Algebra 1 unit 4
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, combinatorics, and number theory, algebra is one of the main branches of pure mathematics (Source: Wikipedia) in this topic we discussed about Algebra 1 unit 4 introduction and Algebra 1 unit 4 example problems.
Algebra 1 Unit 4 Example Problem 1:
y = 2x - 4
Algebra 1 Unit 4 Example Problem 2:
To find the eqn of the line through the points (-1, -1) and (-1, 2), we use the slope m.
m = (y2 - y1) / (x2 - x1) = (2 - -1) / (-1 - -1) = 3 / 0
The slope is defined which means the line is perpendicular to the x axis and its equation has the form x = constant. Since all points have equal x coordinates -1, the equation is given by:
x = -1
Algebra 1 Unit 4 Example Problem 3:
1. Find the statement is equal or not equal: 7(-4x - 3) - (x - 4) = -8(2x + 6) + 11
Answer: Not Equal.
2. To find the equation of the line through the points (-2, -2) and (-2, 1), we first use the slope m.
Answer: Slope m =1/0
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, combinatorics, and number theory, algebra is one of the main branches of pure mathematics (Source: Wikipedia) in this topic we discussed about Algebra 1 unit 4 introduction and Algebra 1 unit 4 example problems.
Algebra 1 Unit 4 Example Problem 1:
- Given the equation
- Multiply factors.
- Group like terms.
- Add 8x + 1 to both sides
- Hence the statement is true for all values of x and therefore all real numbers are solutions to the given equation.
- Given the line
- Rewrite the eqn in slope intercept form y = mx + b and identify the value of m the slope.
y = 2x - 4
- The slope is given by the coefficient of x which is 1.
Algebra 1 Unit 4 Example Problem 2:
To find the eqn of the line through the points (-1, -1) and (-1, 2), we use the slope m.
m = (y2 - y1) / (x2 - x1) = (2 - -1) / (-1 - -1) = 3 / 0
The slope is defined which means the line is perpendicular to the x axis and its equation has the form x = constant. Since all points have equal x coordinates -1, the equation is given by:
x = -1
Algebra 1 Unit 4 Example Problem 3:
- Given the equation
- To find the x intercept we set y = 0 and solve for x.
- Solve for x.
- The x intercept is at the point ( 5 , 0).
1. Find the statement is equal or not equal: 7(-4x - 3) - (x - 4) = -8(2x + 6) + 11
Answer: Not Equal.
2. To find the equation of the line through the points (-2, -2) and (-2, 1), we first use the slope m.
Answer: Slope m =1/0