Simple Equations
4 + y/6 = 9
y = 30
4a + 8a = 12
a = 1
Solve x/r = r for x.
x = r2
Find the unit rate.
$370 for 40 hr. of work.
$9.25 per hour
Stephon is an engineer studying stopping distance in feet of a car traveling 55 mi/hr. What is the speed in feet per second?
80 2/3 ft/sec
When Laura is 6 times as old as she is now, she will be 84. How old is she?
Laura is 14 years old.
4(w - 7) = 8
w = 9
Solve nx/b - n = x for n.
n = bx/(x - b)
3 to 7
What is the difference between an equation and an expression?
An equal sign
The difference of a number and 27 is -14. Find the number.
The number is 13.
Express the repeating decimal as a quotient of integers (a fraction): 0.545454...
6/11
Solve y = mx + b for b.
b = y - mx
Solve the proportion
4x/7 = 64/56
x = 2
What property is this: a(b + c) = ab + ac
The distributive property.
w = 1/12
(4y - 4)/8 + 26/2 = 1/4
y = -49/2
Solve ax + b + a(x + b) = b for x.
x = -b/2
If Jeremy earned $76 in 8 hours, how much will he earn in 20 hours?
$190
The set of numbers called the integers is represented with a Z, because of the German word for number. What is the German word for number?
Zahlen
y/3.7 - 1.5 = -2.8
y = -4.81
The sum of three consecutive integers is 84. Find the integers.
27, 28, and 29
Solve df = vt + di for v. Given df = 324 ft, t = 2 sec, and di = 150 ft.
v = (df - di)/t
v = 88 ft/sec
Solve the proportion
(n + 1)/15 = (n - 1)/12
n = 9
Why do you need a common denominator when adding and subtracting fractions?
Because when you add and subtract things they must have the same name.