SOLVING EQUATIONS
Solve for x
60 = 7x + 4
x = 8
What is the slope of the line y = -3x + 5?
m = -3
Find the missing leg of the right triangle.
leg = 10
hypotenuse = 26
24
Find the volume of the cylinder. Round to the nearest hundredth.
radius = 9 ft
height = 6 ft
1,526.04 cubic ft
What is the cube root of 64?
4
Solve for x
3(x - 1) = -3
x = 0
Are the lines parallel? Explain your reasoning/
y = -4x + 3
y = -4x - 3
Yes, the lines are parallel because the slopes are the same.
Find the hypotenuse of a right triangle that has leg lengths 21 km and 20 km
29 km
Find the volume of a sphere with radius = 4 in. Round to the nearest tenth
267.9 cubic inches
The volume of a cube is 216 cubic inches. Find the length of each side.
6 in
Solve for z
z + 1 = z + 6
no solution
Determine if the given lines are parallel. Explain your reasoning.
x = -4
x = 1
Yes, both these lines are vertical so they are parallel. They have the same slope--undefined
Find the missing leg of the right triangle with leg = 7.2 ft and hypotenuse 12 ft
9.6 ft
Find the volume of the cone. Round to the nearest tenth.
h = 8 in
r = 3 in
75.4 cubic in
Solve for x.
x2 = 100
x = 10 and x = -10
Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. Explain your response.
6x + 6 = 6(x + 1)
infinitely many solutions
What is the slope of the linear equation
3x + 6y = 12
m = -1/2
Find the distance between (-6, 8) and (10, -4)
20
Find the volume of the cone. Round to the nearest hundredth.
height = 6 in
diameter = 4 in
25.12 cubic inches
Evaluate
5sqrt36+7
37
Solve for x
1 + 1 + 1 + 1 + 6 + 7 - 8x = 57
x = -5
Find the slope of the line through the points (10, 6) and (-4, 8)? Write your answer in simplest form.
m = -1/7
Tell whether the triangle with the given side lengths is a right triangle. Explain your reasoning.
30, 30.5, 5.5
yes!
What is the height of this cylinder?
V = 1570 cubic in
r = 10 in
h = 5 in
Approximate to the nearest integer
sqrt125
11