Show:
Terms
Multi-Step Equations
Solving Equations with Operations
Formulas and Functions
Problem Solving & Solving Equations on Both Sides
100
An equation that is true for all values of the variable.
What is an identity?
100
1/6j + 5 = -15
What is j = -120?
100
k - 7 = 20
What is k = 27?
100
Solve for length: A/w = L
What is L = A/w?
100
5l - 24 = -7l + 48
What is l = 6?
200
An algebraic equation that relates two or more real-life quantities.
What is a formula?
200
(1/3)a + 6 = -8
What is a = -42
200
e - 10 = -13
What is e = -3?
200
Solve the temperature formula: C = 5/9(F-32) for F
What is F = 9/5C + 32?
200
48 - 18o = -52 + 32o
What is o = 2?
300
Equations with the same solutions as the original equation.
What is an equivalent equation?
300
7c - 3c - 8 = 24
What is c = 8?
300
-5v = 40
What is v = -8?
300
Solve for h: V = pi(r)^2(h)
What is h= V/pi(r)^2?
300
1/4(60 + 16) = 15 + 4l
What is l = 1?
400
The rules of algebra used to transform equations into equivalent equations.
What is the properties of equality?
400
5o + 3(o + 4) = 28
What is o = 2?
400
i/-7 = 49
What is i = -343?
400
Rewrite the equation so that y is a function of x. 5(y-3x) = 8-2x
What is y = 8 + 13x __________ ? 5
400
The temperature within Earth's crust increases about 30 degrees Celsius for each kilometer of depth beneath the surface. If the temperature at Earth's surface is 24 degrees Celsius, at what depth would you expect the temperature to be 144 degrees Celsius? (d = depth below surface)
What is d = 3? The temperature will be 114 degrees Celsius at 3 kilometers deep.
500
The result of applying a transformation to an equation when solving the equation.
What is a solution step?
500
4b - 3(b - 2) = 21
What is b = 15?
500
20 = n -(-8)
What is n = 12?
500
Rewrite the equation so that x is a function of y 3x + y/6 = 4
What is x = 2/3 - y __________ ? 3
500
A gazelle can run 73 feet per second for several minutes. A cheetah can run faster (88 feet per second) but can only sustain its top speed for about 20 seconds before it is worn out. How far away from the cheetah does the gazelle need to stay for it to be safe? (g = gazelle's starting distance from cheetah)
What is g > 300? The gazelle needs to stay more than 300 feet away from the cheetah in order to be safe.