Basics of Linear Equations
The slope-intercept form of a linear equation is written as this.
what is y=mx+b?
This term describes the steepness of a line.
What is the slope?
To isolate x in the equation 2x=10, you need to do this operation.
What is divide both sides by 2?
This method of solving systems involves adding or subtracting equations to eliminate one variable.
What is the elimination method?
If a store sells pens for $1 each, this linear equation represents the total cost y for x pens.
What is y=x?
In the equation y=2x+3, this is the slope.
What is 2?
The coordinates (0,b) identify this point on a graph.)
What is the y-intercept?
In the equation x+5=12, this is the value of x.
What is 7?
In a system of two linear equations, if the lines are parallel, the number of solutions is this.
What is zero/no solutions?
This is the slope representing the rate of change per unit time if a car travels 60 miles per hour.
What is 60?
In y=-3x+1, changing the -3 to a 3 would change this feature of the line.
If two linear graphs have different slopes, how many solutions will they have?
What is one solution?
For 4x-6=10, these steps are necessary to solve for x.
What is add 6 to both sides and then divide by 4?
The solution to the system of equations is y=2x+1 and y=3x-4 is this.
What is (5,11)?
To find how many apples Johnny can buy with $20 if each apple costs $4, set up this equation.
What is 4x=20?
The graph of a linear equation is typically this shape?
What is a straight line?
The graph of y=-1/2x+4 has this slope and y-intercept.
What is a slope of -1/2 and y-intercept of 4?
n solving 2(x-3)=8, this is the value of x.
What is 7?
This method involves substituting one equation into another to find the solution of a system.
This value is the y-intercept if a taxi charges a $5 base fee and $2 per mile.
What is 5?
In the equation 4x-2y=12, this is the y-intercept when converted to slope-intercept form?
What is -6?
This is the x-intercept of the line 3x+2y=6
What is (2,0)?
To solve the equation 3(x+2)-4=11, follow this sequence of steps.
What is distribute 3, then combine like terns, then subtract by 2, then divide by 3?
For the system of equations 2x+3y=12 and x-y=1, solve using substitution.
What is (3,2)?
A phone company charges $30 per month plus $0.10 per text. Write the equation allowing you to calculate the total monthly charge for t texts.
What is y=0.10x+30?