Linear Equations
Tell one possible first step to solve the equation.
x + 5 = 3x - 1
Subtract 5 from both sides.
Add one to both sides.
Subtract 3x from both sides
Subtract x from both sides.
The sum of all angles in the interior of a triangle is how many degrees?
180
What does the letter c stand for in the formula a2 + b2 = c2?
Hypotenuse
Determine the value of x.
3x - 2 = x + 10
x = 6
A right triangle has 40 degree angle. Determine the measure of the missing angle.
50 degrees
Find the missing side length that has a leg which is 60ft and another leg which is 11 ft.
61 feet
True or False.
The distributive property of multiplication is modeled below.
a(b + c) = ab + ac
True
If all angles on a triangle are congruent, how many degrees are the angle measures?
60 degrees
True or False.
In order to find the length of a side of a right triangle you must know the lengths of the other two sides.
True.
When solving an equation with a fraction, how do you get rid of said fraction?
Multiply both sides of the equation by the denominator.
Angle a = 2a
Angle b = 5a
Angle c = 54
Determine the measure of angle a.
36 degrees
Let a = 8, b = 10, and c = 12. The side lengths create a right triangle.
False
Simplify and tell whether the equation has one, zero or infinite solutions.
2(3x - 6) = -12 + 6x
0 = 0; Infinite solutions
Angle a = 2a
Angle b = 5a
Angle c = 54
Determine the measure of angle b.
90 degrees
Leslie has a square piece of metal that measures 18 inches on each side. She cuts the metal along a diagonal line, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?
25.5 inches