Cross-Cross Combine Divide WorksheetAlgebra 1 Part 1: The Equation October 21, 2026 Cross-Cross, Combine & Divide October 21st Warm Up: Cross-Cross, Combine and Divide Introduction to Solving Equations • Part 1: The Equation “Cross the line... change the sign!” 3–5 Minutes Name: Date: October 21, 2026 Period: −4 + 9(−2x + 1) 2(−7x + 1) + 9 = = = = Variables Team (Move Left • Flip Sign!) X-Box Circle Moved X-Box (Flip Sign!) Combined X-Box: Constants Team (Move Right • Flip Sign!) X-Box Circle Moved Circle (Flip Sign!) Combined Circle: Golden 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: -4+9(-2x+1)=2(-7x+1)+9 → "true" Verified "True" Algebra 1 Part 2: Simplifying Expressions October 21, 2026 Strategy: The X-Box + Circle Constant October 21st Warm Up: Cross-Cross, Combine and Divide Introduction to Solving Equations • Part 2: Simplifying Expressions 2 Practice Problems 1 Rewrite the expression on the left hand side of the equation in simplest terms using the box & circle below: TI-Nspire Checked (true) −4 + 9(−2x + 1) Step 1: Distribute & Expand (Show all work below) remember: 9 · (−2x) = −18x and 9 · 1 = +9 Step 2: Group Like Terms & Write Final Answer The X-Box (Variables) Circle (Constants) = Final Answer 2 Rewrite the expression on the right hand side of the equation in simplest terms using the box & circle below: TI-Nspire Checked (true) 2(−7x + 1) + 9 Step 1: Distribute & Expand (Show all work below) remember: 2 · (−7x) = −14x and 2 · 1 = +2 Step 2: Group Like Terms & Write Final Answer The X-Box (Variables) Circle (Constants) = Final Answer TI-Nspire Quick Verification Tip Type [Original Expression] = [Final Answer], press [enter] → true confirms your work! TI-Nspire Check: Q1: Q2:
Cross-Cross Equations Answer KeyAlgebra 1 Answer Key October 21, 2026 Cross-Cross, Combine & Divide October 21st Warm Up: Cross-Cross, Combine and Divide Teacher Key • Part 1: Solving the Equation “Cross the line... change the sign!” 3–5 Minutes Name: TEACHER MASTER KEY Date: October 21, 2026 Period: ALL −4 + 9(−2x + 1) 2(−7x + 1) + 9 = = = = Variables Team (Move Left • Flip Sign!) −18x +5 Moved X-Box (Flip Sign!) +14x Combined X-Box: −4x Constants Team (Move Right • Flip Sign!) −14x +11 Moved Circle (Flip Sign!) −5 Combined Circle: +6 Golden Step: Divide both sides by coefficient −4: −4x ÷ (−4) = +6 ÷ (−4) Final Solution: x −1.5 (or −3/2) = TI-Nspire Truth Test (The Equation) 1. Store: -1.5 → x • 2. Test: -4+9(-2x+1)=2(-7x+1)+9 → "true" Verified "True" Algebra 1 Answer Key October 21, 2026 Strategy: The X-Box + Circle Constant October 21st Warm Up: Cross-Cross, Combine and Divide Teacher Key • Part 2: Simplifying Expressions 2 Practice Problems 1 Rewrite the expression on the left hand side of the equation in simplest terms using the box & circle below: TI-Nspire Checked (true) −4 + 9(−2x + 1) Step 1: Distribute & Expand (Work Shown) 9 · (−2x) = −18x and 9 · 1 = +9 −4 + 9(−2x) + 9(1) → −4 − 18x + 9 → −18x + 5 Step 2: Group Like Terms & Final Answer The X-Box (Variables) −18x Circle (Constants) +5 = Final Answer −18x + 5 2 Rewrite the expression on the right hand side of the equation in simplest terms using the box & circle below: TI-Nspire Checked (true) 2(−7x + 1) + 9 Step 1: Distribute & Expand (Work Shown) 2 · (−7x) = −14x and 2 · 1 = +2 2(−7x) + 2(1) + 9 → −14x + 2 + 9 → −14x + 11
Spanish Cross Cross WorksheetÁlgebra 1 Parte 1: La Ecuación 21 de octubre de 2026 Cruza, Combina y Divide Calentamiento del 21 de Octubre: Cruza, Combina y Divide Introducción a Resolver Ecuaciones • Parte 1: La Ecuación «¡Cruza la línea... cambia el signo!» 3–5 Minutos Nombre: Fecha: 21 de oct, 2026 Período: −4 + 9(−2x + 1) 2(−7x + 1) + 9 = = = = Equipo Variables (¡A la Izquierda • Cambia Signo!) Caja-X Círculo Caja-X Movida (¡Cambia Signo!) Caja-X Combinada: Equipo Constantes (¡A la Derecha • Cambia Signo!) Caja-X Círculo Círculo Movido (¡Cambia Signo!) Círculo Combinado: Paso de Oro: ¡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 solución: [solución] → x • 2. Escribe ecuación: -4+9(-2x+1)=2(-7x+1)+9 → "true" Verificado "True" Álgebra 1 Parte 2: Simplificar Expresiones 21 de octubre de 2026 Estrategia: Caja-X + Círculo Constante Calentamiento del 21 de Octubre: Cruza, Combina y Divide Parte 2: Simplificar Lados Izquierdo y Derecho • Método de Cajas y Círculos 2 Problemas de Práctica 1 Reescribe la expresión del lado izquierdo de la ecuación en sus términos más simples usando la caja y el círculo abajo: Verificado TI-Nspire −4 + 9(−2x + 1) Paso 1: Distribuye y expande (Muestra todo tu trabajo abajo) recuerda: 9 · (−2x) = −18x y 9 · 1 = +9 Paso 2: Agrupa términos semejantes y escribe la respuesta final Caja-X (Variables) Círculo (Constantes) = Respuesta Final 2 Reescribe la expresión del lado derecho de la ecuación en sus términos más simples usando la caja y el círculo abajo: Verificado TI-Nspire 2(−7x + 1) + 9 Paso 1: Distribuye y expande (Muestra todo tu trabajo abajo) recuerda: 2 · (−7x) = −14x y 2 · 1 = +2 Paso 2: Agrupa términos semejantes y escribe la respuesta final
