Geometry
Collecting like terms
Slopes and lines
Angle Properties
Algebraic equations
200

What is the volume of a cube with a side length of 7cm?

V = 343cm^3

200

Collect the like terms of the following equation

4x + 12 - 6 + 2x

6x + 6

200

What is the y intercept of the following equation?

3/4x + 3

The y-intercept of the equation is positive 3. 

200
What is the other supplementary angle of an angle of 171 degrees?

The other angle is equal to 9 degrees. 

200

Solve the following equation to find the value of x

2x + 8 = 22 - 4

X = 5

400

Find the area of the pentagon where the base is 8cm, the height of the rectangle is 5cm and the height of the triangle is 3cm. 

A = 52cm^2

400

Collect the like terms of the following equation

4x^2 - 6x - 3 + 46 + 7x^2

11x^2 - 6x + 43

400

What is the slope of the following equation? And is it negative if positive?

-5/3x + 4

The slope of this equation is -5/3 and it is negative. 

400

What is the other complementary angle of a 42  degree angle?

The other angle is equal to 48 degrees. 

400

Solve the following equation to find the value of x

28 - x + 3x = 42

X = 7

600

If angle y; worth 7 degrees, is supplementary to angles x and z and angles x and z are congruent, what is the value of angle z? 

Angle Z = 86.5 degrees

600

Collect the like terms of the following equation

14 - 6x^2 + 30 - 70x^2 + 71x^2

5x^2 - 44

600

State wether each of the following lines are vertical, horizontal or neither. 

a) x = 21

b) y = 2x - 74

c) y = 45

a) horizontal

b) neither

c) vertical

600

If the measurement of an inscribed angle subtended from the same chord of a central angle is 94 degrees, what is the measurement of the central angle?

The central angle is equal to 188 degrees. 

600

Solve the following equation to find the value of x

5 (x + 4) = 6x - 5

X = 25

800

Determine the surface area of a cylinder with a height of 27cm and a radius of 4.2cm

SA ~ 823.36cm^2

800

Collect the like terms of the following equation

(27x^2 - 5x) (2x^2 + 3x)

54x^2 -15x

800

What is the point of intersection between these two lines?

100x - 3  and  -37x + 4

The point of intersection between the two lines is equal to around 0.0073. 

800

If angles e and f are equal to 72 and 39 degrees, what is the measurement of angle g in a triangle?

Angle G = 69 degrees 

800

Solve the following equation to determine the value of x

2 (4x - 9) + 7x^2 = 2 (8 + x) + 70

X ~ 1.08

1000

Lilly and Ava are both at Ava’s house. Lilly walks 7.8 meters south and Ava walks 9.4 meters east. How far apart are Lilly and Ava from eachother?

Lilly and Ava are around 12.21 meters apart. 

1000

Collect the like terms of the following equation:    

(y^2 - 5x^3) (y^5 + 20x^3) + 2y

y^7 - 100x + 2y

1000

What is the slope of a line that passes through the points (3,7) and (4,21)?

The slope of the line that passes through those point is equal to 14. 

1000

If one co-interior angle is equal to 97 degrees, what is the other angle equal to?

The other angle is equal to 83 degrees. 

1000

Solve the following equation to find the value of x

x-2 /4 + 7 - 43 = 3x+9 /3 + 2

X ~ 53.67

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