Number Operations
Estimate to one decimal place
sqrt(190)
13.8
A store’s records showed that during one month, 3 litres of milk were sold for every 2 boxes of cereal sold. If 286 boxes of cereal were sold that month, how many liters of milk were sold?
429 liters
Which quadrant is the point (-2, -5) in?
Quadrant III
The area of square ABCD is 400 square centimetres. What is the area of a square that has a side length that is one-half of the side length of square ABCD?
100 cm²
As one variable increases, the other variable decreases. What type of correlation is this?
Negative
Mr. Hines paid $8.40 for an international phone call in total. He paid a fee of $1.25 plus $0.55 per minute. Write an equation for the situation, where x is the length of the call in minutes.
0.55x + 1.25 = 8.40
A car travelled at a speed of 30 km/h for 15 minutes during morning traffic. Then it travelled for 30 minutes at twice its original speed. What is the total number of kilometres the car travelled?
37.5 kilometers
What is the slope of the line that passes through points (4,3) and (-2,4)?
-1/6
Complete the Pythagorean triple {__, 35, 37}
12
Above which value does the correlation coefficient signify a strong correlation?
r = 0.8
Fred pays the same amount of property tax each month. His total property tax for the year is $1,545. What is his monthly tax payment in dollars and cents?
$128.75
Ashley's mother bought some bottles of juice for her family. The juice was on sale for 3 bottles for $4.50. How much did she spend on 8 bottles of juice?
$12
What is the slope of the graph 4x - 5y = 20
m = 4/5
What is the name of the angles located inside the parallel lines and on the opposite sides of the transversal?
Alternate interior angles
Jade has come up with the equation y = 2x + 75 to predict the test score (y) based on the number of hours that she studies (x). Use the line of best fit to predict her test score if she studies for 6 hours.
87
Write
3.5 xx 10^-6
in standard form.
0.0000035
Solve the following equation: 5n - 6 = 3n + 2
n = 4
What is the equation of the line that has a slope of -2 and a y-intercept of (0, 5)?
y = -2x + 5
What is the formula for the volume of a cone?
V=1/3pir^2h
Write an equation for a non-linear function.
Various answers.
Jupiter is 787 million kilometres from the Sun. Write this number in scientific notation.
7.87 x 108
Simplify the expression: -2(3x + 4) - 5(2x - 1)
-16x - 3
At which point do the equations 3x + y = 6 and 4x + 2y = 10 intersect?
(1,3)
The floor of a room measures 12 meters by 10 meters. The walls of the room are 3 meters tall. If the walls have to be painted, what is the total area of the walls?
132 m2
What does the correlation coefficient depend on?
Distance of points from the line of best fit