Writing and Solving Equations/Writing Inequalities

. Find the value of x.

3x + 6 = 12x - 21

• 3

• 5

• 2

• 4

2. Lily is comparing the Uber fees of two destinations. Uber one charges a fixed charge of $5.50, plus $.50 per mile traveled. Uber two charges $4 per mile plus $1.50 fixed charge. What inequality can you use to find how many miles Lily must travel to make the total cost with Uber one less than the total cost with Uber two?

• 5.50 + .50x < 4x + 1.50

• . 5.50x + .50 < 1.50x + 4

• . 5.50 + .50x > 4x + 1.50

• 5.50 – .50x < 4x – 1.50

What value of x makes the equation modeled below true?

• -4

• 0

• 2

• 3

2. A cell phone company has two plans. With one plan, you pay $27 a month plus $10 per gig of data used. With the other plan, you pay $45 a month and $6 per gig of data used.

Which equation represents how many gigs of data, x, would make the two plans the same price.

• 27x + 10 = 45x + 6

• 45x + 27 = 6x + 8

• 6x + 27 = 10x + 45

• 10x + 27 = 6x + 45

2. Solve the equation on the right. Find the value of k.

• 
• 
• 
• 

2. Pasadena Memorial is having a carnival. Admission into the carnival is $8, and each game inside the carnival costs $0.50. Miller decides to also have a carnival. Admission into the carnival is $2, and each game inside cost $1.50. After how many games would the cost of the two carnivals be the same?

• .6 games

• 3 games

• 6 games

• 5 games

What value of x makes the equation true?

2x + 5 = 4x + 1

• 1

• 4

• 2

• 6

2. What could be the first step in simplifying the equation below?

5x + 3 = 25x − 7

• Add 5x to both sides.

• Add 3 to both sides.

• Subtract 5x from both sides.

• Subtract 7 from both sides.

• 1

• 1.5

• 2

• 3.5

Match the following inequality with the proper situation.

• Ricardo makes $2.50 a week by doing chores, but right now he owes his parents a dollar. Bruno already has $6.50 but he spends a dollar a week on a snickers bar. After how many weeks will Ricardo have the same amount of money as Bruno?

• Ricardo makes $2.50 a week by doing chores, but right now he owes his parents a dollar. Bruno already has $6.50 but he spends a dollar a week on a snickers bar. After how many weeks will Ricardo have more money than Bruno?

• Ricardo makes $2.50 a week by doing chores, but right now he owes his parents a dollar. Bruno already has $6.50 but he spends a dollar a week on a snickers bar. After how many weeks will Ricardo have less money than Bruno?

• Ricardo makes $2.50 a week by doing chores, but right now he owes his parents a dollar. Bruno already has $6.50 but he spends a dollar a week on a snickers bar. After how many weeks will Ricardo have at least as much money as Bruno?