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)
Algebra I Warm-Up 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!)
=
=
=
= “Cross the line... change the 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)
Algebra I Warm-Up 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!)
=
=
=
= “Cross the line... change the 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: -2(3x - 5) = (9/2)x - 2 → “true”
Verified “True”
Cross Cross Equation Template Algebra 1 Master Template Practice Organizer
Cross-Cross, Combine & Divide
Equation Solver: Cross-Cross, Combine & Divide
Step-by-Step Multi-Step Linear Equations Graphic Organizer
Algebra I Strategy Blank Template
NAME:
DATE:
PERIOD:
Solve the equation algebraically for \(x\):
Left Expression
=
Right Expression
Step 1 Distribute & Expand: If needed, expand parentheses on both sides before placing terms into the teams below.
CIRCLE TEAM (MOVE RIGHT • FLIP SIGN!)
X-BOX TEAM (MOVE LEFT • FLIP SIGN!)
=
=
=
= “Cross the line... change the 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: [original equation] → “true”
Verified “True”
Cross Cross Answer Key Answer Key Algebra 1 Regents October 23, 2026
Cross-Cross, Combine & Divide
October 23rd Warm Up: Teacher Answer Key PROBLEM 1
August 2024 Regents • Question 28 (Part II • 2 Credits)
Full Solutions & Rubric 2 / 2 CREDITS
Solve the equation algebraically for \(x\):
\(0.05(x - 3)\)
=
\(0.35x - 7.5\)
Step 1 Distributed: 0.05x - 0.15 = 0.35x - 7.5
CIRCLE TEAM (MOVE RIGHT • FLIP SIGN!)
X-BOX TEAM (MOVE LEFT • FLIP SIGN!)
=
=
=
= “Cross the line... change the sign!” =
=
X-BOX
+0.05x
CIRCLE
-0.15
X-BOX
+0.35x
CIRCLE
-7.5
+ MOVED X-BOX (FLIP SIGN!)
-0.35x
+ MOVED CIRCLE (FLIP SIGN!)
+0.15
COMBINED X-BOX:
-0.30x
COMBINED CIRCLE:
-7.35
✓
Divide by Coefficient: \(\frac{-0.30x}{-0.30} = \frac{-7.35}{-0.30}\)
Both negatives cancel \(\rightarrow\) Positive solution
FINAL SOLUTION: X
=
24.5 (or \(\frac{49}{2}\))
TI-Nspire Truth Test Verified
1. 24.5 → x • 2. 0.05(x - 3) = 0.35x - 7.5 → “true”
✓
Verified “True”
Answer Key Part I • Multiple Choice October 23, 2026
Cross-Cross, Combine & Divide
October 23rd Warm Up: Teacher Answer Key PROBLEM 2
January 2025 Regents • Question 11 (Part I • 2 Credits)
Correct Choice: (1) 2 / 2 CREDITS
When solving \( -2(3x - 5) = \frac{9}{2}x - 2 \) for \(x\), the solution is:
✓ \(\frac{8}{7}\) (CORRECT)
(2) \(\frac{10}{11}\)
(3) \(-\frac{16}{21}\)
(4) \(-\frac{16}{3}\)
Step 1 Distributed: -6x + 10 = 4.5x - 2 (or \(+\frac{9}{2}x - 2\))
CIRCLE TEAM (MOVE RIGHT • FLIP SIGN!)
X-BOX TEAM (MOVE LEFT • FLIP SIGN!)
=
=
=
= “Cross the line... change the sign!” =
=
X-BOX
Spanish Cross Cross Warmup Álgebra 1 Parte 1: Ecuación Regents 23 de octubre de 2026
Cruza, Combina y Divide
Calentamiento del 23 de Octubre: Cruza, Combina y Divide
Resolución de Ecuaciones Lineales • Enfoque Regents de NYS (Ago ’24 #28)
Edición en Español 3–5 MINUTOS
NOMBRE:
FECHA: 23 de octubre de 2026
PERÍODO:
Resuelve algebraicamente para \(x\):
\(0.05(x - 3)\)
=
\(0.35x - 7.5\)
Paso 1 Distribuir: Expande \(0.05(x - 3) = 0.05x - 0.15\) antes de ubicar los términos en los equipos de abajo.
EQUIPO CÍRCULO (¡MUEVE A LA DERECHA • CAMBIA SIGNO!)
EQUIPO CAJA-X (¡MUEVE A LA IZQUIERDA • CAMBIA SIGNO!)
=
=
=
= “¡Cruza la línea... cambia el signo!” =
=
CAJA-X
CÍRCULO
CAJA-X
CÍRCULO
+ CAJA-X MOVIDA (¡CAMBIA SIGNO!)
+ CÍRCULO MOVIDO (¡CAMBIA SIGNO!)
CAJA-X COMBINADA:
CÍRCULO COMBINADO:
i
Paso Final: ¡El último paso siempre es dividir ambos lados de la ecuación entre el Coeficiente de la caja-x combinada!
SOLUCIÓN FINAL: X
=
Prueba de Verdad TI-Nspire (La Ecuación)
1. Guarda la solución: [solución] → x • 2. Escribe la ecuación original: 0.05(x - 3) = 0.35x - 7.5 → “true”
Verificado “True”
Álgebra 1 Parte 2: Opción Múltiple 23 de octubre de 2026
Cruza, Combina y Divide
Calentamiento del 23 de Octubre: Cruza, Combina y Divide
Resolución de Ecuaciones Lineales • Enfoque Regents de NYS (Ene ’25 #11)
Edición en Español 2 CRÉDITOS • PARTE I
NOMBRE:
FECHA: 23 de octubre de 2026
PERÍODO:
Al resolver \( -2(3x - 5) = \frac{9}{2}x - 2 \) para \(x\), la solución es:
(1) \(\frac{8}{7}\)
(2) \(\frac{10}{11}\)
(3) \(-\frac{16}{21}\)
(4) \(-\frac{16}{3}\)
Paso 1 Distribuir: Expande \(-2(3x - 5) = -6x + 10\). ¡Luego ubica los términos en los equipos de abajo!
EQUIPO CÍRCULO (¡MUEVE A LA DERECHA • CAMBIA SIGNO!)
EQUIPO CAJA-X (¡MUEVE A LA IZQUIERDA • CAMBIA SIGNO!)
