6.1
6.2
6.3
Definitions
100
For the equations: 3x=15 how many algebra tiles would you have on the right side of the equation?
15 algebra tiles
100
Solve the equation: 3b + 5 = 14
b= 3
100
Solve this equation: t - = 40 4
t = 10
100
What is a variable?
A variable is a letter or symbol representing a quantity that can vary. (Ex- "x" or "n")
200
What happens if you add a red negative tile and a yellow positive tile together?
They make 0 (or cancel each other out).
200
What is the first step you take to solve this equation: 5x + 7 = 17
You would minus 7 from both sides
200
In this equation: p - = 9 -3 what is the first step you take to solve it?
You multiply both sides by -3.
200
What is an equation?
"A mathematical statement that two expressions are equal"
300
True or False: A balance scale can have different totals on each side.
False- a balance scale must remain balanced on both sides.
300
Solve this equation: 2x + 5 = -7
x= -6
300
Solve this equation: w -24 + - = -29 5
w= -25
300
What does "isolate the variable" mean? (Hint- use 2x + 10 = 20)
You need to find out what the variable is by solving the equation and isolating the variable by itself on one side of the equation.
400
You have 3 "x"'s on one side of the balance scale and 42g on the other side of the balance scale. Write an equation for this problem and solve for x.
3x=42 x=14
400
Solve this equation: 5 + 2m = 9
m= 2
400
Write an equation and solve the equation: Add 1 to a number divide by -3 and the sum is 6
n - + 1 = 6 -3 n= -15
400
What does verify the solution mean?
It means find the the variable is and replace the variable with the number to check and is if your solution is correct.
500
Write an equation for this problem and solve for "x". Maria wants her friends to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.
3x + 4 = 22 x=6
500
Write an equation for this problem and solve for x: David now has $72 in his savings account. Each week he will save $24. After how many weeks will David have a total savings of $288?
72 + 24x = 288 x=9 (or 9 weeks)
500
Write and equation and solve the equation: Add 4 to a number divide by -2 and the sum is -3.
n - + 4 = -3 -2 n=14
500
What is the opposite of "divide by -4"?
Multiply by -4
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