Two Step Inequalities
5y + 1 > 16
y > 3
Briannah bought a set of stickers for $6 and a puzzle. All of that cost at least $22.40. How much was the puzzle?
Briannah compró un juego de pegatinas por $6 y un rompecabezas. Todo eso cuesta al menos $22,40. ¿Cuánto costó el rompecabezas?
x > $16.40
The puzzle was at least (greater than or equal to) $16.40.
Chloe earns $11 per hour, plus an additional $45 per week for gas money. Write an equation and solve to determine the number of hours Chloe must work to earn $265 per week.
11x + 45 = 265
x = 20 hours
Simplify the expression:
x - 9 + 0.25x + 22
1.25x + 13
-3h + 14 < 23
h > -3
Ms. OConnor has $85 and would like to buy a new pair of shoes and a shirt. The pants cost $25 and the shirt costs x dollars. Unfortunately, she does not have enough money to buy the outfit. Write an inequality and solution to represent this situation.
La Sra. O'Connor tiene $85 y le gustaría comprar un par de zapatos nuevos y una camisa. Los pantalones cuestan $25 y la camisa cuesta x dólares. Desafortunadamente, no tiene suficiente dinero para comprar el traje. Escribe una desigualdad y una solución para representar esta situación.
25 + x > 85
x > 60
Alecia wants to attend creative writing classes. Each class costs $13 plus a one-time registration fee of $6.50. Write an equation to represent the number of classes Alecia can attend for $84.50. How many classes can she attend?
13n + 6.50 = 84.50
x = 6 classes
Simplify the expression:
3x + 11 - 0.25x + 5
2.75x + 16
4b - 17 < 27
b < 11
Wyatt wishes to grow his baseball card collection to at least 5500 cards. He currently has 1300 cards and knows that his favorite type of cards have 5 per package. Write an inequality to represent the number of packages of cards that Wyatt wishes to buy.
Wyatt desea aumentar su colección de tarjetas de béisbol a al menos 5500 tarjetas. Actualmente tiene 1300 tarjetas y sabe que su tipo de tarjetas favoritas tiene 5 por paquete. Escribe una desigualdad para representar la cantidad de paquetes de tarjetas que Wyatt desea comprar.
5p + 1300 > 5500
x > 840
Dulce wants to attend drawing classes. Each class costs $8 plus a one-time registration fee of $8.75. Write an equation to represent the number of classes Dulce can attend for $128.75. How many classes can she attend?
8n + 8.75 = 128.75
x = 15
Simplify the expression:
-8(x - 3x)
16x
-3 x + 11 > 38
x < -9
Haven is buying a new TV and some new movies. The TV is $150, and each new game costs $15. She can spend a maximum of $255. What is the maximum number of games she can purchase?
Haven está comprando un televisor nuevo y algunas películas nuevas. El televisor cuesta $150 y cada juego nuevo cuesta $15. Puede gastar un máximo de $255. ¿Cuál es la cantidad máxima de juegos que puede comprar?
7 Games
Ariel is 16 years old. When 11 is subtracted from Rapunzel's age and 1/4 of the difference is taken, the result is equal to Ariel's age. Write an equation and solve for Rapunzel's age.
1/4(x - 11) = 16
x = 75 years old
Simplify the expression:
5x - 3(x - 10)
2x + 30
-8v + 7 < -41
v > 6
Dana wants to call her friend on her cell phone. The first minute costs $0.75 and each additional minute costs $0.20. Dana has $5.55 to spend on her call with her friend. Write an inequality for this situation.
Dana quiere llamar a su amiga a su teléfono celular. El primer minuto cuesta $0,75 y cada minuto adicional cuesta $0,20. Dana tiene $5.55 para gastar en su llamada con su amiga. Escribe una desigualdad para esta situación.
0.20x + 0.75 < 5.55
x < 24
What did the student do wrong?
8x = -2x + -2(1/2y)
8x = -2x + -y
8x - 2x = -y
6x = -y
y = -6x
He should've ADDED 2x to the 8x
10x = -y
y = -10x
A farmer owns a triangular field with a perimeter below. Which of the following could be side lengths?
8a + 7b - 2
a. 2a + 5, 4b + 1, and 3 - 7
b. 4a + 5, a + 7b, and 3a - 3
c. 5a + 6, a - 8, and 3a + 7b
d. 7a, a + 3b, and 4b - 2
d