I can solve an inequality and graph its solution set on a number line.Puedo resolver una desigualdad y graficar su conjunto solución en una recta numérica.
MissionMisión · Pixel ArcadeArcade de píxeles · night shiftturno de noche
Clear every level.Supera todos los niveles.
Hard mode is on. The glitchy cabinets show solved inequalities with shaky graphs, so you must decide which circles, directions and boundaries are real.
El modo difícil está activado. Las máquinas con fallas muestran desigualdades resueltas con gráficas dudosas, así que debes decidir cuáles círculos, direcciones y límites son reales.
Word bankBanco de palabras 4 words4 palabrassolve, solution set, inverse operation, …resolver, conjunto solución, operación inversa, …
- solveresolver
- To find the numbers that make an equation or inequality true.Hallar los números que hacen verdadera una ecuación o desigualdad.
- solution setconjunto solución
- All the numbers that make the inequality true.Todos los números que hacen verdadera la desigualdad.
- inverse operationoperación inversa
- Two operations that undo each other, like × and ÷.Dos operaciones que se deshacen entre sí, como × y ÷.
- graphgraficar
- To show answers on a number line with a circle and shading.Mostrar respuestas en una recta numérica con un círculo y sombreado.
Stage 1 of 5Etapa 1 de 5
Start StrongEmpieza fuerte
Each rung is harder than the last, and the numbers change every time.
Cada peldaño es más difícil que el anterior y los números cambian cada vez.
- 6 fresh problems with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Stretch Your ThinkingAmplía tu pensamiento
Plan, solve, then check that your answer makes sense.
Planea, resuelve y revisa que tu respuesta tenga sentido.
- Find the Solving Error
- A detective has a budget of at most $100 for supplies. She already spent $37 on gloves. Write an inequality for the remaining amount r she can spend, solve it, graph it, and name three possible values for r.
- Zara needs at least 150 points to unlock Level 3, and she has 90. Let p be the extra points she still needs, so 90 + p ≥ 150. Which answer solves the inequality and describes its graph?
- p ≥ 240; closed circle at 240, shaded right
- p > 60; open circle at 60, shaded right
- p ≥ 60; closed circle at 60, shaded right
- p ≤ 60; closed circle at 60, shaded left
- Solve each inequality. Type the boundary number. Then type the whole-number solution asked for, the least or the greatest.
- Bola has 36 tickets. Each play of the claw game costs 4 tickets. The inequality 4p ≤ 36 shows the number of plays p he can afford. What is the greatest whole number of plays?
- Hiro solved k − 7 < 5 and drew this graph. What mistake did he make?
- He shaded right; solutions are below the boundary.
- He should have used a closed circle.
- He should have put the boundary at 2.
- He should have written the inequality as k > 12.
Stage 3 of 5Etapa 3 de 5
InvestigateInvestiga
Use the model to test an idea. Then check it.
Usa el modelo para probar una idea. Luego compruébala.
- Sort each inequality by the first step that gets the variable alone.
- Create a solved inequality with ONE mistake on purpose: a wrong inverse operation, a wrong circle, or wrong shading. Give a classmate the clue to find it. Then write the corrected solution and a test number that proves the mistake.
- 4 fresh problems with new numbers each time (interactive only).
Stage 4 of 5Etapa 4 de 5
Find and FixEncuentra y corrige
Somebody made a mistake. Find the step and fix it.
Alguien cometió un error. Encuentra el paso y corrígelo.
- Mina solves and graphs x + 5 > 12.
- Tobias solves x − 6 ≥ 10.
- Ayesha graphs the solution of x ≥ 5.
- Giselle and Oscar solve 5x > 30. Giselle says x > 6 with an open circle at 6. Oscar says x ≥ 6 with a closed circle at 6. Who is right?
- Oscar, because the boundary is always a solution.
- Giselle: keep >; 6 is excluded.
- Both, because the boundary is 6 in each.
- Neither, because dividing by 5 flips the symbol to <.
- What is the best next move?
- Stop at k ≤ 8, because the solving is done.
- Draw a closed circle at 8 and shade to the right.
- Draw an open circle at 8 and shade to the left.
- Closed circle at 8; shade left.
- 1 fresh problem with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Prove Your UnderstandingDemuestra tu comprensión
Say how sure you are, solve, then create a problem of your own.
Di qué tan seguro estás, resuelve y luego crea un problema tuyo.
- Solve x + 3.5 ≥ 8. What is the least value x can be?
- Which inequality has the solution x > 9?
- x + 4 > 5
- 4x > 5
- x ÷ 4 > 5
- x − 4 > 5
- Which inequality has this solution graph?
- x − 3 ≥ 11
- x + 3 ≥ 11
- 3x ≥ 11
- x ÷ 3 ≥ 11
- Felix has $30 to spend on tokens that cost $2 each. The inequality 2t ≤ 30 shows how many tokens t he can buy. Which statement is true?
- He can buy at least 15 tokens.
- He can buy at most 60 tokens.
- He can buy at most 15 tokens.
- He must buy exactly 15 tokens.
- The whole numbers from 0 to 10 are tested in the inequality x − 2 < 5. How many of them are solutions?
- Make up an arcade problem that can be written as a one-step inequality, such as tokens, tickets or points. Solve it, say how you would graph the solution, and name one value that is a solution.