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Word Problems I
Functions
Linear equations
Linear equations pt2
Systems of equations
100
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
100
Description of a function (you must use the terms domain and range)
What is a relation that has a unique range for value for each domain value
100
The slope is 2.
Calculate the slope between the following points: (2,1) & (4,5)
100
Parallel to -6x + y =-1. Passes through (1,7)
y= 6x+1
100
y = −3x + 5; 5x − 4y = −3
(1,2)
200
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.
200
The vertical line test determines? Why (you must use the terms domain and range)
The vertical line test determines if the relation is a function, because it graphically test to see if any domain value (x) has more than one range value (y). If it does, then the relation is not a function
200
Calculate the slope between the following points. (-2,-1) & (7,8)
The slope is 1.
200
parallel line -y + 3x=16 that runs through (-10,0)
y= 3x + 30
200
y = −2 4x − 3y = 18
(3, −2)
300
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 19 cm.
300
The domain of the function (x)/x-4
x cannot equal 4
300
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
300
Find a perpendicular line to y= .5x -9
Any line with the slope of 2
300
−4x + y = 6 −5x − y = 21
(−3, −6)
400
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.
400
f (x) =−3x^2− 2x+ 1 Find f(-4)
-39
400
y=x
A point goes through (2,2) and is parallel to y=x+4. Write the equation of the line
400
Perpendicular to the line y= 4/3x + 6 and passes through the point (-4,-1)
y= -3/4x-4
400
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
small box of oranges: $7, large box of oranges: $13
500
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
500
If the average of four consecutive even numbers is 49, what are all four numbers?
46, 48, 50, 52
500
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
500
Find and equation that is perpendicular to y=-3 that passes through (-2,6)
x=-2
500
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Vans: 18 Buses: 59