Inequalities, Equations, Constant of Proportionality

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.

Which inequality can be used to determine the amount of money the family still needs to save?

• 2764 + x > 5000

• 2764 + x 5000

• 2764 + x 5000

• 5000 + x > 2764

Tags

CCSS.7.EE.B.4B

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.
The inequality 2764 + x  5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality?

•  x ≥ 2236

• x  $\ge$   7764

• x   $\le$  2236

• x   $\le$  7764

Tags

CCSS.7.EE.B.4B

An airline charges an extra fee if a suitcase weighs more than 50 pounds. After packing, Li’s suitcase weighs 47.75 pounds. Which inequality can be used to determine how much more weight can be added to the suitcase without going over the 50-pound weight limit?

• 47.75 + x < 50

• 47.75 + x ≤ 50

• 47.75 + x ≥ 50

• 47.75 + x > 50

Tags

CCSS.7.EE.B.4B

Solve the inequality 47.75 + x 50 to determine how much more weight can be added to Li’s suitcase without going over the 50-pound limit. What is the solution set?

• x ≤ 2.25

• x≤ 2.75

• x ≥ 2.25

• x ≥ 2.75

Tags

CCSS.7.EE.B.4B

Which of the word phrases can be represented by the symbol ? Check all that apply.

• below

• at most

• no greater than

• no smaller than

• minimum

Tags

CCSS.6.EE.B.8

Which is a possible translation of x ≥ 5?

• A number is less than or equal to 5.

• A number is at least 5.

• A number is no more than 5.

• A number is more than 5.

Tags

CCSS.6.EE.B.8

The giraffes at the Liberia zoo eat 75 pounds of food per day, and 52.5 pounds per day comes from acacia leaves. How much of their diet comes from other types of leaves?

Julia, the zookeeper, used the equation 52.5 + x = 75 to find the answer. Which equation is an equivalent equation that can be used to solve the problem?

• x + 75 = 52.5

• 52.5 + 75 = x

• 75 – 52.5 = x

• x – 52.5 = 75

Tags

CCSS.6.EE.B.7

Bernard typically runs x km/hour. While he was sick, he only ran 41.5 km/hour. What equation represents that the difference in his speeds is 13.5 km/hour?

• x – 41.5 = 13.5

• 41.5 + x = 13.5

• 13.5 – x = 41.5

• 13.5 – 41.5 = x

Tags

CCSS.HSA.CED.A.3

Which sentences describe the relationship between an expression and an equation? Select all that apply.

• An equation contains variables; an expression never does.

• An equation contains an equal sign; an expression does not.

• An expression has addition and subtraction; an equation never does.

• Both expressions and equations contain numbers and/or variables.

• An expression involves multiplication, but equations only use addition.

x – 4 = 12.5 can be written in words as:

• The difference of a number and x.

• The sum of a number and 4 is 12.5.

• x subtracted from 4 is equal to 12.5.

• A number decreased by 4 is the same as 12.5.