Equivalent Expressions
Which of the following is NOT a Like Term
¿Cuál de los siguientes NO es un término similar?
2x - 6x + 7y - 7x
7y - Becuase it has a different variable from the rest
Simplify the expression: 2(x - 3)
2x - 6
Solve the Equation:
115 = 8x - 29
x = 18
Is 4 part of the solution set for the inequality 3x <12. Explain your answer.
¿Es 4 parte del conjunto solución para la desigualdad 3x < 12? Explica tu respuesta.
No because 3x4 = 12, and 12 is not <12. Therefore, 4 is NOT part of the solution set.
What does it mean when the circle is filled in on a graph of an inequality?
¿Qué significa cuando en el gráfico de una desigualdad se rellena el círculo?
That particular number IS part of the solution set
Write an equivalent expression in simplest form:
3x + 7 + 2x - 5
5x + 2
Simplify the expression: -3 (2x + 4)
-6x - 12 or -6x + (-12)
Solve the equation:
42 = -43 - 5x
x = -17
Solve the inequality:
3x - 2x + 1< 7
x < 6
Describe the graph for the inequality x is greater than -6
Describe la gráfica de la desigualdad x es mayor que -6
x>-6
Open circle at -6 shaded to the right.
Write an expression equivalent to:
7x-12+2-3x+1-10x
-6x-9
Distribute and Combine like terms:
2(14g + 22h)-12h
28g + 32h
Sally solved the equation 4n - 3 = -2n + 9 and got n = 2. Is she correct? Show your work to support your answer.
Sally resolvió la ecuación 4n - 3 = -2n + 9 y obtuvo n = 2. ¿Tiene razón? Muestra tu trabajo para fundamentar tu respuesta.
4n - 3 = -2n + 9 let n = 2
4(2) - 3 = -2(2) + 9
8 - 3 = -4 + 9
5 = 5
YES
Write an inequality to represent the following situation: Jackie starts a savings account with an initial deposit of $75 and deposits $15 per week after that. She wants to save AT LEAST $200 for a new bike. How many weeks will it take her to reach her goal?
Escribe una desigualdad para representar la siguiente situación: Jackie abre una cuenta de ahorros con un depósito inicial de $75 y luego deposita $15 por semana. Quiere ahorrar al menos $200 para una bicicleta nueva. ¿Cuántas semanas le tomará alcanzar su meta?
75+15x is greater than or equal to 200
How are the graphs for x < 5 and x> 5 similar?
¿En qué se parecen las gráficas de x < 5 y x > 5?
They both start at 5, and both circles are NOT filled in. 5 is NOT part of the solution set.
Write the expression in standard form by expanding and collecting like terms.
Escribe la expresión en forma estándar desarrollando y agrupando términos semejantes.
4(8m - 7n) + 6(3n - 4m)
4(8m - 7n) + 6(3n - 4m)
32m - 28n + 18n - 24m
32m - 24m - 28n + 18n
8m - 10n
Distribute and Combine Like Terms:
-3y+4(2y+2)-1
5y+7
Solve for x:
-2(3-x)=24
x=15
Write the inequality: The sum of three times a number and -4 is NO MORE than 7.
Escribe la desigualdad: La suma de tres veces un número y -4 NO ES MAYOR que 7.
3x + (-4) is less than or equal to 7
Solve and graph:
8a+9>-143
a>-19
El ancho de un rectángulo es 3x. Su largo es 4x + 3. Expresa el perímetro del rectángulo en su forma más simple.
2(3x) + 2(4x + 3)
6x + 8x + 6
14x + 6
Distribute and Combine Like Terms:
-3(2x+4)-2+7x-2x
-x-14
Write and solve an equation for the following situation: Mike hired a lawn service to care for his yard. The service charges a flat rate of $25 plus $10 per hour. How many hours did the service charge Mike for if he paid $175?
Escribe y resuelve una ecuación para la siguiente situación: Mike contrató un servicio de jardinería para cuidar su jardín. El servicio cobra una tarifa fija de $25 más $10 por hora. ¿Cuántas horas le cobró a Mike si pagó $175?
25+10h=175
h=15 hours
Write an inequality: Two times the sum of a number and 5 is greater than 25.
Escribe una desigualdad: Dos veces la suma de un número y 5 es mayor que 25.
2(x+5)>25
Solve and graph the inequality:
-2x + 4 < -18
x > 11 Open circle, pointing to the right.