Systems of Equations
Analyzing Graphs
Linear Equations
Miscellaneous
Linear Equations
100
How many solutions will this system have?
2x - 5y = 12
2x - 5y = 16
No Solution
100
If the input of the function is 4, what is the output?
1
100
When looking at an equation to tell if it is linear, if x is in the denominator is it linear?
No, x can only be in the numerator for it to be linear.
100
Which functions are non-linear? Select all that apply.
y = 2x4 y = x/3 y = 3x + 42 y = 5/x
y = 2x4 and y = 5/x
100
The choir is raising money to buy new choir robes. The Arts Department gave them $150 and they will sell boxes of chocolate which profit $2 a box to make the rest. Does this represent a linear or non-linear function?
Linear
200
What does the solution to this system tell us?
They will have the same amount at 4 pairs of jeans and 2 dresses.
200
When is the distance from home decreasing?
50-70 seconds
200
What is the slope of the line that connects the points (5, -1) and (-2, 4)?
-5/7
200
How far up the building does the ladder reach?
sqrt105 = 10.2
200
The choir is raising money to buy new choir robes. The Arts Department gave them $150 and they will sell boxes of chocolate which profit $2 a box to make the rest. Write an equation to represent this function.
T = 2x + 150
300
What is the solution to the system graphed below?
(2, -1)
300
How many times bigger is the rate of change for the equation y = 6x - 10 than the rate of change for the graph below?
6/2 = 3 times bigger
300
Write an equation for the graph.
y = 13x
300
Walmart is selling apples as represented by the equation T = 2p where T is the total cost and p is the number of pounds.
Albertsons has 5 pounds for $11.
Winn-Dixie has 4 pounds for $8.
Which store has the more expensive price per pound than Wal-Mart?
Albertsons $2.20 per pound
300
Jack's uncle pays him $100 a month to work for his lawn company on weekends. He also gives him $12 for each yard they cut. How much will Jack make if they cut 23 yards in one month?
$376
400
Jack and Jill went to the Grill Shop for lunch. Jack ordered 3 hamburgers and 1 hot dog. Jill ordered 1 hamburger and 5 hot dogs. Jack's order was $11 and Jill's was $13. Write a system of equations for this problem.
3x + 1y = 11
1x + 5y = 13
400
What is the equation that represents the line that goes through home and school?
y = (-3/2)x - 2
400
Give two examples of reasons why an equation isn't linear.
variable in the denominator
variable with exponent other than 1
square root of a variable
400
Airborne Extreme sells 10 tickets for $30.
Defy Jump has a ticket cost represented by the equation y = 4x.
Which park has the cheaper rate?
Airborne Extreme is $3 per ticket.
400
The choir is raising money to buy new choir robes. The Arts Department gave them $150 and they will sell boxes of chocolate which profit $2 a box to make the rest. How many boxes must they sell to raise $600?
225
500
Jack and Jill went to the Grill Shop for lunch. Jack ordered 3 hamburgers and 1 hot dog. Jill ordered 1 hamburger and 5 hot dogs. Jack's order was $11 and Jill's was $13. What is the cost of a hamburger? What is the cost of a hot dog?
Hamburger $3, Hot dog $2
500
Write an equation that represents the time, h, of the temperature rising, and the temperature, y.
y = 2x + 8
500
How can you tell if a slope of a line is positive or negative by looking at the graph?
If the line goes up from left to right it is positive.
If the line goes down from left to right it is negative.
500
Airborne Extreme sells 10 tickets for $30.
Defy Jump has a ticket cost represented by the equation y = 4x.
What would be the cost for each park if you bought 15 tickets? Which one is cheaper?
$45 for Airborne Extreme
$60 for Defy Jump
Airborne is cheaper.
500
Jenny's parents gave her $50 to buy a new phone. She is using her allowance of $10 a week to pay for the rest. How many weeks will she have to use her allowance if the phone is $120? Give an equation and the number of weeks.
T = 10w + 50
7 weeks