Number of Solutions
How many solutions does this equation have? Explain.
3x + 5 = 14
One Solution
-7 + m = -2
m = 5
Solve for w: P = 2l + 2w
w = (P - 2l) / 2
These are the rules for adding integers with the same sign.
Add the number values and keep the sign.
Write the equation: 4 less than a number is 11.
What is x - 4 = 11?
How many solutions?
4(x − 2) = 4x + 5
No Solution
-5 + 10b = -75
b = -7
Solve for N: R = PN + C
N = (R - C) / P
The factors of 12.
1, 2, 3, 4, 6, 12.
You bought a binder for $5 and four erasers. You spent a total of $7. How much did each eraser cost?
What is 50 cents?
I simplified an equation and ended with: 0=0
How many solutions does the original equation have?
Infinitely Many Solutions
4(y - 2) + y = -13
y = -1
Solve for n: K = 2(m + n)
n = (k/2) - m
List three prime numbers.
2, 5, 11.
These are the three let statements used to represent three consecutive odd integers.
What is x, x+2, x+4?
How many solutions?
5(2g − 3) + 4 = 10g − 11
Infinitely Many Solutions
5x − 7 = 2x + 11
x = 6
Solve for b: v2 = u2 + 2ab
b = (v2 - u2) / 2a
The number of feet in two miles.
What is 10,560?
Four friends buy identical tickets. They also pay a $12 service fee per ticket. Their total is $248.
What is the price of each ticket before the service fee?
What is $50?
Fill in the blanks to make the equation have no solution:
3(2x − 5) + 4x = ____x − ____
10 and anything BUT 15
3(2w − 5) + 4 = 2(w + 7) + 5w
w = -25
Solve for h: ah + bh = c
What is h = c / (a + b)
The volume formula for a cylinder.
V = (Pi)r2h
A rectangular basketball court has a perimeter of 98 feet. The length is 7 feet more than twice the width.
What are the dimensions of the basketball court?
Width = 14 ft, Length = 35 ft