Geometry (Area and Perimeter)
Word Problems II
Slopes and Graphing
Solving Equations
Factoring and Foiling
100

The longer side of a rectangle is 7 more than 3 times the shorter side. If the perimeter of the rectangle is 78 units, what are the length of the sides?

8 and 31

100
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.
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

A right triangle has a height of 5 and a base of 4x+2. If the area of the triangle is 95 square units, what is the value of x?

x = 9

200
The 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.
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

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.

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

A square with side lengths 2x-3 has the same perimeter of an equilateral triangle with sides of 2x+6. Find the value of x. 

x = 15

400

Spencer, Neal, and Claire go lastertagging. Neal gets five more than two times the number of tags as Spencer. Claire gets twice as many tags as Neal. If the three of us had 92 kills altogether, how many tags did Claire get?

Claire got 54 tags.

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

A rectangle has side lengths of x and x+5 and has an area of 36 square units. What are the possible values of x? (HINT: You need to factor!)

x = 4 ONLY

mathematically x = -9, but a side length of a rectangle cannot be negative.

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)
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