Pre algebra final test
Introduction :
Example problems for pre algebra final test:
Example 1:
Solve for x: x + 2y + 3z = 24, given y = 1 and z = 3
Solution:
x + 2y + 3z = 24
x + 2 + 3(3) = 24
x + 2 + 9 = 24
x + 11 = 24
x = 13
Example 2:
Simplify for y: 7 ( y + 7 ) = 49
Solution:
7 ( y + 7 ) = 49
7y + ( 7 x 7 ) = 49
7y + 49 = 49
7y = 0
y = 0
Example 3:
Find the area of a triangle through base of 6 cm and a height of 5 cm.
Solution:
Area of a triangle = ½ b h
= ½ ( 6 ) ( 5 )
= 0.5 * 6 * 5
= 15 cm2
Example 4:
Out of 350 seats in a theatre,230 seats are occupied. Find the percentage of seats occupied.
Solution:
Total seats = 350
Occupied seats = 230
Percentage = `<< 230 / 350>>` x 100
= `<< 23/35>>` x 100
= 65.7
Pre algebra final test questions:
1) Evaluate: Z3. Y2 when Y = 2 and Z = 3
2) Solve for a: a + b + 3c = 21, given b = 1 and c = 2
3) Solve: 5m = 35
4) The sum of a number and 25 is 40. Find the number.
5) Find the LCM of 25 and 45
6) `12/22` x `2/16`
7) Solve: x + `5/4` = `9/4`
8) Write 0.017 as fraction
9) Solve: ` p/12 ` = `4/8`
10) Write 190 percent as fraction and decimal.
11) Find the volume of cylinder with radius 3 cm and height is 4 cm
12) A school hall has 300 seats. 250 of them are occupied. Find the percentage of the seats occupied.
13) The radius of a circle is 12 m. Find its area.
14) Calculate the perimeter of equilateral triangle with the side length 7 cm
15) Find the area of a triangle through base of 6 cm and a height of 4 cm.
Answer key:
1) 108 2) 14 3) m = 7 4) 15 5) 225 6) `3/44` 7) x = 1 8) `17/1000` 9) p = 6
10) `19/10` and 1.9 11) 113.04 cm3 12) 83.33 13) 452.16 m2 14) 21 cm 15) 12 cm2
- Pre-algebra is a common name for a course in middle school mathematics. In the United States, it is generally taught between the seventh and ninth grades.(Source - Wikipedia )
- Usually, final test will be conducted at the end of the academic term.
- In this article of pre algebra final test, few example problems and test questions related to pre algebra are given.
Example problems for pre algebra final test:
Example 1:
Solve for x: x + 2y + 3z = 24, given y = 1 and z = 3
Solution:
x + 2y + 3z = 24
x + 2 + 3(3) = 24
x + 2 + 9 = 24
x + 11 = 24
x = 13
Example 2:
Simplify for y: 7 ( y + 7 ) = 49
Solution:
7 ( y + 7 ) = 49
7y + ( 7 x 7 ) = 49
7y + 49 = 49
7y = 0
y = 0
Example 3:
Find the area of a triangle through base of 6 cm and a height of 5 cm.
Solution:
Area of a triangle = ½ b h
= ½ ( 6 ) ( 5 )
= 0.5 * 6 * 5
= 15 cm2
Example 4:
Out of 350 seats in a theatre,230 seats are occupied. Find the percentage of seats occupied.
Solution:
Total seats = 350
Occupied seats = 230
Percentage = `<< 230 / 350>>` x 100
= `<< 23/35>>` x 100
= 65.7
Pre algebra final test questions:
1) Evaluate: Z3. Y2 when Y = 2 and Z = 3
2) Solve for a: a + b + 3c = 21, given b = 1 and c = 2
3) Solve: 5m = 35
4) The sum of a number and 25 is 40. Find the number.
5) Find the LCM of 25 and 45
6) `12/22` x `2/16`
7) Solve: x + `5/4` = `9/4`
8) Write 0.017 as fraction
9) Solve: ` p/12 ` = `4/8`
10) Write 190 percent as fraction and decimal.
11) Find the volume of cylinder with radius 3 cm and height is 4 cm
12) A school hall has 300 seats. 250 of them are occupied. Find the percentage of the seats occupied.
13) The radius of a circle is 12 m. Find its area.
14) Calculate the perimeter of equilateral triangle with the side length 7 cm
15) Find the area of a triangle through base of 6 cm and a height of 4 cm.
Answer key:
1) 108 2) 14 3) m = 7 4) 15 5) 225 6) `3/44` 7) x = 1 8) `17/1000` 9) p = 6
10) `19/10` and 1.9 11) 113.04 cm3 12) 83.33 13) 452.16 m2 14) 21 cm 15) 12 cm2