unit mathh
Which ordered pair makes both inequalities true? y < -x + 1 y > x
(-2, 2)
Which ordered pair makes both inequalities true? y > -2x + 3 y < x - 2
(3,0)
Which number completes the system of linear inequalities represented by the graph?
-12
Consider the system of inequalities and its graph. y ≤ -0.75x y ≤ 3x - 2
4
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
a
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?
a
Consider this system of inequalities. x + y ≤ -3 y < x/2
a
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training times this week?
a
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?
a
The graph represents a system of inequalities for the scenario where x is the number of confirmed parties on a tour and y is the number of required copies of the itinerary. Which constraint could be part of this system of equations?
a
Kyle asks his friend Jane to guess his age and his grandmother's age. Kyle says his grandmother is not more than 80 years old. He says his grandmother's age is, at most, 3 years less than 3 times his own age. Jane writes this system of inequalities to represent k, Kyle's age, and g, Kyle's grandmother's age. Inequality 1:g> 80 Inequality 2: g≤ 3k-3
a Inequality 1 is incorrect; it should be g ≤ 80.
A city determines that a planned community must have at least 4 acres of developed and open space, and the difference between the number of developed acres, y, and the number of open acres, x, can be no more than 1. Which graph represents the system of inequalities for this scenario?
b
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
b
Which graph shows the solution to the system of linear inequalities? y < 2x - 5 y > -3x + 1
b
Which graph shows the solution to the system of linear inequalities? y > 2/3 x + 3 y ≤ -1/3 x + 2
b
Which is true about the solution to the system of inequalities shown? y <1/3 x - 1 y < 1/3x - 3
b
Which system of linear inequalities has the point (3, -2) in its solution set?
b
Last year, Jess saw x dramas and y comedies at the movie theater. If she went to the theater no more than 8 times, which inequality best represents the number of movies she saw?
c
Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola's purchase?
c
One winter day, the outside temperature, y, never dropped below −1°. The inside of a car was always warmer than the temperature outside by at least 4°. Which graph of a system of inequalities represents this scenario?
c
Which ordered pair makes both inequalities true? y > -3x + 3 y > 2x - 2
c
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
d
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
d
It takes Dimitri 9 minutes to make a simple bracelet and 20 minutes to make a deluxe bracelet. He has been making bracelets for longer than 120 minutes. If x represents the number of simple bracelets that he has made and y represents the number of deluxe bracelets he has made, the inequality 9x + 20y > 120 represents the scenario.
d
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
d
One company estimates same-day delivery as more than three less than half the total number of miles. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? Note that the graphs have miles for the independent variable on the x-axis, and the y-axis is a unit of time dependent on the number of miles.
d
When planning for a party, one caterer recommends the amount of meat be 2 pounds fewer than the total number of guests. The customer decides they want at least that amount of meat. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
d
Which system of linear inequalities is represented by the graph?
y > 1/3 x + 3 and 3x - y > 2
Which system of linear inequalities is represented by the graph?
y > x - 2 and y < x + 1
