Solve for x

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System of equation

Geometry

Quick math

100

3x+7=22

5

100

What is the slope-intercept form of the equation for a line with a slope of 2 and y-intercept of 3?

y=2x+3

100

A car rental company charges $30 per day plus $0.25 per mile driven. If "d" represents the number of days and "m" represents the number of miles driven, write a system of equations to represent the cost of renting a car,

Cost= 30d + 0.25m

100

In an equilateral triangle, all three angles have this measurement.

What is 60 degrees?

100

Calculate the area of a triangle with base 8cm and height 10cm.

40cm^{2}

200

Simplify and solve for x: √(x+3)=5

x=22

200

In which quadrant(s) would you find a point with coordinates (-4,5)?

Quadrants II and IV

200

Solve for x and y; 2x+3y=12

4x-2y=6

x=21/8 , y=9/4

200

What type of transformation occurs when a shape is flipped over a line?

Reflection.

200

In a standard deck of playing cards, how many hearts are there?

13 hearts.

300

Solve for x: 3x^{2}-7x+2=0

x=2, x=1/3

300

Which type of line has slopes that are negative reciprocals of each other?

Perpendicular lines.

300

Find the solution to the system of equations: x^{2}+y^{2}=25

x+y=7

x=3, y=4

300

Popular in Geometry, as in logic, are statements known as "IF...." this

and THEN"

300

What is the next number in the arithmetic sequence: 2,5,8,11,14....?

17.

400

Determine the value of x: 3^{(x+1) }=27

x=2

400

What is the vertex from of a quadratic function with a vertex at (3,-2)?

y= a(x-3)^{2} -2 , where 'a' is a constant.

400

A fruit vendor sells apples and oranges. Let "a" represent the number of apples and "o" represent the number of oranges. Translate the following into a system of equations:

- The total number of fruits is 20.

- The cost of 2 apples and 3 orangles is $5.

a + o =20 ; 2a + 3o =5

400

In geometry, a line that divides a figure into two equal, mirror image halves has this name.

What is a line of symmetry?

400

Simplify the expression: (2x^{2}y^{3})^{4}

16x^{8}y^{12}

500

Solve for x: (x^{2 }- 3x + 2) / (x - 2) = 4

x=5 ;x=2

500

What is the axis of symmetry for the parabola with the equation y=x^{2 }- 6x + 9?

x=3.

500

Solve the system of equations involving geometry:

The perimeter of a rectangle is 18 units, and its length is 5 units more than its width. The area of the same rectangle is 24 square units.

Length= 7 units, Width= 2 units.

500

In a right triangle, if one leg is 6 units long and the hypotenuse is 10 units long, what is the length of the other leg?

x=8

500

Simplify: (4^{2} + 3^{3}) ÷ 7

43/7

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