Writing One Variable Equations/Inequalities

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x) 

Which inequality represents the situation six more than twice a number is greater than 50?

• 6 + x > 50

• 6 + 2x < 50

• 2x + 6 > 50

• 6x + 2 > 50

Jo has 8 friends and makes 2 new friends per week. She doesn't want any more than 16 friends. Create an inequality to determine the number of weeks it will take Jo to reach her desired number of friends.

• 2x + 8 ≤ 16

• 16x +8 < 2

• 8x +2 ≤ 16

• 2x + 16 < 8

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8

• 0.50x + 4 < 8

• 0.50x +4 ≤ 8

• 4x +0.50 ≤ 8

Your cell phone plan allows you 400 minutes to talk per month. So far this month, you have used 265 minutes and you have 7 days left on this month’s plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don’t go over your monthly plan minutes?

• 7x + 265 < 400

• 7x + 265 ≤ 400

• 7x + 265 > 400

• 7x + 265 ≥ 400

Anita is saving for college and wants to take no fewer than $3000 with her for the fall semester. Her summer job pays $9/hour. She has already saved $720. How many hours will Anita have to work during the rest of the summer to meet her goal? Select the inequality that models the situation if h represents the number of hours Anita will need to work.

Solve the inequality:

2x + 5 > 2x + 8

• x > 3

• x > –3

• Infinite Solutions

• No Solution