Word Problems I
Slopes and Graphing
Solving Equations
Factoring and Foiling
100
Three consecutive numbers have a sum of 75. What is the smallest number?
The smallest number is 24.
100
Calculate the slope between the following points: (2,1) & (4,5)
The slope is 2.
100
2x + 6 =0
x = -3
100
(x + 2)(x + 4)
x^2 + 6x + 8
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
Calculate the slope between the following points. (-2,-1) & (7,8)
The slope is 1.
200
2x - 18 = -3x + 27
x = 9
200
x^2 + 12x + 35
(x + 7)(x + 5)
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
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
300
7x + 42 = -3x - 28
x = -7
300
(-2x + 5)(5x - 1)
-10x^2 + 27x - 5
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
Graph the following line. y = -2x + 5
SEE TEACHER
400
(x - 5)(x + 3) = 0
x = 5 or x = -3
400
x^2 - 16x - 36
(x - 18)(x + 2)
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
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
x^2 - 9x + 18 = 0
x = 6 or x =3
500
x^2 - x - 12
(x - 4)(x + 3)