Algebraic Relationships Equations Tables and Graphs

The relationship between the number of marbles and the number of bags can be represented by m = 16b, where m is the number of marbles and b is the number of bags. Which sentence best describes the relationship between m and b?

• The (total) number of marbles depends on the amount of bags given.

• The amount of bags depends on the amount of marbles.

Marco needs an amount, y, to buy new basketball shoes. If Marco earns $3 per day, x, working and already has $12 saved, which equation shows the relationship between x and y?

• 9x = y

• 3x + 12 = y

• 3x - 12 = y

• 15x = y

Using the table, determine the missing value using the equation 2x + 7 = y? 

• 22
• 21
• 16
• 14

Which equation is shown in the table above? 

• z = x - 6
• z = 6x
• z = x - 6
• z = x + 6

What does s  equal when  r= 16?
s = 3r +1

• s = 18
• s = 20
• s = 48
• s = 49

Which algebraic equation best describes the total distance (D) in miles Aaron has run over a 12 month period, if m equals the distance Aaron ran in miles per month? 

• D = m/12 
• D = m + 12
• D = 12/m
• D = 12m

Georgia has collected the same amount of shells each minute she is searching the beach. Georgia made the following table showing the number of shells she had collected.

Which Equation best represents the table?

• m/2 =n

• 2m = n

• m + 5 = n

• n - 5 = m

Daniel is helping his mom fold the laundry. He folds towels at a constant speed. He made the following table showing how many towels he could fold in a certain number of seconds.

Select all equations that apply.

• s = 30t

• t = 30s

• t = s divided by 30

• s = t divided by 30

Mr. Hudkins wants his 6th grade math class to memorize their multiplication facts.  He decides to increase the number of facts they are expected to memorize each week and creates the following table.
Using w = number of weeks and m = number of multiplication facts, which of the following equations is represented by the table Mr. Hudkins created? 

• m = 30(2w)
• m = 15 + w
• w = 15m
• m = 15w

Olivia went for a hike. The graph shows the distance she had hiked at different lengths of time.

What does the point (1, 2) represent?

• Olivia hiked for 2 hours and covered a distance of 1 mile.
• Olivia hiked for 1 hour and covered a distance of 2 miles.
• Olivia hiked for 1 hour and covered a distance of 2 feet.