Word Problems
Carl makes $22 per hour working at Chase bank. How much money will Carl make from working a 6 hour shift?
$132
Which method would be the most efficient to use when solving the following system of equations. Graphing, elimination, or substitution?
y = 3x +8
y = 6x + 2
Graphing
Graph the inequality
y> 2x +3
check graph
Are the two lines parallel or perpendicular?
y = 3x + 4
y =3x + 7
Parallel, same slope
Convert the following equations from standard form to slope intercept form 3x+2y=12
y=-3/2x+6
Jessica has a coupon for %40 off any item from Macys. Jessica wants to buy a coat that costs $135. How much will her coat be after she uses her coupon?
$81
Solve the system of equations
y = 3x +8
y = 6x + 2
(2, 14)
Graph the system of inequalities
x> 1
y > 2x + 5
check graph
Answers will vary, make sure they have opposite reciprocal slopes
What is the slope of the line y-3=2(x-4)
slope = 2
Maria needs an average score of 70% on her quizzes to pass her algebra class. There are a total of 5 quizzes in her class. So far she has taken 4 quizzes with the following score: 72, 62, 81, and 56. What score does she need on her 5th quiz to get an average of 70% on her quizzes?
She needs a 79%
Solve the system of equations:
-3x+5y=15
3x+2y=13
(5/3, 4)
Name one point that is a solution to the system
y> -5x +3
y> x - 3
Points will vary, one answer could be (2, 1)
What angle do perpendicular lines make?
90 degree angle
What is the y-intercepts of the line y =3x
Yujeen wants to go visit her family in Dallas, Texas. Dallas is 967 miles from Chicago. If Yujeen leaves at 12:00 pm on Monday and drives at 75m/h, at what time will Yujeen get to Dallas?
12:53 am on Tuesday, or somewhere close to that time depending on how you round
Find the point where the two lines intersect:
6y=8x+4
3y=4x+2
No solution
Name one point that is a solution to the system:
x>-6
x<-2
y>-1
y<3
Answers will vary, make sure students shade the correct region when solving
Write that equation of a line that is perpendicular to the line
y = x - 3
y = -x -3
Find the equation of the line with a slope of 2 and a y-intercept of 4
y=2x+4
Ramiro needs to be at school by 7:45 am everyday. Before school, Ramiro needs to shower and eat breakfast. Ramiro takes a 20 min shower and takes another 20 min to eat breakfast. After that Ramiro has to take a 35 min bus ride to get to school. At what time must Ramiro wake up to ge to school on time?
6:35am
Find the point where the two lines intersect
y = 5
y = 6
No solution
Create a system of inequalities that forms a triangle and has a vertice at (0,0). The inequality must be written in a form that the inside of the triangle is shaded
Answers will vary. Students must have 3 different inequalities and a shaded triangle on their board
6y = 10x + 9
2y = 10/3x + 3
Neither, they are the same line
Find the slope of the line that passes through the points (0,0) and (3,1)
slope = 1/3