Writing Equations
Write the equation for the table:
Seconds Miles
0 0
15 30
20 40
2x = y
y = 2x
What are the missing values if the equation for the table is y=5x?
Input Output
0 5
2 ?
5 25
12 ?
? #1 = 10
? #2 = 60
Gabby earns $5 dollars (d) for every hour (h) she tutors other students in math.
Independent Variable -
Dependent Variable -
Independent Variable - hours
Dependent Variable - dollars
The table below shows cupcake prices for a bakery. How much would one cupcake cost?
Cupcake Price
2 $6
5 $10
11 $22
One cupcake = $3
Are there any errors in the input-output table below if the equation for the table is 2x = y? If yes, identify the error(s).
input output
1 2
3 6
7 14
15 30
No errors
Write the equation for the table:
Input Output
0 0
1 13
2 26
3 39
13x = y
y = 13x
The input-output table below shows values for the equation 4x = y. What are the missing values?
Input Output
2 8
4 ?
8 32
10 ?
? 48
? #1 = 16
? #2 = 40
? #3 = 12
Seconds Miles
0 0
15 30
20 40
Independent Variable -
Dependent Variable -
Independent Variable - Seconds
Dependent Variable - Miles
A teacher is buying packs of pencils for their class. How many pencils would come in 15 packs of pencils?
Packs Pencils
4 20
6 30
8 40
15 packs = 75 pencils
Are there any errors in the input-output table below if the equation for the table is 5x + 1 = y? If yes, identify the error(s).
input output
1 6
3 16
7 31
15 76
Yes, when the input is 7 and the output should be 36.
Write the equation for the table:
x y
2 8
4 10
12 18
20 28
x + 6 = y
y = x + 6
Complete the input-output table using the equation:
x y
0 ?
1 6
2 12
7 ?
y: 0 and 42
A student created a graph and labeled the x-axis with days and the y-axis with pounds.
Independent Variable -
Dependent Variable -
Independent Variable - days
Dependent Variable - pounds
A lion at a zoo needs to eat 70 pounds of food in 2 days. How many pounds of food will the zoo need to buy to feed the lion for 16 days?
35x = 7
35(15) = 560
560 pounds of food
A student answered a quiz question on Mrs. Fisher's math test and said the equation for the table below is x ÷ 2 = y. Are they correct?
Miles Seconds
0 0
7 14
12 24
15 30
No, it should be 2x = y.
Write the equation for the table:
input output
15.6 21.6
32.9 38.9
49.3 58.3
x + 6 = y
y = x + 6
An ant walks across a parking lot at a rate of 3 feet per minute. Let x represent the number of minutes the ant has walked and y to represent the total distance the ant has traveled. Complete the table using the information from the scenario.
x y
0 ?
1 ?
2 ?
3 ?
y: 0, 3, 6, 9
A cell phone bill costs Jonathan $50 every month. He wants to figure out his total cost (c) for a certain number of months (m)
Independent Variable -
Dependent Variable -
Independent Variable - number of months (m)
Dependent Variable - total cost (c)
A towing company charges a $60 fee for 5 miles of towing. How much would Katie have to pay after her car is towed for 7.5 miles?
$12 per mile
12(7.5) = 90
Katie would have to pay $90.
A cupcake shop sells cupcakes at a price represented in the table below. A shopper said that they should only pay $11.50 for 18 cupcakes. Are they correct?
Number of Cupcakes Price
3 $2.25
5 $3.75
7 $5.25
No, they should pay $13.50.
Write the equation for the table:
x y
41.2 33.6
52.7 45.1
63.1 55.5
x - 7.6 = y
y = x - 7.6
An ant walks across a parking lot at a rate of 3 feet per minute. The ant traveled 21 feet before stopping. How many minutes did the ant walk?
7 minutes
A crate of apples costs $15.50 per crate . You want to buy a number of crates of apples (c) and find your total cost (t)
Independent Variable -
Dependent Variable -
Independent Variable - number of crates (c)
Dependent Variable - total cost (t)
A store is selling balloons represented in the table below. Sheldon wants to spend no more than $36.00 on balloons. How many balloons can he buy without going over his budget?
Number of Balloons Total Price
2 $2.50
4 $5.00
6 $7.50
1 balloon = $1.25
28 balloons = $35
28 balloons without going over budget
A husky can run 122 kilometers in four hours. A student who learned this fact said that in five hours, a husky should be able to run 142 miles.
Is the student correct? If not, how many kilometers could a husky run in five hours?
No, a husky runs 30.5 km per hour so five hours would be 152.5 km.