Reference Table
Use the slope formula to find the slope of the line through (−3,4) and (5,−2).
m=-3/4
Solve by factoring:
x2-9x+20=0
x=5, x=4
Solve:
4(x-3)=2x+6
x=7
Solve using substitution:
y= 2x+1
y=-x+7
x=2, y =5
Find the next two terms of the arithmetic sequence:
4, 7, 10, 13, …
16,19
The reference table includes the formula for slope-intercept form y=mx+b.
Identify the slope and y-intercept of the equation:
y=−3x+5
Slope= -3, y-intercept= 5
Solve using the quadratic formula:
3x2+x-4=0
x=1 or x=-4/3
Solve:
2x-5<7
x<6
Solve using Elimination:
3x+4y=18 5
x−2y=4
x=2, y=3
Find the 8th term for the arithmetic sequence with first term 5 and common difference 3.
26
The reference table gives the quadratic formula.
Without solving, identify the values of a, b, and c in:
4x2−6x+1=0
a=4, b=-6, =1
Solve by completing the square:
x2+6x+5=0
x=-3, x=-2
Solve the inequality:
−3(2x+5)+4 ≥ 2-5x
x<-13
Determine the number of solutions:
y=3x+4
y=3x-2
None. why?
Find the 5th term of the geometric sequence:
2, 6, 18, …
162
Convert the following equation from standard form to slope-intercept form:
3x+2y=10
y=-3/2+5
The area of a rectangle is 48 square units. Its length is x+6 and its width is x−2.
Write and solve a quadratic equation to find the dimensions of the rectangle.
x=-10 or x=6
Length= 6+6 = 12
Width= 6-2 = 4
Write an inequality for:
"A number decreased by 4 is greater than 10."
x-4>10
Write a system of equations:
A student buys 3 notebooks and 2 pens for $11. Another student buys 1 notebook and 4 pens for $9.
3x+2y=11
x+4y=9
Write an exponential function that models:
A population starts at 100 and doubles every year.
100(2)x
Find the average rate of change between the points:
(2,5) and (6,13)
m=2
Write a quadratic equation with roots 2 and -5.
Example: x2+3x-10
A phone plan charges $20 plus $5 per GB of data. Write and solve an equation to find how many GB you can use if your total bill is $60.
x= 8GB
Solve the system:
y=x2
y=x+2
x=-1, y=1 and x =2, y=4
A car loses 15% of its value each year. Write an exponential model and find its value after 3 years if it started at $20,000.
20,000(1-0.15)3= $12,282.50