/s = -2/9?
What is the solution to the equation 4/s = -2/9?
What grades can Paula get on the second test to maintain an average of 80 or more, given she scored 72 on her first test?
What grades can Paula get on the second test to maintain an average of 80 or more, given she scored 72 on her first test?
What is the equation of the line shown in the graph given the point (1.75, -5)?
What is the equation of the line shown in the graph given the point (1.75, -5)?
What is the solution to the inequality m - 8 ≤ 14?
What is the solution to the inequality m - 8 ≤ 14?
Graph the line with the slope of 1/2 and y-intercept of 3. What intercepts do you find?
Graph the line with the slope of 1/2 and y-intercept of 3. What intercepts do you find?
Which of the following relations is a function?
Which of the following relations is a function?
What is the simplified expression for (a cubed b) squared?
What is the simplified expression for (a cubed b) squared?
What is the simplified expression for the square root of 48/147?
What is the simplified expression for the square root of 48/147?
What is the formula for the resistance of a conductor with voltage V and current I, solved for V?
What is the formula for the resistance of a conductor with voltage V and current I, solved for V?
Which system of equations has no solution?
Which system of equations has no solution?
What is the missing value in the Venn diagram from the survey of 30 people regarding shirt colors?
What is the missing value in the Venn diagram from the survey of 30 people regarding shirt colors?
What is the distance between Kensington and Greenwich according to the map?
What is the distance between Kensington and Greenwich according to the map?
What is the commission earned on a sale of $4450 by a sales clerk earning a 3% commission?
What is the commission earned on a sale of $4450 by a sales clerk earning a 3% commission?
Given f(x) = x squared + 1 with domain {-2,-1,0,1,3}, what is the range R?
Given f(x) = x squared + 1 with domain {-2,-1,0,1,3}, what is the range R?
Solve the equation y + w - (3/4)z = 0 for z.
Solve the equation y + w - (3/4)z = 0 for z.
What is Gloria's normal hourly pay if she earns $489.85 for working 47 hours and earns 1.5 times her normal pay for the hours over 40?
What is Gloria's normal hourly pay if she earns $489.85 for working 47 hours and earns 1.5 times her normal pay for the hours over 40?
Tell whether the slope of the line is positive, negative, zero, or ______. (Line is parallel to y-axis on 2 of the x-axis).
Tell whether the slope of the line is positive, negative, zero, or ______. (Line is parallel to y-axis on 2 of the x-axis).
Study Notes
George's Earnings Scenario
- George's earning equation: ( 20 + 0.05x \geq 65 ), where ( x ) is the number of flyers distributed.
- Goal: Earn at least $65 daily.
Inequality Graphing
- For ( p + 1 < -1 ) or ( p - 5 > 7 ):
- Starting point for ( p + 1 < -1 ) corresponds to -2 and goes to -6.
- Starting point for ( p - 5 > 7 ) corresponds to 12 and goes to 16.
Salary Comparison
- ABC Company offers a salary of $45,000.
- XYZ Company offers $38,000 + 2% commission.
- Condition for sales ( s ): ( s > 70,000 ) for XYZ's salary to exceed ABC's.
Solving Equations
- From ( \frac{4}{s} = \frac{-2}{9} ), solved to get ( s = -18 ).
Average Test Scores
- Paula needs an average of 80 for a B in class.
- Scored 72 on the first test; requires at least 88 on the second test.
Equation of a Line
- The line passes through the point (1.75, -5).
- Equation of the line: ( y = 3x - 5 ).
Inequality Solution
- Solving ( m - 8 \leq 14 ) yields ( m \leq 2 ).
Graphing Lines
- A line with slope ( \frac{1}{2} ) and y-intercept of 3 crosses x-axis at negative value and y-axis at 3.
Identifying Functions
- The relation ( {(1,0), (-1,0), (2,1), (-2,1), (3,2), (-3,2)} ) qualifies as a function (each input has one output).
Simplifying Expressions
- Simplifying ( (a^3b)^2 ) gives ( a^6b^2 ).
- Simplifying ( \sqrt{\frac{48}{147}} ) results in ( \frac{4}{7} ).
Resistance Formula
- For the formula ( r = \frac{V}{I} ), solving for ( V ) gives ( V = Ir ).
Systems of Equations
- The system ( {y = x + 4, y - x = -4} ) has no solution (parallel lines).
Survey Results
- In a survey of 30 people regarding shirt colors, the missing value in the Venn diagram is 7.
Distance Measurement
- The distance between Kensington and Greenwich is ( 20\sqrt{5} ) miles.
Commission Calculation
- A 3% commission on a $4450 sale results in $133.50.
Function Range
- For ( f(x) = x^2 + 1 ) with the domain of {-2, -1, 0, 1, 3}, the range ( R ) is {1, 2, 5, 10}.
Solving for z
- Rearranging ( y + w - \frac{3}{4}z = 0 ) leads to ( z = \frac{4}{3}(y + w) ).
Hourly Pay Calculation
- Gloria worked 47 hours, earning $489.85 with a normal hourly rate of ( p ).
- The equation ( 40p + 7(1.5p) = 489.85 ) results in ( p = 9.70 ).
Slope Determination
- The slope of a line that is parallel to the y-axis is undefined.
Studying That Suits You
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Description
Test your understanding of key algebra concepts with these flashcards focused on real-world applications. Each card presents a scenario or problem that you must solve or analyze. Perfect for preparing for the EOC exam!
