Geometry
Find the area of a triangle with base = 5, hypotenuse = 13, and height = 12.
30
Solve for x.
4 + 2x = 3x - 6
10
Find the slope of the line y = 2x + 4
2
At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?
$52
Simplify. (2/3 is two thirds, 4/3 is 4 thirds)
2/3 + 4/3
Find the perimeter of a rectangle with base 10 and height 12.
44
Solve for x.
44=4(2+3x)
3
Find the slope of the line through the two points:
(-3, 4), (-1, 4)
0
Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?
4 inches
Simplify.
(3/5)(4/7)
12/35
Find the hypotenuse of a right triangle with base 4 and height 3.
5
Solve for x. There are 2 solutions.
|x - 4| + 1 = 2.
3 and 5
Simplify.
(4 − 1 + 8 ÷ 8) × 5
20
A statue that is 12 ft tall casts a shadow that is 15 ft long. What is the length of the shadow that a 8 ft cardboard box casts?
10 feet
3 2/3
11/3
Find the diagonal of a square with side length = 4. Express your answer using a radical (square root).
4sqrt(2)
Solve for x. There are 2 solutions.
x2 + 8 = 12
Simplify.
3(4 - 23) + 4(3) - 10
-10
Shawna won 40 super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. She only has 8 remaining. How many friends does she have?
16
Divide. Write your answer as a mixed number.
37/16
2 5/16
Find the Volume of a Right Triangular Prism with triangular base = 6, triangular height = 8, hypotenuse = 10, and prism height = 4.
96
Solve for x. Note the inequality symbol.
-45 > 3(3x-3)
x<-4
Simplify.
(2b2)4
16b8
The sum of three consecutive even numbers is 48. What is the smallest of these numbers?
14
Simplify. Write as a mixed number.
1 1/2 + 3 3/4
5 1/4