Write and Solve Inequalities

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6th Grade Weekly Skill Sheet #13
Name _______________________________________
Date _________________
Write and Solve Inequalities
For numbers 1 and 2, write an inequality for the given statement.
1)
Daniel has less than 12 pencils.
___________________
2)
Stacey has a least 16 marbles.
____________________
For numbers 3-6, solve the inequality and then graph each solution set on the
number line. Show ALL work.
3)
4)
5)
6)
For numbers 7, give two solutions for the inequality.
7)
12 < x
________, ________
6th Grade Weekly Skill Sheet #13
For numbers 8-11, write an inequality for each real-world problem.
8)
Jill is trying to earn enough money to buy a new bike. A new bike will
cost more than $150. Jill has already earned $55 babysitting. Write and
solve an addition inequality to show how much more money Jill needs to
make in order to be able to buy her new bike.
9)
Mary is making each of her 6 friends a necklace. She does not want to
spend more than $35 on the necklaces. Write and solve a multiplication
inequality to show how much money Mary can spend on each necklace.
10)
It costs the Smith family $150 to grow daffodils. They sell each bunch of
daffodils for $5. Write and solve a division inequality to show how many
bunches of daffodils they need to sell in order to make a profit.
11)
Mike wants to spend at least $20 on an ad in the newspaper. He has
$12. Write and solve a subtraction inequality to show how much more
money Mike needs.
For number 12, use substitution to help you determine if the given value is a
solution for the inequality. Answer by circling yes or no.
12)
m  13 when m = 15
Yes
No
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