Find the solution
4(p-1) = 1/2 (p-8)
x=0
What property is between these two steps:
1. -4x-10=6x+12
2. 4x+-4x-10=4x+6x+12
Addition Property of equality
Subtraction Property of equality
Inverse Property of equality
Communative Property of equality
Addition Property of equality
What is the first step to solving this equation?
2+4+x=6
Combine or add the 2+4
4x + 9 = 33
One Solution
x = 6
Write both the equation and solution:
The school carnival charges a $7 entrance fee and $2 for each game ticket. Olivia spent $31. How many games did Olivia play?
7+2x=31
12 games
2(2x-5)=2x-5
answer as a fraction!
x=5/2
write the equation for
six less than twice a number is eighteen
2x-6=18
What is the first step to solving this equation?
-2(3t-5)=-6t
Distribute the -2 to the parentheses
x + 3x = 4x
Infinite Solutions
Write both the equation and solution:
A customer buys a fish tank for $40 and several fish for $5 each. The total bill is $70. How many fish did they buy!
40 + 5x = 70
6 fish
12+2x+x=9x+6
x=1
What is the solution:
6/(y-5) = 8/(y+1)
y=23
What is the first step to solving this equation?
x + 4 = 8 + 2x + 4x
Combine or add the 2x and 4x on the right side of the equation
4(y - 2) + y = 5y + 2
No Solution
Write both the equation and solution:
The student council started with $125 in donations. Then they collected the same amount from each of 8 classrooms. They raised $445 total. How much money did they collect from each classroom?
125 + 8x = 445
$40 from each classroom
3(5m-2) = 10m+9
m=3
For the first step John combined like terms on the left, write his new equation
-4x + 7 - 6x = 27
-10x + 7 =27
or
7-10x = 27
Solve for y:
6x - 2y = 8
y = -4 + 3x
OR
y = 3x - 4
-6(m + 1) + 18 = 24
One Solution
m = -2
Write both the equation and solution:
A family pays a parking fee of $15 and buys admission tickets that cost $12 each. Their total cost was $99. How many tickets did they buy?
15 + 12x = 99
7 tickets
write the equation for
four more than the square root of three times a number is seventeen
sqrt(3x) + 4 = 17
Solve for b
a = 10b + 3c
b = (a - 3c)/10
7k - 8 + 2(k + 12) = 8k - 8 + k + 24
k = 4
Write both the equation and solution:
Marcus already read 12 books this year. He plans to read the same number of books each month for the next 6 months. By the end of the challenge, he will have read 48 books. How many books a month will he read?
12 + 6x = 48
6 books