Solve for x
3x+7=22
5
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
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
In an equilateral triangle, all three angles have this measurement.
What is 60 degrees?
Calculate the area of a triangle with base 8cm and height 10cm.
40cm2
Simplify and solve for x: √(x+3)=5
x=22
In which quadrant(s) would you find a point with coordinates (-4,5)?
Quadrants II and IV
Solve for x and y; 2x+3y=12
4x-2y=6
x=21/8 , y=9/4
What type of transformation occurs when a shape is flipped over a line?
Reflection.
In a standard deck of playing cards, how many hearts are there?
13 hearts.
Solve for x: 3x2-7x+2=0
x=2, x=1/3
Which type of line has slopes that are negative reciprocals of each other?
Perpendicular lines.
Find the solution to the system of equations: x2+y2=25
x+y=7
x=3, y=4
Popular in Geometry, as in logic, are statements known as "IF...." this
and THEN"
What is the next number in the arithmetic sequence: 2,5,8,11,14....?
17.
Determine the value of x: 3(x+1) =27
x=2
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.
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
In geometry, a line that divides a figure into two equal, mirror image halves has this name.
What is a line of symmetry?
Simplify the expression: (2x2y3)4
16x8y12
Solve for x: (x2 - 3x + 2) / (x - 2) = 4
x=5 ;x=2
What is the axis of symmetry for the parabola with the equation y=x2 - 6x + 9?
x=3.
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.
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
Simplify: (42 + 33) ÷ 7
43/7