Solve for the Variable
Solve for m:
-2m-6=24
m=-15
What is step 1: 2(3+3)=12
Add the 3's in the parentheses.
Determine whether the function represents exponential growth or decay.
f(x)= 4(1.3)x
Growth. The ratio is 1.3 and is greater than 1.
What is the ratio? 13% loss each year.
.87
15, 10, 5, 0, -5, -10
Linear. Decreases by 5 each time
Solve for x:
5x-3=7
x=10
What is step #1? -4b+(2b-3(5)) =15
Multiply the -3 and 5 in the parentheses.
Name 3 words that indicate exponential growth in a word problem.
double, triple, quadruple, appreciates, etc.
What is the ratio? 17.5% increase each year?
1.175
3, 6, 12, 24, 48
Solve for m:
4-m=-12
m=16
What comes first? division, exponents, or subtraction
Exponents
Name 3 words that indicate exponential decay in a word problem.
depreciate, halved, loss etc.
52% appreciation each month
1.52
Write an equation and solve: Mr. Vivas started working at 14 years old and he made 6 dollars an hour. Each year his hourly rate went up 6%. What will his hourly rate be when he is 25? Round to the nearest Hundreth.
S(x)= 6(1.06)x
S(x)= 6(1.06)11
$11.39
Solve for x:
7x+20=55
x=5
What step happens last? 3x+1=7
Divide by 3
Determine whether the function represents exponential growth or decay.
f(x)= 2000(0.88)x
Decay because the ratio is less than 1.
What is the ratio? 8% decrease each year.
.92
Slope
Linear
Solve for m: 62=2m-6
21=m
What is the first step? 2(2x+3x-1)=5
Add the 2x and 3x
A car worth $30,000 loses 12% of its value every year.
how much is the care worth after 10 years? Round to the nearest dollar.
$8,355
What is the ratio for Quadruples?
4
Triple Score Bonanza: What is the 5th term in the series: 1,3,9,27, 81,____
Is this Linear or Exponential? Write an equation. What is the 5th term in the sequence?
243, Exponential, f(x)=1(3)x