PSAD
Algebra
Geometry
Advanced Math
Formulas
100

There are 320 marbles in a container. Of these marbles, 10% are red. How many marbles in the container are red?

A. 32

B. 288

C. 320

D. 352

What is 32?

100

Given that g(x) = -x+8 state the value of g(5).

What is 3?

100

The side length of a square is 55 cm, so the area of the square must be this.

What is 3025 cm2?

100

Which expression is equivalent to x² + 3x - 40?

A. (x-4)(x+10)

B. (x-5)(x+8)

C. (x-8)(x+5)

D. (x-10)(x+4)

What is B?

100

what is linear equation formula?

y = mx + b


200

The average of 230, 155, 320, 400 and 325 is this number.

What is 286?

200

A cleaning service that cleans both offices and homes can clean at most 14 places per day. Which inequality represents this situation, where f is the number of offices and h is the number of homes?

A. f + h ≤ 14

B. f + h ≥ 14

C. f - h ≤ 14

D. f - h ≥ 14

What is A?

200

In triangle ABC, angle A measures 50 degrees and angle B measures 70 degrees. What is the measure of angle C?

60 degrees

200

f(x) = (x+0.25x)(50-x)

The function f is defined above. What is the value of f(20)?

What is 750?

200

what is y-intercept?

the point where a line or curve crosses the y-axis on a graph

300

Two numbers that should be placed in the banks below so that the difference between successive entries is the same are: 

26, ___, ___, 53 

A) 28,46 

B) 38,48 

C) 29,40 

D) 35,44

What is D) 35,44?

300

y ≤ 3x + 1

x - y > 1

Which of the following ordered pairs (x, y) satisfies the system of inequalities above?

A. (-2,-1)

B. (-1,3)

C. (1,5)

D. (2,-1)

What is (2,-1)?

300

A right circular cylinder has a base diameter of 22 centimeters and a height of 6 centimeters. What is the volume, in cubic centimeters, of the cylinder?

A. 132pi

B. 264pi

C. 726pi

D. 2,904pi

What is 726pi?

300

Which expression is equivalent to (a3)5?

(a) a8

(b) a2

(c) a15

(d) a243

What is a15?

300

In triangle ABC, angle C is a right angle. What is the value of sin(A)?

sin(A) = BC/AB

400

The value of a collectible comic book increased by 167% from the end of 2011 to the end of 2012 and then decreased by 16% from the end of 2012 to the end of 2013. What was the net percentage increase in the value of the collectible comic book from the end of  2011 to the end of 2013?

A. 124.28%

B. 140.28%

C. 151.00%

D. 209.72%

What is 124.28%?

400

5y = 10x + 11

-5y = 5x - 21

The solution to the given system of equations is (x,y). What is the value of 30x?

What is 20?

400

A rectangular prism has a length of 8 units, a width of 5 units, and a height of 3 units. What is the total surface area of the prism?

158 square units

400

x² + y + 7 = 0

20x + 100 - y = 0

The solution to the given system of equations is (x,y). What is the value of -3x?

What is 30?

400

What is slope formula?

m = (y₂ - y₁) / (x₂ - x₁)

500

Anita created a batch of green paint by mixing 2 ounces of blue paint with 3 ounces of yellow paint. She must mix a second batch using the same ratio of blue and yellow paint as the first batch. If she uses 5 ounces of blue paint for the second batch, how much yellow paint should Anita use?

A. Exactly 5 ounces

B. 3 ounces more than the amount of yellow paint used in the first batch

C. 1.5 times the amount of yellow paint used in the first batch

D. 1.5 times the amount of blue paint used in the second batch

What is D?

500

N(-18,-48)

K(7,52)

In the xy-plane, the line that passes through these two points also passes through the point (1/7, a). What is value of a?

A. - 4/11

B. - 4/77

C. 4/7

D. 172/7

What is 172/7?

500

A triangle with angle measures 30°, 60°, and 90° has a perimeter of 18+6√3. What is the length of the longest side of the triangle?

What is 12?

500

A right rectangular prism has a height of 9 inches. The length of the prism's base is x inches, which is 7 inches more than the width of the prism's base. Which function V gives the volume of the prism, in cubic inches, in terms of the length of the prism's base?

A. V(x) = x(x+9)(x+7)

B. V(x) = x(x+9)(x-7)

C. V(x) = 9x(x+7)

D. V(x) = 9x(x-7)

What is D. V(x) = 9x(x-7)?

500

What is the equation for a circle?

(x - h)² + (y - k)² = r²

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