I need help with algebra 2
Introduction :
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatory, and number theory, algebra is one of the main branches of pure mathematics. (Source: Wikipedia)
Example problems for i need help with algebra 2:
I need help with algebra 2 – Example: 1 Solve: 9(b – 6) – 11b - 21 = 24(b + 2)
Solution:
Given expression is
9(b – 6) – 11b - 21 = 24(b + 2)
Multiplying the integer terms
9b + 54 – 11b - 21 = 24b + 48
Grouping the above terms
-2b + 33 = 24b + 48
Subtract 33 on both sides
-2b + 33 - 33 = 24b + 48 - 33
Grouping the above terms
-2b = 24b+ 15
Subtract 24by on both sides
-2b – 24b = 24b + 15 – 24b
Grouping the above terms
-26b = 15
Divide -26 on both sides
b = -15/26
Answer: b = -15/26.
I need help with algebra 2 – Example: 2 Simplify (7x2 – 8x – 9) + (5x2 – 6x – 11) - (–6x2 + 5x + 5)
Solution:
(7x2 – 8x – 9) + (5x2 – 6x – 11) - (–6x2 + 5x + 5)
= 7x2 – 8x – 9 + 5x2 – 6x – 11 + 6x2 - 5x - 5
= 7x2 + 5x2 + 6x2 – 8x – 6x - 5x – 9 – 11 - 5
= 17x2– 19x – 25
Answer: (7x2 – 8x – 9) + (5x2 – 6x – 11) - (–6x2 + 5x + 5) = 17x2– 19x – 25
I need help with algebra 2 – Example: 3 Solve for x and y for the following equations
7x + y = 19
17x + y = 39
Solution:
7x + y = 19 ------- (1)
17x + y = 39 ------- (2)
Solve the 1st equation for the y
y = 19 - 7x
Now, we substitute 21 - 7x for y in the 2nd equation.
17x + (19 - 7x) = 39
10x + 19 = 39
10x = 39 – 19
10x = 20
x = 2
Now, we substitute value x = 2 in the equation 1.
7x + y = 19
7(2) + y = 19
y = 5
Therefore the value of x = 2 and y = 5
I need help in algebra 2 – Example: 4 To determine the 8x + 4y = 24 equation on the x and y intercepts.
Given:
8x + 4y = 24
Solution:
8x + 4y = 24
To find the x intercept of y = 0 and solve for x.
8x + 0 = 24
Solve the value of x.
x = 3
To find the y intercepts of x=0 and solve for y.
8(0) + 4y = 24
Solve the value of y
4y = 24
y = 6
Answer: x and y intercept of the point is (3,6)
Practice problems for i need help with algebra 2:
1. Solve: 7(y - 8) – 9y - 6 = 5(y + 12)
[Answer: y = -10/7]
2. Solve for x and y for the following equations
8x + y = 11
12x + y = 15
[Answer: x = 0 and y = 11]
3. To determine the 7x - 13y = 16 equation on the x and y intercepts
[Answer: x and y intercept of the point is `[(16)/(7), (-13)/(16)]`
4. Simplify (5x3 + 3x2 + 7x – 8) – (4x3 – 6x2 – 4x + 5) - (5x2 – 3x – 4)
[Answer: (5x3 + 3x2 + 7x – 8) – (4x3 – 6x2 – 4x + 5) - (5x2 – 3x – 4) = x3 + 14x2 + 14x –9]
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatory, and number theory, algebra is one of the main branches of pure mathematics. (Source: Wikipedia)
Example problems for i need help with algebra 2:
I need help with algebra 2 – Example: 1 Solve: 9(b – 6) – 11b - 21 = 24(b + 2)
Solution:
Given expression is
9(b – 6) – 11b - 21 = 24(b + 2)
Multiplying the integer terms
9b + 54 – 11b - 21 = 24b + 48
Grouping the above terms
-2b + 33 = 24b + 48
Subtract 33 on both sides
-2b + 33 - 33 = 24b + 48 - 33
Grouping the above terms
-2b = 24b+ 15
Subtract 24by on both sides
-2b – 24b = 24b + 15 – 24b
Grouping the above terms
-26b = 15
Divide -26 on both sides
b = -15/26
Answer: b = -15/26.
I need help with algebra 2 – Example: 2 Simplify (7x2 – 8x – 9) + (5x2 – 6x – 11) - (–6x2 + 5x + 5)
Solution:
(7x2 – 8x – 9) + (5x2 – 6x – 11) - (–6x2 + 5x + 5)
= 7x2 – 8x – 9 + 5x2 – 6x – 11 + 6x2 - 5x - 5
= 7x2 + 5x2 + 6x2 – 8x – 6x - 5x – 9 – 11 - 5
= 17x2– 19x – 25
Answer: (7x2 – 8x – 9) + (5x2 – 6x – 11) - (–6x2 + 5x + 5) = 17x2– 19x – 25
I need help with algebra 2 – Example: 3 Solve for x and y for the following equations
7x + y = 19
17x + y = 39
Solution:
7x + y = 19 ------- (1)
17x + y = 39 ------- (2)
Solve the 1st equation for the y
y = 19 - 7x
Now, we substitute 21 - 7x for y in the 2nd equation.
17x + (19 - 7x) = 39
10x + 19 = 39
10x = 39 – 19
10x = 20
x = 2
Now, we substitute value x = 2 in the equation 1.
7x + y = 19
7(2) + y = 19
y = 5
Therefore the value of x = 2 and y = 5
I need help in algebra 2 – Example: 4 To determine the 8x + 4y = 24 equation on the x and y intercepts.
Given:
8x + 4y = 24
Solution:
8x + 4y = 24
To find the x intercept of y = 0 and solve for x.
8x + 0 = 24
Solve the value of x.
x = 3
To find the y intercepts of x=0 and solve for y.
8(0) + 4y = 24
Solve the value of y
4y = 24
y = 6
Answer: x and y intercept of the point is (3,6)
Practice problems for i need help with algebra 2:
1. Solve: 7(y - 8) – 9y - 6 = 5(y + 12)
[Answer: y = -10/7]
2. Solve for x and y for the following equations
8x + y = 11
12x + y = 15
[Answer: x = 0 and y = 11]
3. To determine the 7x - 13y = 16 equation on the x and y intercepts
[Answer: x and y intercept of the point is `[(16)/(7), (-13)/(16)]`
4. Simplify (5x3 + 3x2 + 7x – 8) – (4x3 – 6x2 – 4x + 5) - (5x2 – 3x – 4)
[Answer: (5x3 + 3x2 + 7x – 8) – (4x3 – 6x2 – 4x + 5) - (5x2 – 3x – 4) = x3 + 14x2 + 14x –9]