Expressions and Equations
Use the equation to answer the question.
18=3x + 12
What value of x makes the equation true?
2
A classroom had 35 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
14
What is the surface area of a cube that has side lengths of 3ft?
54 ft.^2
Find the mode and range of the following.
13 , 21 , 6 , 8 , 6 , 18 , 17 , 15 , 16 , 9 , 13 , 12
Mode: 6, 13
Range: 15
A computer programmer had two files with a total size of 68.76 gigabytes. If one of the files was 35.46 gigabytes, how big is the second file?
33.3 gigabytes
An expression is shown.
(m*m*m)+(y*y*y)
What is the equivalent expression when m=2 and y=5?
2^3+5^3
A recipe called for the ratio of sugar to flour to be 10 : 3. If you used 70 ounce of sugar, how many ounces of flour would you need to use?
21
Calculate the volume of a rectangular prism that measures a length of 5ft, width of 1/2ft, and height of 3ft.
7.5ft.^3
Find the mean of the following:
10 , 9 , 10 , 11 , 13 , 13 , 5
Mean: 10.14
Find the Great Common Factor:
28 , 42
14
Evaluate:
2✖️30-24➗2
48
At a farm the ratio of cows to horses was 9 : 2. If there were 72 cows at the farm, how many horses were there?
16 horses
Calculate the volume of a rectangular prism that measures a length of 8cm, width of 4cm, and height of 9cm.
288cm^3
Find the mean of the following:
3 , 6 , 10 , 5 , 16 , 3 , 6
Mean: 7
There are fifty-six students in the school band. If the band instructor put the students into rows with seven students in each row, how many rows could he make?
8 rows
What expression also equals 6b?
6*b
For each pound there are 16 ounces. Write an equation to express the total number of ounces (Z) in (y) pounds.
16y=z
What is the area of the triangle that has a base of 15m and a height of 4m?
30m^2
Determine of the following is a statistical question:
How many leaves did each branch have on it?
Yes
Amy had sixteen video games. If she put them into stacks with four in each stack, how many stacks could she make?
4 stacks
Tony paid $25.50 for 2 shirts. Each shirt costs the same amount.
Let n equal the cod of one new shirt.
Create the equation to find the cost.
What is the cost of one shirt?
25.50➗2=n
n=$12.75
Every dollar is 4 quarters. Write an equation to express the total number of quarters (Z) in (y) dollars.
4y=z
What is the area of the triangle that has a base of 12cm and a height of 3cm?
18cm^2
Determine of the following is a statistical question:
How many cars were sold this month?
8 4 4➗.73
1,156.1