Solving Equations
Slope!
Word Problems
Writing Equations
Summer is upon us...
100
75=3(-6x-5)
x=-5
100
Find the slope.
-\frac{1}{3}
100
Four out of five students in the ninth grade have had braces. If there are 640 students in the ninth grade, how many have had braces? Set up a proportion and solve.
512 students
100
Write an equation in slope-intercept form for the line that passes through (−4,6) with a slope of −5.
y=-5x-14
100
What is America’s number one summer BBQ food?
Hamburgers
200
\frac{x-3}{x}=\frac{9}{10}
x=30
200
Identify the slope of the line x = 1.
Undefined
200
Valentina used 2 gallons of paint to cover 84 square feet of wall. If she has 924 square feet of wall left to paint, how many total gallons of paint should Valentina purchase? Set up a proportion and solve.
22 gallons
200
Write an equation in slope-intercept form for the line that passes through the points (4,−1) and (1,2).
y=-x+3
200
What country were the first modern Summer Olympics held?
Greece
300
-11+10(x+10)=4-5(2x+11)
x=-7
300
Find the slope between (-18, -20) and (-18, -15).
Undefined
300
Jocelyn's earnings (m) vary directly with the number of hours (h) she works. She earns $28.50 for working 6 hours. Write the direct variation equation relating m and h AND find how much she earns for 10 hours.
m = 4.75h
$47.50
300
Write an equation in slope-intercept form for the line that is parallel to y=3x+72 and passes through the point (−4,−5).
y=3x+7
300
What percentage of a watermelon’s overall mass is water?
92%
400
|-2x-1|=11
x=-6,5
400
What would be the slope between the points (-6, 9) and (7, -9)?
-\frac{18}{13}
400
The total cost of ordering custom class t-shirts varies directly with the number of shirts ordered. If 15 shirts cost $131.25, how much would it cost to order 26 shirts?
$227.50
400
Write an equation in point-slope form for the line that passes through (4,−2) and (−1,2). Use the point (4,−2) to write your final equation.
y+2=-\frac{4}{5}(x-4)
400
What do the letters SPF mean when talking about sunscreen?
Sun Protection Factor
500
3|3-5x|-3=18
x=-\frac{4}{5}, 2
500
Identify the slope of the line ⟂ to
5x+2y=6
\frac{2}{5}
500
Marley has two weekend chores that pay based on direct variation. On Saturday, she earns money washing cars, where her earnings vary directly with the hours worked; she earns $36 for 3 hours. On Sunday, she earns money weeding gardens, which also varies directly with time; she earns $50 for 4 hours. If she washes cars for 4 hours on Saturday and weeds gardens for 6 hours on Sunday, what are her total weekend earnings?
$123.00
500
Write an equation in slope-intercept form for the line that is perpendicular to y=−3x−2 and passes through the point (9,2).
y=\frac{1}{3}x-1
500
When is Ms. Wallace's birthday?
June 26