Inequalities
Which inequalities symbol(s) have an open dot when graphing?
< and >
What is the greatest common factor of 4 and 16?
4
Distribute 4(x+2)
4x+8
8x-4x
4x
Solve 3x+1<7
x<2
What is the greatest common factor of 12 and 15?
3
Distribute -3(y-4)
-3y+12
3y-4x+7y
10y-4x
Graph the inequality
2x+1>7
x=3, open dot, arrow to the right
Factor the expression 4x+20
4(x+5)
Distribute -7(2x+3y)
-14x+ -21y
4x-5y+5-2x+3y-2
2x+ -2y+3
Graph the inequality -4x+5<13
x=-2, open dot, arrow to the right
Factor the expression 27x+12
3(9x+4)
Distribute -1/2(4x-6y)
-2x+3y
Combine like terms 8x + 4 − (5x − 2)
3x+6
At 6 a.m., the water level in a reservoir was 12 meters. The water level began decreasing steadily by 1.5 meters per hour. Write an inequality to represent h, the number of hours after 6 a.m. when the water level was less than 3 meters. Explain or show your reasoning.
12-1.5h<3
Factor the expression 28x+21y-35
7(4x+3y-5)
Distribute -1/3(-3x+2y-5)
x+ -2/3y+5/3
2/5(10x-15y)+7-(-5x-2y)
9x-4y+7