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Find the x-intercept of 5x – 2y = 9.
x = 9/5
(9/5, 0)
Find the slope: (–7, 7) and (–7, –2)
Undefined
Find the next three terms of the arithmetic sequence 2, 5, 8, 11, ... .
14, 17, 20
Write a linear equation in slope-intercept form to model the situation: A pizza delivery service charges a flat fee of $3.50 plus $1.25 for each mile traveled.
c = 1.25x + 3.50
Determine whether each equation is a linear equation. Write yes or no. If so, write the equation in standard form.
3/x + 2/y = 2/3
NO
Determine whether each equation is a linear equation. Write yes or no. If so, write the equation in standard form.
6x = – 5y
yes; 6x + 5y = 0
List all the words related to x-intercept.
Root, solution, zero
Find the zero of 7x – 42 = 0.
6
Determine whether x+2y = 5x + 6 + y is a linear equation.
If so, put it in standard form.
Yes; 4x - y = -6
Tickets for a concert cost $5 for children and $12 for adults. The equation 5x + 12y = 100 represents the number of children (x) and adults (y) who can attend the concert for $100. If no adults attend, how many children can attend the concert for $100?
20 children
Determine whether the sequence 5, 10, 20, 40, ... is an arithmetic sequence. Write yes or no. If so, state the common difference.
No because the common difference is not constant.
Find the value of r so the line passes through each pair of points has the given slope.
(5,3) (r, -5), m=4
Show some work.
r=3
In 2010, the percentage of students at Westridge College who completed internships was 62.3%. In 2018, that number increased to 68.5%. Determine the rate of change for the percentage of students completing internships from 2010 to 2018.
0.14% per year
If (a, 10) is a solution to the equation –a = 4b – 7, what is a?
a is -33
Write an equation for the nth term of the sequence 15, 11, 7, 3, ... .
an = 15 + (n-1)-4
an = 14 - 4n + 4
an = 18 - 4n
A train travels at a constant speed of 60 miles per hour.
a. Write an equation in function notation for the relationship between time (in hours) and the distance traveled (in miles). Use t and value d(t).
b. How many miles will he drive in 4 hours?
a. d(t) = 60t
b. 240 miles
Find the value of r so the line passes through each pair of points has the given slope.
(r, 2) (5, r), m = 1/5
Show some work.
r = 2.5
Write an equation in function notation from the table below.
x y
0 5000
1 4620
2 4240
3 3860
4 3480
f(x) = -380x + 5000
Graph y = (1/3)X
You must have at least two points plotted accurately.
Graph the equation 4x + 4y – 8 = 0
Denote your two ordered pairs.
Check graph
Graph at least two points.