Linear Equations
Write the line's equation in slope-intercept form with the coordinates of (-4, -5) and a slope of 3/4.
y = 3/4x - 2
Solve each system of equations algebraically:
y=x+5
y=6
(-12, -3)
The two variables, x and y, are supplementary angles. If y is 37 degrees then what is x?
143 degrees
Three out of every 10 students from ages 6-14 have a magazine subscription. Suppose there are 30 students in Annabelle's class. About how many will have a magazine subscriptions.
9 students
Find the value of the ones digit
2662
6
Write this equation in point-slope form when x = 0:
4y= 13x + 5
y - 5/4 = 13/4(x - 0)
The sum of two numbers is 340. Their difference is 260. What are the two numbers?
300 and 40
What is the surface area of a cube with the side of 6 cm?
216 cm2
Find the interquartile range of the data set:
29,24,23,24,26,25,26,28,31,27
4
The side of a square is 10 cm. What is the increase in area in percentage if the side is lengthened by 3 cm?
The increase is 69%
A subway train traveled 150 miles in 1 and 1/4 hours. At this rate, how far will the train travel after 5 hours? Assume that the distance traveled varies directly with the time traveled.
Write an equation to represent this situation.
d=120t; 600 miles
David asked his grandfather about his age. His grandfather replied, "You may add my age to 42 and divide the sum by 3. You then subtract 36 from the quotient. Then, multiply the difference by 25 and the result will be 100."
78 years
A cube has a total surface area of the six faces equal to 150 square feet. What is the volume of the cube?
125 cubic feet
Find the mean absolute deviation of 90, 75, 85, 100, 80
7
The average of A, B and C is 70. The value of A is 2 more than B. The value of B is 11 more than C. Find the values of A, B, and C.
A = 75
B = 73
C = 62
After 2 seconds in a penalty kick in soccer, the ball travels 160 feet. After 2.75 seconds on the same kick, the ball travels 220 feet. Write an equation in point-slope form to represent the distance y of the ball after x seconds.
y - 160 = 80 (x - 2)
OR
y - 220 = 80 (x - 2.75)
Phonatopia sold 20 more than half of its cell phone inventory in January. It sold 15 more than half the remaining number of cell phones in February. It had 75 cell phones left in March before any purchases was made. How many cell phones did Phonatopia carry at first?
400 cell phones
A quadrilateral with vertices (-2, 6), (6, 8), (9, 2) and (4, -1) is reflected on the x axis. What are the coordinates of the vertices of the quadrilateral after reflection?
CHANGED COORDINATES:
(-2, -6), (6, -8), (9, -2), (4, 1)
A standard set of dominoes contains 28 tiles, with each tile having two sides of dots from 0 to 6. Of these tiles, 7 have the same number of dots on each side. If four players each randomly choose a tile, without replacement, what is the probability that each choose a tile with the same number of dots on each side?
1/585
On March 1st some years ago, one US dollar could be exchanged for 1.45 Singapore dollars. On the same day, 1000 Thai Baht could buy 50 Singapore dollars. How many US dollars could 29000 Thai Baht buy on that day?
1000 US dollars
Explain how you can use different representations to determine whether a function is linear.
UP TO THE JUDGE!
An army of ants was migrating. The ants moved 120 grams less than half of their food on the first trip. One their second trip, they managed to move 100 grams more than half of the remaining amount of food. They moved 480 g of food on their third trip. 280 grams of food was still unmoved. How much food did the army of ants have at first?
3,200 grams of food
ABCD is a parallelogram such that AB is parallel to DC and DA parallel to CB. The length of side AB is 20 cm. E is a point between A and B such that the length of AE is 3 cm. F is a point between points D and C. Find the length of DF such that the segment EF divide the parallelogram in two regions with equal areas.
length of DF = 17 cm
In how many ways can the letters in “Mississippi” be arranged?
34650 ways
SpongeBob was playing with his bubble wand. His bubble wand could eject 100 bubbles at once. Half of the bubbles would burst within one minute. 1/4 of the original number of bubbles would survive for two minutes. Only 2% of the original number of bubbles would make it to the end of 3 minutes. All the bubbles would burst at the 4th minute. If SpongeBob blew his bubble wand every minute, how many bubbles were there altogether at the 10th minute?
There was 177 bubbles at the 10th minute.