Working with Variables
Ratios/Proportions
Formulas
Algebraic and Word Statements
Miscellaneous
100
Show your work and solve for x
x+8=21
x+8=21
-8 -8
x = 13
100
There are 10 pencils and 15 pens in the holder. Write a ratio comparing pens to pencils.
15:10
100
What is the formula for the area of a triangle. Show both methods.
A = 1/2 • b • h
or
A = b • h
2
100
Write an Algebraic statement and identify your variables:
Mia has a steady amount of subscribers on YouTube. She gains 22 new subscribers overnight. How many subscribers does she have now?
C= Current Subscribers, T = Total Subscribers
T = C + 22
100
What are the two types of Ratios?
Part to Part and Part to Whole
200
Show your work and solve for x
x • 4 =36
x • 4 =36
4 4
x = 9
200
There are 8 dogs and 6 cats left in the pet store. Write a ratio, in 2 formats, comparing the amount of cats to how many pets are left in the store.
6: 14, 6 to 14, 6/14
200
Find the Area of this rectangle and show your work.
A = b • h
A = 3 • 2
A = 6 cm2
200
Write the Algebraic Statement and identify your variables:
Jayden has money in his gaming account. He spends $3 on a new game. How much money does he have left?
A: money in account, L: how much is left
L = A - 3
200
Substitute x= 3, check if this statement is true, show your work.
18 = 21 - x
18 = 21 - 3
18 = 18
True
300
Show your work and solve for x
2 + x =19 - 7
2 + x =19 - 7
2 + x = 12
-2 -2
x = 10
300
A phone plan charges $24 for 4 GB of data. How much will 2 GB of data cost? Use the Horizontal Strategy and show your work and label your answer.
24 = x
4 2
4/2 = 2
so 24/2 = x
x = $12
300
Find the Area of this triangle. Show your work.
A = 1/2 • b • h
A = 1/2 • 21 • 8
a = 84
300
Write an Algebraic Statement and identify your variables:
A teacher takes all their pencils and splits them evenly among 2 groups of students. How many pencils will each group receive?
P= pencils per group, T= Total pencils the teacher has
P = T ÷ 2
300
1 • 2 =
2 3
2/6 or 1/3
400
Show your work and solve for y
y - 12 =15 ÷ 3
y - 12 =15 ÷ 3
y - 12 = 5
+12 +12
y = 17
400
A smoothie recipe uses 3 cups of strawberries for every 6 cups of yogurt. If you use 5 cups of strawberries, how many cups of yogurt will you need? Use vertical strategy, show your work, and label your answer.
3 = 5
6 x
3 • 2 = 6
so 5 • 2 = x
x = 10
400
Find the circumference of this circle using the formula C= 2 • π • r
C= 2 • π • r
C= 2 • 3.14 • 7
C = 43.96
400
Create a word statement matching the given variables for the following:
A = B + 6
There are 6 more Apples than Bananas in the fruit bowl.
There are 6 more Apes than Baboons in the zoo.
400
Solve and show your work
1 ÷ 6 =
3 18
1 • 18 = 18
3 6 18
or 1
500
Show your work and solve for T
3 • T = 16 + 5 - 3
3 • T = 16 + 5 - 3
3 • T = 18
3 3
T = 6
500
Every TA in school delivered 3 pink passes and 4 orange passes. If there were 172 orange passes delivered total, how many pink passes were delivered? Use a tape diagram to demonstrate.
P: [ 43 ] [ 43 ] [ 43 ]
O: [ 43 ] [ 43 ] [ 43 ] [ 43 ]
129 pink passes were delivered.
500
Find the area of the circle using the formula and show your work.
A = π • r2
A = π • r2
A = 3.14 • 22
A = 3.14 • 4
A = 12.56
500
Create a word statement matching the given variables for the following:
R = 3 • H
There are 3 times as many Rabbits as there are Horses on the farm.
There are 3 times as many Reeses Peanut Butter Cups as there are Hershey's bars in my Halloween bucket.
500
Why do students miss out on extra credit on Mrs. O'Neill's test?
They don't read through the directions.