Slope
Equations
Inequalities
Distance, Rate, Time
Solving Systems
100
What is the slope of a horizontal line
The slope is zero
100
What is the value of a in the equation:
3a + 7 = 17 -2a
What is "a=2"
100
Solve the inequality
5(5m-2)≥165
What is "m ≥ 7"
100
Noga left the movie theater and traveled south. One hour later Colton left traveling 15 mph faster in an effort to catch up to him. After two hours, Colton finally caught up. Find Noga's average speed.
What is "30mph"
100
True or False.
(1,4) is the solution to the system:
y=3x+1
y=2x-2
False
200
Calculate the slope of a line that contains the points (1,2) and (2,4)
m=2
200
Simplify the expression:
2x - 5 - -5x +x + 21
What is "8x+16"
200
Solve the inequality
-2(x+1)>6
What is "x < -4"
200
A cargo plane left New York and flew west at an average speed of 205 mph. An Air Force plane left six hours later and flew in the opposite direction with an average speed of 195 mph. Find the number of hours the Air Force plane needs to fly before the planes are 2430 miles apart.
What is "3 hours"
Let t = time Air Force plane flies
→ Cargo plane flies for t + 6
Distance = rate × time
Cargo plane: 205(t + 6)
Air Force plane: 195t
205(t + 6) + 195t = 2430
205t + 1230 + 195t = 2430
400t + 1230 = 2430
400t = 1200
t = 3
200
What is the intersection point of two parallel lines?
The point does not exist
300
Find the slope of the line: 2x+3y=4
m=-2/3
300
What is the solution to: 5(n+3)=-4n-3
What is "-2"
300
Solve and graph the inequality −2(y+4) ≥ 4
What is "y ≤ -6"
300
Kian and Mia traveled to the ferry office and back. It took two hours less time to get there than it did to get back. The average speed on the trip there was 75 km/h. The average speed on the way back was 45 km/h. How many hours did the trip there take?
What is "3 hours"
distance=speed×time
Trip there:
d=75t
Trip back:
d=45(t+2)
Since the distance is the same both ways, we can set the two expressions equal:
75t=45(t+2)
75t=45t+90
t = 3
300
Solve the system of equations
y=x+7
y=2x+5
(2,9)
400
What is slope intercept form? What is standard form? Give the general equation for both, using the correct letters that represent the variables.
y = mx + b
ax + by =c
400
What is the solution to
-8=-16x+8-4(-4x+4)
What is "infinite solutions"
400
Mr. Santa Rita is working part-time at a Honda dealership selling cars. He receives a base salary of $1500 and receives $250 for every car he sells. If he wants to make at least $3000 at the end of the month to pay for a vacation, create a formula and determine the number of cars he needs to sell.
What is 1500+250x ≥ 3000
x ≥ 6
400
Joss and Mabel took a train to trip to Las Vegas and back. On the trip there the train traveled 30 mph and on the return trip it went 54 mph. How long did the trip there take if the return trip took ten hours?
What is "18 hours"
distance=speed×time
Trip there:
d=30t
Trip back:
d=54×10 = 540
Set the distances equal:
30t=540
t=18
400
What are two ways to solve a system of equations? Feel free to name more!
Graphing, Equal Values Method, Substitution, and/or Elimination