Word Problems
A store has a minimum purchase of $10. If x is the purchase amount, write the inequality.
What is x ≥ 10?
Is the point (0, 0) a solution to the inequality y > x + 1
What is No, because 0 is not greater than 1?
State the slope and the y-intercept of the inequality y > 2x + 3.
What are a slope of 2 and a y-intercept of 3?
Should a < or > symbol use a solid or a dashed line on a graph?
What is a dashed (or dotted) line?
What is > symbol
What is greater than
You can spend no more than $50 on food and drinks. If f is the cost of food and d is the cost of drinks, write an inequality.
What is f + d ≤ 50?
Is the point (2, 5) a solution to the inequality y ≤ 3x - 1
What is Yes, because 5 is less than or equal to 3(2) - 1 (or 5)?
Describe the line type and shading for the inequality y ≤ -x + 5
What are a solid line and shade below?
Should a ≤ or ≥ symbol use a solid or a dashed line on a graph?
What is a solid line?
What inequality symbol would you use for the words "at most" or "no more than"
What is ≤ (less than or equal to) symbol
Katherine works at most 20 hours a week at two jobs. If x and y are hours worked, write the inequality.
What is x + y ≤ 20
The test point (0, 0) is used and the inequality is true. Should you shade the side with the origin or the opposite side?
What is the side with the origin?
Graph the inequality x > 2
What is a vertical dashed line at x=2, shaded to the right?
When an inequality is in the form y > mx + b, do you shade above or below the line?
What is above the line?
What inequality symbol would you use for the words "at least" or "no fewer than"?
What is the ≥ (greater than or equal to) symbol?
A person needs to earn at least $180 per week. They earn $8/hour babysitting (x) and $10/hour as a hostess (y). Write the inequality for their earnings.
What is 8x + 10y ≥ 180
A point lies on a dashed boundary line. Is it part of the solution
What is No?
Graph the inequality y ≥ -2
What is a horizontal solid line at y=-2, shaded above
When an inequality is in the form y ≤ mx + b, do you shade above or below the line?
What is below the line?
The phrase "not to exceed" means which inequality symbol should be used?
What is the ≤ symbol
Write a scenario that could be represented by the inequality y > 2x + 10.
Accept reasonable answers, e.g., "The number of pages in my book (y) is more than 10 pages plus twice the number of pages I read yesterday (x)").
Determine if the point (1, -2) is a solution to 3x - 2y ≥ 7
What is Yes, because 3(1) - 2(-2) = 3 + 4 = 7, and 7 is greater than or equal to 7?
Rearrange 2x + y < 4 into slope-intercept form and describe the graph.
What is y < -2x + 4, which has a dashed line with a y-intercept of 4 and a slope of -2, shaded below?
What is the specific rule to remember about the inequality sign when multiplying or dividing both sides by a negative number?
What is to reverse (or flip) the direction of the inequality sign?
What inequality symbol indicates that the boundary line is not included in the solution set?
What are the < or > symbols?