Linear Basics
What is the standard form of a linear equation?
y=mx+b
What is the slope in Y=3x+2
3
What is the general form of an exponential equation?
y = a · bˣ
On a graph, what does the y-intercept represent?
Where the line crosses the y-axis
A store charges $5 per item. Write a linear equation for total cost.
y=5x
What type of line does y=5 represent?
A horizontal line
What is the y-intercept of y = -4x + 6
6
Does y = 2(0.5)ˣ represent growth or decay?
Decay
What is the slope of a horizontal line?
0
A taxi charges $3 base fare plus $2 per mile. What is the cost for 4 miles?
$11
Solve for x: 2x + 3 = 11
Find the slope between (2, 4) and (6, 12)
2
What is the value of y = 3(2)ˣ when x = 3?
24
What is the slope of a vertical line?
Undefined
A bank account earns 5% interest annually starting with $1,000. Write the equation.
y = 1000(1.05)ˣ
Evaluate: (2 + 3)² ÷ 5 × 2 - 1
9 (not 4! Remember to go left to right after exponents)
Evaluate the slope formula (12 - 4) ÷ (2 + 6 ÷ 2 - 3)
8
A population of 500 grows at 10% per year. Write the equation.
y = 500(1.10)ˣ
How does the graph of y = 2ˣ differ from y = x?
A phone plan costs $20/month plus $0.10 per text. How many texts for a $35 bill?
150 texts
Solve the system: y = 2x + 1 and y = -x + 7
x = 2, y = 5
Find the x-intercept of 3x + 4y = 12
x=4
: A car worth $20,000 depreciates at 15% per year. What is it worth after 3 years?
≈ $12,282.50
Describe the transformation of y = 2ˣ⁺³ compared to y = 2ˣ
Shifted 3 units to the left
A bacteria colony doubles every hour starting at 50. How many after 6 hours?