Solving and Simplifying Linear Equations & Inequalities
Linear Functions
Systems of Equations
Miscellaneous Math
For Funsies (1 of these for every 3 other questions)
100
Solve for x:
3x-5=16
x=7
100
What is the slope of a line that passes through
(2, 5) and (6, 13)?
2
100
Is the point (1, 4) a solution to the system below?
y = 2x + 2
y = −x + 6
Show your work!
No!
100
The data set below shows test scores for 7 students:
72, 85, 90, 85, 78, 92, 85
Find the mean and median.
Mean ≈ 83.86
Median = 85
100
This animal has three hearts, nine brains, and blue blood, and is considered one of the most intelligent invertebrates on Earth.
Octopus
200
Rearrange each inequality into the form y [ ] mx+b
6x - y < 3 ?
y < 6x - 3
200
What is the slope of a line that passes through
(-2, -5) and (-6, -9)?
1
200
Solve the system of equations algebraically:
y = 3x − 1
2x + y = 9
Solution: (2, 5)
200
A student says a correlation coefficient of r = −0.91 means the data has a weak relationship because the number is negative. Explain why the student is incorrect, and what r = −0.91 actually indicates.
r = −0.91 indicates a strong negative correlation between x and y. r is strong if it's closer 1 or -1 and weak if it's closer to 0.
200
Which planet is known to have the Great Red Spot?
Jupiter
300
Solve algebraically for x:
0.04(x + 5) = 0.20x − 3.4
x=22.5
300
The point (−2, k) lies on the graph of
y = −3x + 1. What is the value of k?
k = 7
300
At a bake sale, cookies cost $1.25 and brownies cost $2.00. Sophie bought 12 treats and spent $19.50. Write a system of equations that could be used to determine how many of each she bought.
c + b = 12
1.25c + 2.00b = 19.50
300
If
f(x) = (20x² + 4) / (x + 3)
determine the value of
f(1/4)
f(1/4) = 21/13 or 1.62
300
This is the hardest substance in the human body, making up the outer layer of your teeth.
Enamel
400
A taxi service charges a flat fee of $3.50 plus $2.25 for each mile m driven. Write a function c(m) for the total cost of a ride.
c(m) = 2.25m + 3.50
400
A school store sold notebooks and pens. Notebooks cost $4 each and pens cost $2 each. Students bought 30 items in total and spent $84.
Write a system of equations and use elimination to find how many notebooks and how many pens were sold.
n + p = 30
4n + 2p = 84
n = 12, p = 18
400
The linear regression equation for a data set relating study hours (x) to quiz scores (y) is y = 4.3x + 51.2, with r = 0.87.
State what the slope means in context.
Predict the score for a student who studied 6 hours.
Slope: For each additional hour studied, the predicted quiz score increases by about 4.3 points.
Prediction at x = 6: 77 points
400
What is the largest ocean on Earth?
Pacific Ocean
500
The table below shows a car's value over time.
What is the average rate of change from year 1 to year 7?
-1800
500
Maya joined a movie club. In March she saw 3 matinees and 2 regular-priced shows and spent $36.00. In April she saw 1 matinee and 4 regular-priced shows and spent $38.00.
Write a system of equations to represent the cost m of a matinee and r of a regular show.
3m + 2r = 36
m + 4r = 38
m = 6.80, r = 7.80
500
a) y = 61.09x + 178.57
b) r = 0.99
c) r = 0.99 indicates a very strong positive linear relationship between the number of gym members and monthly revenue.
500
What is the only English word that ends with -mt?
Dreamt