Equations
Solve for x:
2/3x+4=10
x=9
What expression is equivalent to (4x-2) + (2x -6)?
6x - 8
A countertop has a length of 63 inches and a width of 24 inches. What is the perimeter of the countertop?
174 inches
V=s3, where s is the side length
64 in3
A circle is drawn in a square. The area outside the circle but inside the square is shaded. The square has a side length of 6 inches. What is the area of the shaded region?
36-9pi
The volume formula for a rectangular prism is V=lwh. What does l equal in terms of V, w, and h?
l=V/(wh)
Simplify the expression:
(4x2-3x+5) - (x2+6x-7)
3x2-9x+12
The area of my rectangular backyard is 2000 square feet. If the length of the yard is 100, what would be the the total amount of fencing needed to surround my yard?
240 feet
What is the volume of a cylinder that has a radius of 12 and height of 10? Leave in terms of pi.
V=(pi)r2h
1440pi
A triangle is drawn inside a rectangle. The rectangle has a length of 12 and height of 10. The triangle shares the same base and height of the rectangle. What is the SUM of the area of the two shapes?
180
Given 4x-12=2x+8 is true, 3x=?
3x=30
What is the expression (4x-3)(2x-1) equivalent to?
8x2-10x+3
The diameter of a circle is 24 cm. What is the area of the circle? Leave in terms of pi.
144pi
The volume of a sphere is given by the formula V=4/3(pi)r3. If a tennis ball has a radius of 2cm, what is the volume of the tennis ball? Leave in terms of pi
10.67pi
An envelope is the shape of an 8 by 4 rectangle with a triangle on top. The triangle has a base of 4 and height of 2. What is the total area of the envelope shape?
36
What value of x satisfies the equation:
-2(x-3)=3(x-5)-4
x=5
What is the product of the binomials
(3x + 2y) and (4x - y)?
12x2+5xy-2y2
A diagonal line is drawn across a square to cut it into 2 right triangles. The perimeter of a square is 24. What is the area of one of the triangles?
18
The volume of a sphere is given by the formula V=4/3(pi)r3. If a basketball has a diameter of 10 inches, what is the volume of the basketball? Leave in terms of pi
167pi
A figure is made up of a rectangle and right triangle. The base of the triangle lies on the short side of the rectangle, which has a length of 8 cm and a height of 4 cm. The height of the triangle is 3 cm. What is the area of the figure?
38 cm2
Solve the formula for A:
B=5/6(A-12)
A=6/5B+12
How would you simplify the following?
2(3x2+4x+2) - 3(4x2+6x-4)
-6x2-10x+16
Mrs. Acciari's backyard has a perimeter of 54 feet. The width of her yard is 20 feet. She bought 200 square feet of new grass to cover her yard. How much grass will she have left over?
60 square feet
Find the surface area of a rectangular prism that has a length, width, and height of 10, 4, and 2 respectively
SA=2lw + 2wh + 2lh
136
The foul line area of the basketball court consists of a rectangle with dimensions of 12 feet by 18 feet, and a semi-circle with a radius of 6 feet. What is the composite area? Use 3.14 for pi.
272.52 square feet