Word Problems I
Slopes and Graphing
Solving Equations
Factoring and distributive property
Quadratics
FAMAT:
March 2020
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
100

Find the vertex of 

y=2(x-3)+2


(3,2)

100

A line segment has encpoints (11, 5) and (x, -1) and midpoint (4, y).  Find x+y

-1

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)
200

Find the axis of symmetry

y=x^2+4x-5

x=-2

200

The ratio of boys to girls at the dance was 5:4.  If all 220 girls danced with only one boy the whole night, how many people were without a dance partner?


55

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
300

Find the vertex

y=x^2-4x+2

(2,-2)

300

Jim bought 5 hamburgers and 6 fries for $16.25.  Jane bought 2 hamburgers and 13 fries for $19.75.  How much would it cost to buy 7 hamburgers and 8 fries?

$22.25

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

what is the x-intercept of the following equation

2x + 4y = 6

(3,0)

400

(x - 5)(x + 3) = 0

x = 5 or x = -3

400

x^2 - 16x - 36

(x - 18)(x + 2)

400

y=3(x-2)^2+2

y=3x^2-12x+14

400

My cow can eat all the grass in an acre of land in 10 days.  My horse eats the grass three times as fast as the cow.  How many days will it take for both to clear the grass on my 5 acre plot of land?

12.5

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. Ifthey 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

Fator

x^2 -x-12

(x - 4)(x + 3)

500

Change the form 

y=x^2+10x -5

y=(x+5)^2 - 30

500

Nine teems compete in a softball tournament.  Trophies are given for 1st, 2nd, and 3rd places.  Find the number of possible outcomes for the trophies.

504

M
e
n
u