Grade 12 algebra questions
Introduction :-
In this article we are learning about the grade 12 algebra questions concept. Algebra is bringing cluster together of mathematics. Grade 12 algebra questions cover the four basic operations such as addition, subtraction, multiplication and division. The most important term of grade 12 algebra questions is variable, constant, coefficient, exponent, term and expression. Grade 12 algebra questions besides numerals we use symbols and alphabets in place of unknown numbers to make a statement. Hence, grade 12 algebra questions may be regard as an addition of Arithmetic.
Example grade 12 algebra questions problems:-
Example problem 1:-
Write an Equation for the nth Term
Find the equation for the nth term of the arithmetic sequences 1, –4, –9, –14, ….
In this sequence, a1 = 1 and d = –5. Apply the nth term formula to write an equation.
Solution:-
an = a1 + (n – 1)d Formula for the nth term
an = 1 + (n – 1)(–5) a1 = 1, d = –5
an = 1 + (–5n) + 5 Distributive Property calculator
an = –5n + 6 Simplify.
An equation is an = –5n + 6.
Example problem 2:-
Equation with Rational Roots
Solve 2x2 – 36x + 162 = 32 by using the Square Root Property.
Solution:-
2x2 – 36x + 162 = 32 Original equation
2(x2 – 18x + 81) = 2(16) Factor out the GCF.
x2 – 18x + 81 = 16 Divide each side by 2.
(x – 9)2 = 16 Factor the perfect binomial square.
x – 9 = ± 16 Square Root Property
x – 9 = ±4 `sqrt(16)` = 4
x = 9 ± 4 Add 9 to each side.
x = 9 + 4 or x = 9 – 4 Write as two equations.
x = 13 x = 5 Solve each equation.
The solution set is {5, 13}. Here check this result by apply factoring to solve the original equation.
Practice grade 12 algebra questions problems:-
1) Solve x2 + 10x + 25 = 108 by using the Square Root Property.
Answer:-
x ≈ 5.4 or x ≈ –15.4
2) Find the Sum of an Arithmetic Series
Find the sum of 19 + 11 + 3 + (–5) + … + (–69).
Answer:-
The sum of the series is –300.
In this article we are learning about the grade 12 algebra questions concept. Algebra is bringing cluster together of mathematics. Grade 12 algebra questions cover the four basic operations such as addition, subtraction, multiplication and division. The most important term of grade 12 algebra questions is variable, constant, coefficient, exponent, term and expression. Grade 12 algebra questions besides numerals we use symbols and alphabets in place of unknown numbers to make a statement. Hence, grade 12 algebra questions may be regard as an addition of Arithmetic.
Example grade 12 algebra questions problems:-
Example problem 1:-
Write an Equation for the nth Term
Find the equation for the nth term of the arithmetic sequences 1, –4, –9, –14, ….
In this sequence, a1 = 1 and d = –5. Apply the nth term formula to write an equation.
Solution:-
an = a1 + (n – 1)d Formula for the nth term
an = 1 + (n – 1)(–5) a1 = 1, d = –5
an = 1 + (–5n) + 5 Distributive Property calculator
an = –5n + 6 Simplify.
An equation is an = –5n + 6.
Example problem 2:-
Equation with Rational Roots
Solve 2x2 – 36x + 162 = 32 by using the Square Root Property.
Solution:-
2x2 – 36x + 162 = 32 Original equation
2(x2 – 18x + 81) = 2(16) Factor out the GCF.
x2 – 18x + 81 = 16 Divide each side by 2.
(x – 9)2 = 16 Factor the perfect binomial square.
x – 9 = ± 16 Square Root Property
x – 9 = ±4 `sqrt(16)` = 4
x = 9 ± 4 Add 9 to each side.
x = 9 + 4 or x = 9 – 4 Write as two equations.
x = 13 x = 5 Solve each equation.
The solution set is {5, 13}. Here check this result by apply factoring to solve the original equation.
Practice grade 12 algebra questions problems:-
1) Solve x2 + 10x + 25 = 108 by using the Square Root Property.
Answer:-
x ≈ 5.4 or x ≈ –15.4
2) Find the Sum of an Arithmetic Series
Find the sum of 19 + 11 + 3 + (–5) + … + (–69).
Answer:-
The sum of the series is –300.