Multi-step Equations
Solve: 2x + 3 = 11
x=4
Solve for r: A = πr²
r = √(A/π)
Solve: x – 4 > 3
x > 7
Solve: –2 < x + 1 < 4
–3 < x < 3
Graph the solution to: x > 2
Open circle at 2, arrow to the right
Solve: 4(x – 2) = 2x + 6
x=7
Solve for h: V = πr²h
h = V/(πr²)
Solve: –2(x – 3) < 4
x > 1
Solve: 1 ≤ 2x – 3 < 5
2 ≤ x < 4
Graph the solution to: x ≤ -1
Closed circle at -1, arrow to the left
Solve: 3x – 2 = 2(x + 5)
x=12
Solve for b: A = ½bh
b = 2A/h
Solve: 5x – 2 ≥ 3x + 6
x ≥ 4
Solve: |x – 2| ≤ 6
–4 ≤ x ≤ 8
Graph the solution to: –3 < x ≤ 2
Open circle at -3, closed circle at 2, line connecting them
Solve: 5x – 3 = 2(2x + 4)
x=3
Solve for x: y = mx + b
x = (y – b)/m
Solve: 2x + 1 < 7
x < 3
Solve: |2x + 1| > 5
x < –3 or x > 2
Graph: x + 4 ≥ 7
Solve: x ≥ 3; closed circle at 3, arrow to the right
Solve: 3(x – 4) – 2(x + 5) = 7
x=31
Solve for l: P = 2l + 2w
l = (P – 2w)/2
Solve: –3(x + 5) ≥ 2x – 1
x ≤ –4
Solve: –3 ≤ |x – 4| < 7
-3 < x < 11
Graph the solution: (1/2)x - 1 < 1
x < 4; open circle at 4, arrow to the left