FOIL
Geometry
Algebra
MATHCOUNTS
Extra
100

what does foil stand for

first inside outside last

100

In Triangle PLM, angle P measures (3x + 14) degrees.  Angle L measures (2x + 19) degrees.  Angle M measures 22  degrees.  Find the measures of Angle P and L.

P = 89 degrees

L = 69 degrees

100

Solve the linear system: 5x+y=4, 6x-y=7

What is x=1, y=-1 or (1,-1)

100

Marielle buys an equal number of 50¢ and 75¢ candy bars and spends $10, not including tax. How many candy bars did she buy altogether?

16 candy bars

100

What is the greatest common factor (GCF) of 450 and 735 ? A. 3 B. 5 C. 15 D. 35

c. 15

200

(3x + 1) (2x +  1)

6x^2 + 5x + 1

200

Two angles of a triangle measure 65 degrees and 43 degrees. What is the measurement of the third angle?

72 degrees

200

Solve for x: 16x-4=4(2x-3)

What is x=-1.

200

Tim’s math homework is on five consecutive pages in the math textbook, and the sum of those page numbers is 630. What is the page number of the next page after these five homework pages?

Page 129

200

A box contains 6 red pens and 4 blue pens. Cory randomly picks a pen from the box and keeps it. Then Todd randomly picks a pen from the box. What is theprobability both boys will pick red pens?

1/3

300

(2x + 6) (x + 7)

2x^2 + 20x + 42

300

Two remote interior angles of a triangle measure 34 degrees each.  THIS is the measurement of the exterior angle.

What is 68 degrees?

300

Solve proportion: b/8=9/4

What is b=18

300

A book store employee is given a 20% discount off the retail price of any book. Assuming there is no tax, how many dollars does she pay for a book with a retail price of $55?

$44

300

The flower box in front of the main city library weighs 124 ounces. What does the flower box weigh in pounds? 1 pound = 16 ounces

7 3/4 pounds

400

(y + 8) (y + 2)

y^2 + 10y + 16

400

Two angles of a triangle measure x + 32 degrees.  The third angle measures x + 8 degrees.  THIS is the value of x.

What is 36 degrees?

400

An elevator moves at a rate of -5.8 feet per second from a height of 500 feet above ground. It takes 6 seconds for the elevator to make its first stop. How many feet about the ground is the elevator now?

What is 465.2 feet.

400

A restaurant automatically adds an 18% tip to the bill. If the tip was $9, what was the bill before the tip was added, in dollars?

$50

400

What is the 7th term of the following sequence? -4,-6,-8,.....-2n-2,...........

-16

500

(6x - 2) (x - 5)

6x^2 - 32x + 10

500

The sum of the interior angles of an octagon

What is 1080 degrees?

500

Equation of the line that passes through the point (-2,9) and has slope -2.

What is y=2x+5

500

What is the sum of all positive integers from 1 to 30, inclusive, that are neither multiples of 2 nor perfect squares?

190

500

If x=2, y=3, z=4. Is  (x/z)^2+ (y/z)^2  equal to   [(x+y)/z]^2   ?

NO

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