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Solutions
Concepts
Mixed Bag
100
Solve for x: x - 10 > 35
x > 45
100
Solve for x: 6x > 18
x > 3
100
If x > 4, can x = 4?
No.
100
If your inequality says "greater than", which direction should the arrow go on your graph?
To the right.
100
Write an inequality: You have to be older than 7 years of age to join.
x > 7
200
Solve for x: x - 1 < -3
x < -2
200
Solve for x: x/5 < 3
x < 15
200
If x < -9, can x = -10
Yes.
200
If your inequality says "less than or equal to", which kind of circle should you use (open or closed)?
Closed
200
Write an inequality: The temperature will fall below 30 degrees.
x < 30
300
Solve for x: -3 > x + 16
x < -19
300
Solve for x: 4 > x/6
x < 24
300
If 2 < x/4, can x = 7?
No; x > 8
300
What symbol should you use to show "at least"?
The greater than or equal to symbol.
300
Write an inequality: Last Monday, there was at least 3 inches of rain.
x (greater than > or = to symbol) 3
400
Solve for x: 6 > -11 + x
x < 17
400
Solve for x: 17 < 2x
x > 8.5
400
If 2x < 14, can x = 3?
Yes; x < 7
400
What symbol should you use when saying "at most"?
The less than or equal to symbol.
400
If x/4.2 < 3.5, can x = 14?
Yes; x < 14.7 and 14 is less than 14.7
500
To advance to the next level of the competition, Rachel must earn more than 180 points. She has already earned 145 points. Find the least number of points she needs to advance to the next level. WRITE YOUR ANSWER AS AN INEQUALITY!
x < 35 (She needs greater than 35 points)
500
Solve for x: x/2.5 > 3
x > 7.5
500
If 15 < 3x, can x = 10?
Yes; x > 5
500
On which side of the inequality should the variable be located?
On the left (x > 3)
500
If 26 < 4x, can x = 6?
No; x > 6.5 and 6 is less than 6.5