Worksheet 7.1 Practice With Slope
Determine the slope ratio of the graphs below:
Write the slope of the line containing each pair of points:
5. (-6, -6) and (3, 12)
6. (-4, 11) and (2, 7)
7. (-8, 6) and (10, -3)
8. (4, 8) and (7, 20)
Unit 3 Section 8.6 Graphing Linear Inequalities
When we graph linear inequalities in two-dimensions (x and y), we graph them using the same
methods we use to graph lines. The line we graph is called the boundary line.
There are only two diff
Unit 3 - Section 8.5 Graphing Systems of Linear Equations
A _ is two or more linear equations
considered at the same time. For any one equation, there are an infinite number of solutions.
For example, look at the equation:
y = 2x+1
(0, 1), (
Unit 3 - Section 8.3 Horizontal and Vertical Lines
What happens when one of the coefficients in an equation for a line in standard form is zero?
The coefficient of x could be zero.
The coefficient of y could be zero.
All points with a y-coor
Unit 3: Introduction to Graphing
The points we graph are called _. Remember that they are written in
the format: (x, y). So in the example (2, 6) two is the _ value and six is the _ value.
Plot the following ordered pairs on the grid below:
Unit 3 - Section 8.1 Slope-Intercept Form
Slope-Intercept Form of a Line: _ where m represents the
_ of the line and b represents the _.
Example 1: State the slope and the y-intercept for the following equations:
Unit 3 - Section 7.1 Slope
In mathematics, slope is _.
The slope of a line is the ratio of _ over _ for any two points on the line.
A positive slope means _.
A negative slope means _.
The formula to determine the slope between any two points
Unit 3 Solving Systems of Equations Algebraically
*Method 1 Substitution:
The substitution method is used to eliminate one of the variables by replacement when solving a
system of equations. Think of it as "grabbing" what one variable equals
Unit 3 Section 8.7 Systems of Linear Inequalities
To solve systems of linear inequalities, we _,
and then look for _ of the various solutions.
*Example 1: Solve the system of inequalities.
*Example 2: Solve the system of inequal
Unit 3 - Section 8.2 Standard Form & Intercepts
Another way to write a _ or the equation of line, is in
_. Standard form of a linear equation is:
For example, _ is a linear equation in standard form. When a linear equation is
in standard f
Unit 3 - Section 8.4 Writing the Equation of a Line
Find the equation of a line through the points (-2, 4) and (1, 5) without graphing.
1) General equation of a line:
2) Calculate the slope:
3) Find the y-intercept:
4) Write the f
2-7 Solving Equations: Balancing
The solution of an equation is
Solving an equation
One way to solve an
is to make changes to
until the variable is alone on
and the solution is
The changes you make must keep the equations
Section 5.5 - Solving Equations for a Given Variable
What does it mean to solve for a variable?
For example, when you solve for x, the equation should look like x = _ .
Example #1: Solve -5x + y = -56 for x.
Ask yourself, What is being done
Solving Linear Inequalities
Solving inequalities is very similar to solving equations:
One important distinction is that if you multiply or divide both sides by a negative number, you must flip
the sign of the inequality:
Unit 2 Review
Name _ Period
Date _ Box
I. Solve each equation. Show work for partial credit. Show a check for each problem.
1) 8x + 22 = 6
2) 4x 27 + x = 23
4) 12 + 5(2 b) = -3
5) -2n + 32 = -6n
6) 8k = -2(15 + k)
7) -(42 7x)
8) 8 (-2
Section 5.1 Word Problems Using Equations
What are we trying to find?
Assign a variable
Write an equation
Solve, label answer
Set up an equation and solve to find the answer.
1) Marcus left his bicycle at a repair
Algebraic Expressions and Equations Practice Test
Part I. Simplify the given expressions.
1.) 3m 2m
2.) 16 11x + 5y 4 + 2x
3.) 8b 2 - 4 b + 19 - 17b + 5b 2
4.) 7 p - 5q + 12 p + 9 + 3q - 11
5.) 8y 7 when y = 2
6.) x 2 - 3 x + 9 when x = -
Section 2.9 Square Roots and Cube Roots Notes
*Square Root: _
The symbol stands for the: _
The symbol stands for the: _
The symbol stands for: _
Type of Number
Rational Number: _
Irrational Number: _