Word Problems I
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
Neal ate four more than three times the number of cookies as Claire. If they ate 44 cookies together, how many cookies did Neal eat?
Neal ate 34 cookies.
Calculate the slope between the following points: (2,1) & (4,5)
The slope is 2.
2x + 6 =0
x = -3
(x + 2)(x + 4)
x2 + 6x + 8
If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?
The longest side is 18 cm.
he length of the Princeton basketball court is five more than twice the width. If the perimeter of the court is 112 meters, how long is the court?
The length is 39 meters.
Calculate the slope between the following points. (-2,-1) & (7,8)
The slope is 1.
2x - 18 = -3x + 27
x = 9
x2 + 12x + 35
(x + 7)(x + 5)
If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?
Austin needs to score a 98.
If three consecutive even numbers have a sum of 84, what is the largest number?
The largest number is 30.
If the y-intercept of a line is -4 and the slope is 6, what is the equation of the line in slope intercept form.
y = 6x - 4
7x + 42 = -3x - 28
x = -7
(-2x + 5)(5x - 1)
-10x2 + 27x - 5
Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?
He will pay $410.
Spencer, Neal, and Claire go lastertagging. Neal gets five more than two times the number of kills as Spencer. Claire gets twice as many kills as Neal. If the three of us had 92 kills altogether, how many kills did Claire get?
Claire got 54 kills.
Graph the following line. y = -2x + 5
show your work
(x - 5)(x + 3) = 0
x = 5 or x = -3
x2 - 16x - 36
(x - 18)(x + 2)
Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?
42 points
If the average of four consecutive even numbers is 49, what are all four numbers?
46, 48, 50, 52
Given a line passes through the y intercept of -1, and goes through the points (1,2) and (3,8), what is the equation of the line?
y = 3x - 1
x2 - 9x + 18 = 0
x = 6 or x =3
x2 - x - 12
(x - 4)(x + 3)