Solving Systems of Linear Inequalities
Percentage
Fractions
Solving Systems of Linear Equations
Lines
100
Write an inequality to match the graph.
y <= -5
100
10% of 170
17
100
The product of 10 and a number is less than or equal to 5 more than twice the number.
x<=5/8
100
Solve for x and y.
2x − 3y = −1
y = x − 1
(4, 3)
100
What is the slope-intercept form?
y=mx+b
3^(2+5) = 3^2 * 3^5
200
Write a system of inequalities to match the graph.
y < x
x >= 2
200
What is 22% of 85
18.7
200
Solve for t: A=p+prt
t=\frac{A-p}{pr}
200
Solve for x and y
y = 6x − 11
−2x − 3y = −7
(2, 1)
200
What is the slope formula?
m=\frac{y_2-y_1}{x_2-x_1}
300
Write a system of linear inequalities that match the overlapping shaded region.
y < x + 1
y > 2- x
300
20 is 5% of what number?
400
300
4/5+9/4
13/4
300
Solve for x and y
−3x + 3y = 3
−5x + y = 13
(−3, −2)
300
What is the slope of 1\3x+2y=2/3x-2?
1/12
400
Write a system of linear inequalities that match the overlapping shaded region.
y< 2x + 5
y >= 2x - 5
400
|\frac{x-7}{2}|>4
x>15, x<-1
400
5/2-3/5
19/5
400
Solve for x and y
-5/7 - 11/7x = -y
2y = 7 + 5x
(-3, -4)
400
What determines if two lines are parallel or perpendicular?
Give an example of each situation
Two lines are parallel if they have the same slope.
Two lines are perpendicular if they have opposite reciprocal slope.
500
Write a system of inequalities whose solution is the set of all points in quadrant III, including the axes.
x <= 0
y <= 0
500
|\frac{1}{3}x-1|-6=1
x=24,-18
500
6/7-8/9
-2/63
500
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
x + 6y = 372
4x + 12y = 780
(Van) x = 18
(Bus) y = 59
500
Find the equation of the line perpendicular to y=7x-2 that passes through the point (1,3)
y=-\frac{1}{7}x+\frac{22}{7}