Master Algebra 1 Word Problems with our Comprehensive Practice

Write an equation in point slope form of a line that passes through (3,0), and has slope m= -2

Find slope of the line perpendicular to the line y=-7

What is the sum of the arithmetic sequence 140, 135, 130 , if there are 35 terms?

Is -12, -5, 2, and 9 a geometric sequence?

Find ${\displaystyle a_{24}}$ if ${\displaystyle a_{17}=-82,d=-3}$

Tell me what is meant by a geometric sequence

Write an equation in point-slope form for the given (–2, 1) and (4, 13)

Find the slope of any line perpendicular to the line passing through (15,−12) and (30,34)

Find the slope of a line perpendicular to a line with an equation 4x-2y=6

Prove: $\frac{f(x+g(x))-<!--\; -\; -->f(g(x))}{x}\to <!--\; \to \; -->f^{\prime }(0)$ as x approaches 0

How do you graph 2x+3y=12 by graphing 3 points?

Write an equation of a line in point slope form passing through the points (5, -1) (-3, 4)

Is there any way to solve a system of linear equations with both the coefficients and variables coming from {0,1} but where addition is considered over the non-negative integers, not F2?

Find the slope that is perpendicular to the line x−2y=7

Billy needs to read 500 minutes this week for his English class. He is going to read 6 days. If he already reads 15 minutes every day, how many additional minutes does he need each day to read at least 500 minutes?

Find the explicit formula for the following sequence 4,8,16,32,...

Write the first five terms of the geometric sequence ${\displaystyle a_1=5,r=-\frac{1}{10}}$

Find the slope of the line that is parallel to y=−4.75

Find the slope of a line perpendicular to M(2, -1), N(0, 4)

Quadratic Function for braking distance
I have this question about finding a quadratic equation:
Car Velocity v (km/hr) : a series of non zero positive values
Car Brake distance d (meter) : also a series of non zero positive values.
The problem asks why a quadratic equation is suitable to find the relationship between v and d?
The problem also asks if $d=a{v}^2+bv+c$ where a, b and c are constants, find the function.
Here are v values (km/hr) : 20, 30, 40, 50, 60, 70, 80, 90, 100 Here are d values (meters) : 15, 20, 25, 40, 50, 65, 80, 100, 115
My observation so far: I have seen a range of x values including zero value and corresponding y values being converted to quadratic equation using 1st difference and 2nd difference of y values. That solution may not work all the time, especially when I don't have zero value for x.
Secondly, I think the problem lacks key information such as deceleration, response time.