Symbols & Phrases
Translate: “At least 9 apples.”
a≥9
Solve: x+7>10
x>3
What type of line does y<2x+1
Dashed
The solution to a system is the __________ of the shaded regions.
Overlap
“A ride costs $2 per ticket. You can spend at most $20.” Write inequality.
2 t ≤ 20
Translate: “No more than 45 minutes.”
m≤45
Solve: 4x–5≤15
x≤5
Which way do you shade for y≥−x+3
Above
True or False: A system can have no solution
A worker earns $15/hour and must earn at least $120. Write inequality.
15h≥120
True/False: “More than” means the boundary line is solid.
False
Solve: −2y>12
y<−6
The point (0,0) is a solution to y>3x−4 True or False
True
Which point satisfies both: y>x and y<2x+3
A. (8,2)
B. (7,3)
C. (15,2)
D. (0,1)
(0,1)
A rectangle has perimeter less than 30, with sides x and y. Write inequality.
2x+2y<30
Translate: “Fewer than 120 students.”
s<120
Solve: 3–5x≥−7
x≤2
Graph x≤−2. Describe the line and shading
Vertical Solid Line at -2, Shade Left
Graph the system: y≥−x+2 and y ≤ 2x+4 What shape is formed?
A wedge-shaped overlap
A coach buys water bottles ($3 each) and snacks ($2 each). Budget is at most $60. Write inequality.
3b+2s ≤ 60
Which symbol matches “minimum of 3 hours”?
≥
Solve: −4x–8≤12
x ≥ −5
Explain why test points are used when graphing inequalities.
To check which side of the boundary satisfies (which side to shade)
Word problem: A concert sells lawn tickets ($30) and seat tickets ($50). At most 400 tickets can be sold. Write a system of inequalities for lawn (x) and seat (y).
x+y≤ 400, x≥0, y≥0
A theater must sell at least 100 regular tickets ($10) and VIP tickets ($25) combined. Write inequality.
10r+25v≥1000