Cross Cross Combine Warmup
Algebra 1 Part 1: Regents Eq. October 23, 2026
Cross-Cross, Combine & Divide
October 23rd Warm Up: Cross-Cross, Combine & Divide
Solving Linear Equations • NYS Regents Focus (Aug ’24 #28)
“Cross the line... change the sign!” 3–5 MINUTES
NAME:
DATE: October 23, 2026
PERIOD:
Solve the equation algebraically for \(x\):
\(0.05(x - 3)\)
=
\(0.35x - 7.5\)
Step 1 Distribute: Expand \(0.05(x - 3) = 0.05x - 0.15\) before placing terms into the teams below.
CIRCLE TEAM (MOVE RIGHT • FLIP SIGN!)
X-BOX TEAM (MOVE LEFT • FLIP SIGN!)
=
=
=
=
X-BOX
CIRCLE
X-BOX
CIRCLE
↓ MOVED X-BOX (FLIP SIGN!)
↓ MOVED CIRCLE (FLIP SIGN!)
COMBINED X-BOX:
COMBINED CIRCLE:
i
Final Step: Last step is always to divide both sides of the equation by the Coefficient of the combined x-box!
FINAL SOLUTION: X
=
TI-Nspire Truth Test (The Equation)
1. Store solution: [solution] → x • 2. Type original equation: 0.05(x - 3) = 0.35x - 7.5 → “true”
Verified “True”
Algebra 1 Part 2: Multiple Choice October 23, 2026
Cross-Cross, Combine & Divide
October 23rd Warm Up: Cross-Cross, Combine & Divide
Solving Linear Equations • NYS Regents Focus (Jan ’25 #11)
“Cross the line... change the sign!” 2 CREDITS • PART I
NAME:
DATE: October 23, 2026
PERIOD:
When solving \( -2(3x - 5) = \frac{9}{2}x - 2 \) for \(x\), the solution is:
(1) \(\frac{8}{7}\)
(2) \(\frac{10}{11}\)
(3) \(-\frac{16}{21}\)
(4) \(-\frac{16}{3}\)
Step 1 Distribute: Expand \(-2(3x - 5) = -6x + 10\). Then place into the X-Box and Circle teams below!
CIRCLE TEAM (MOVE RIGHT • FLIP SIGN!)
X-BOX TEAM (MOVE LEFT • FLIP SIGN!)
=
=
=
=
X-BOX
CIRCLE
X-BOX
CIRCLE
↓ MOVED X-BOX (FLIP SIGN!)
↓ MOVED CIRCLE (FLIP SIGN!)
COMBINED X-BOX:
COMBINED CIRCLE:
i
Final Step: Last step is always to divide both sides of the equation by the Coefficient of the combined x-box!
FINAL SOLUTION: X
=
Circle Answer:
(1) (2) (3) (4)
TI-Nspire Truth Test (The Equation)
1. Store solution: [solution] → x • 2. Type original: -2(3x - 5) = (9/2)x - 2 → “true”
Verified “True”
