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Comparing Numbers
Solving Linear Inequalities 1
Solving Linear Equations 2
Compound Inequalities
100
Fill in the blank with an inequality or equal sign: -3 + 4 ___ -4 + 3
What is >
100
Solve and graph x - 6 >/= -10
What is x >/= -4
100
Solve and graph: -14 > x/2
What is x < -28
100
Write the word sentence as an inequality and graph it: A number 'x' is greater than -8 and less than or equal to 4.
What is -8 < x </= 4
200
Fill in the blank with an inequality or equal sign: -(-3 + 4) ___ -(4 - 3)
What is =
200
Solve and graph 1/4 > y - 1/4
What is y < 1/2
200
Solve and graph -5x > 15
What is x < -3
200
Write the word sentence as an inequality and graph it A number 'y' is at most 0 or at least 7.
What is y </= 0 or y >/= 7
300
Fill in the blank with an inequality or equal sign: (-3)^3 +18 __ -18 - (2)^3
What is <
300
On a train, carry-on bags can weigh no more than 50 pounds. Your bag weighs 24.8 lbs. Write and solve an inequality that represents the amount of weight you can add to your bag.
What is 24.8 + w </= 50 ; w </= 25.2 lbs
300
Solve and graph x/-2 > 5/2
What is x < -5
300
Write an inequality to describe the graph
What is -4 </= x < 1
400
Fill in the blank with an inequality or equal sign sqrt(-9 + 6^2 ) ___ 5 (Trick question!)
What is less than OR equal to: sqrt(25) = +5 or - 5
400
A right triangle has one leg of 8 inches and another leg of x inches. Write and solve an inequality that represents what lengths x could be if the area of the triangle can be no more than 60 square inches.
What is 1/2 * 8 * x </= 60 ; x </= 15 inches
400
You earn $9.50/hour at your summer job. Write and solve an inequality that represents the number of hours you need to work in order to buy a digital camera that costs $247.
What is 9.5x >/= 247 ; x >/= 26 hours
400
Solve 3x - 5 < -8 or 2x -1 > 5. Graph the solution
What is x < -1 or x > 3
500
Fill in the blank with an inequality or equal sign: sqrt(10^2 - 4^3 + 5) ___ 6
What is >
500
Look at the figure provided. Find the values of r so that the area of the shaded region is over 100 square inches. Round your answer to the nearest tenth.
What is r > 5.8 inches
500
In many states, the maximum height (including freight) of a vehicle is 13.5 feet. A truck's bed lies 3.5 feet off the ground. If each crate is 28 inches tall and five crates are stacked vertically on top of the truck bed, will this be legal? Write and solve an inequality to justify your answer.
What is 42 + 28x </= 162 ; x </= 4 whole crates ; no, five crates will be too tall
500
Solve and graph |8x - 11| < 0
What is no solution, no number can have an absolute distance less than 0