Solving Inequalities Word Problems

Write this mathematical sentence using algebra:

6 is added to a number x. Then the result is multiplied by 9. The final answer is greater than 99.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Write this mathematical sentence using algebra:

7 is subtracted from a number y. Then the result is multiplied by 3. The final answer is less than or equal to 12.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Write this mathematical sentence using algebra:

A number z is multiplied by 4. Then 8 is subtracted from the result. The final answer is greater than or equal to 28.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Write this mathematical sentence using algebra:

A number p is multiplied by 3, and then 10 is added to the result; the final answer is less than 31.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Gloria starts with five times as much money as Hamish.

Gloria gives $8 to Hamish, and then Hamish has more money than Gloria.

If Hamish starts with $h, then which of the following is a correct inequality for h?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

CCSS.6.EE.C.9

Of 9 kittens, there are more boys than two times the number of girls.How many boy kittens could there be?

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Rose took a quiz with 30 questions, and got less than half as many questions wrong as she got right. How many questions could she have got right?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Josh invests $5,000 in a savings account yielding 2.5% interest compounded annually.At the end of how many years will the amount in the savings account exceed $5,600?

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

How many two-digit numbers with the ones digit greater than zero are there that are greater than three times the number that is created out of these numbers by reversing its digits?

• 6

• 10

• 15

• 22

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

The denominator of a positive fraction is less than 5. If the numerator and the denominator of the fraction are both increased by 2, the resulting fraction is less than three fifths. What can you say about the numerator of the original fraction?

• The numerator is 1.

• The numerator is 2.

• The numerator is 1 or 2.

• The numerator is greater than 2.

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8