1-15 Tell me answers in order from 1-15
1. Solve x+15≥3. Make sure to write your inequality so that x comes first.
2. Use the image to answer the question.
the chart shows a open circle between the 4 and 5
Willow solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
Responses
x - 2 1/3
< 2 /16
x - 2 and 1 third < 2 and 1 sixth
x + 1.75 ≤ 5.75
x + 1.75 ≤ 5.75
x + 2 1/2
< 2 1/2
x + 2 and 1 half < 2 and 1 half
x - 1.5 ≤ 3
3. Solve 3.4x≥23.8 . Make sure to write your inequality so that x comes first
4. Use the image to answer the question.
the graph shows 4 open circle arrow going left to 10-
Paolo solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve? (1 point) Responses 3.7x>14.8 3.7 x greater than 14.8 4.9x>19.6 4.9 x greater than 19.6 2.8x<10.5 2.8 x less than 10.5 2.1x<8.4
5. Solve 8x−14≤10 . Make sure to write your inequality so that x comes first.(1 point)
6. Solve 5.14x 2.25>15.1 . Write the rational number in your answer in decimal form to the tenths place. Make sure to write your inequality so that x comes first.(1 point)
7. Preston solved an inequality and graphed the solution on the number line. Which of the following inequalities did he solve?
(1 point)
Responses
3.4x - 1.2 ≥ 4.75
3.4 x - 1.2 ≥ 4.75
5.6x - 18.9 ≤ 0.7
5.6 x - 18.9 ≤ 0.7
0.9x + 2.8 ≤ 5.95
0.9 x + 2.8 ≤ 5.95
2.1x + 5.6 ≥ 8.75
2.1 x + 5.6 ≥ 8.75
8. Eleven and a half is added to the product of a number and seventy-two. This sum is no more than six hundred thirty-four. Write an inequality that could be used to solve this problem. Use the letter x as your variable. Write any fractions as mixed numbers. Do not solve the inequality. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point)
9. There are already forty-two people signed up for events at the community center field day. The event leader says the number of people signed up must be above one hundred eighty in order for the field day to happen. People sign up to participate in pairs. How many more pairs need to sign up? Write an inequality that could be used to solve this problem. Use the letter x as your variable. Do not solve the inequality. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point)
10. Eleven and a half is added to the product of a number and five. This sum is no more than six-hundred thirty-four. Niles writes the inequality 5x 1112≤634 , where x equals the number, to solve for the value of the number. Solve his inequality. Enter your solution with x first. If there are any non-integer values in your solution, write them as mixed numbers. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point)
11. There are already thirty-six people signed up for events at the community center field day. The event leader says the number of people signed up must be above one-hundred-eighty for the field day to happen. People sign up to participate in groups of six. Leann is trying to figure out how many more groups of six need to sign up. She writes the inequality 6x 36>180 , where x equals the number of groups of six, to help figure this out. Solve her inequality. Enter your solution with x first. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point)
12. Marjam has a goal of taking at least 10,000 steps today. According to her watch, she got 2,500 steps in the morning. There are 10 hours left in the day. How many steps will she need to get each hour (assume she walks the same number of steps each hour) for the rest of the day to meet her goal? Solve this problem. Which graph most clearly communicates the solution?(1 point)
13. What inequality is shown on the graph? Write your inequality with the variable coming first. Use the letter m for the variable. Write your answer using a decimal number.%0D%0A%0D%0ANote: You will find the option to add a >, <, ≥, or ≤ symbol in the Comparison (<) keyboard.%0D%0A%0D%0A(1 point)
14. Lily is saving up to buy a cellphone. She needs to save at least $300 before she is able to buy the phone. Her grandfather gives her $40, and she earns $65 tutoring after school each week. Write an inequality for the number of weeks Lily will need to save to have at least $300, and describe the solutions.(2 points) x ≥ , where x is the number of weeks Lily will need to save. Lily must save for at least weeks to have at least $300.
15. Solve this problem by writing and solving an inequality. Five more than four times a number is less than 25. What are the possible values of the number? Show your work. (4 points)
1 answer
2. x < 4.5
3. x ≥ 7
4. 2.1x < 8.4
5. x ≤ 6
6. x > 0.45
7. 0.9x + 2.8 ≤ 5.95
8. 72x + 11.5 ≤ 634
9. 2x > 138
10. x ≤ 105.8
11. x > 27
12. 10,000 - 2,500 - 10x ≤ 0 (Graph 1)
13. m ≤ 2.5
14. x ≥ (300 - 40) / 65 (Lily must save for at least 4.307 weeks)
15. 4x + 5 < 25
4x < 20
x < 5