Linear Relationships
The equation y = 4x - 6 represents a relationship. What is the slope of the line?
m = 4
(1/3) + (5/3)
6/3 = 2
What is 10% of 60?
6
You roll a dice once. What is the probability of it landing on a 4?
1/6
Are the ratios 2/4 and 3/6 proportional?
Yes
A taxi charges a flat fee of $3 plus $2 per mile.
Write an equation that represents the total cost y for x miles.
y = 2x + 3
(5/3) - (3/2)
1/6
What is 25% of 48?
12
A bag has 3 blue marbles and 2 red marbles. If you reach into the bag and pull one marble, what is the probability of pulling a red marble out of the bag?
2/5
Timothy weighs 48kg. How many pounds does Timothy weigh? (1 kg = ~2.2 lb)
105.8 pounds
A line has three points listed below. What is the slope of this line?
(1, 5), (2, 8), (3, 11)
m = 3
(3/6) x (1/3)
3/9 = 1/3
A shirt cost $40 and it is on sale for 20% off. How much is the discount?
$8
A dice is rolled twice. What is the probability of rolling two even numbers?
1/9
There are two similar triangles. One has a length of 5cm and a width of 7cm. The other triangle has a length of 15cm and a width of ___cm?
21
A line has a slope of 3 and passes through the point (0, -2). What is the equation of the line?
y = 3x - 2
(5/2) - (- 3/4)
26/8
A number increases from 84 to 91, what was the percent increase of the number?
8.3% increase
The probability that it rains tomorrow is 1/6 and the probability that it rains the day after tomorrow is 2/3. What is the probability that it rains both tomorrow and the day after tomorrow?
2/18 = 1/9
There are three points. (2, 5), (4, 10), and (6, 15) are they proportional or not?
Yes. Scale factor of 2.5
A line passes through the points (2, 5) and (6, 17). What is the equation of the line?
y = 3x - 1
(-4/7) / (3/5)
(-20 / 21)
A customer at a restaurant received great service and tipped 25% on their bill. How much is their final total if their meal costed $36?
$45
A class has 12 boys and 16 girls. What is the probability that two girls are chosen (with replacement) from the class at random.
16/49
Two triangles are similar. The side lengths of the first are 6, 8, and 10. The scale factor is 3/2. Whaat are the side lengths of the second triangle?
9, 12, 15