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Reference Table

100

Use the slope formula to find the slope of the line through (−3,4) and (5,−2).

m=-3/4

200

• 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

300

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

400

Convert the following equation from standard form to slope-intercept form:

3x+2y=10

y=-3/2+5

500

Find the average rate of change between the points:

(2,5) and (6,13)

m=2

Quadratic equations

100

Solve by factoring:

x²-9x+20=0

x=5, x=4

200

Solve using the quadratic formula:

3x²+x-4=0

x=1 or x=-4/3

300

Solve by completing the square:

x²+6x+5=0

x=-3, x=-2

400

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

500

Write a quadratic equation with roots 2 and -5.

Example: x²+3x-10

Equations & Inequalities

100

Solve: 

4(x-3)=2x+6

x=7

200

Solve:

2x-5<7

x<6

300

Solve the inequality:

−3(2x+5)+4 ≥ 2-5x

x<-13

400

Write an inequality for:

"A number decreased by 4 is greater than 10."

x-4>10

500

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

Systems of equations

100

Solve using substitution:

y= 2x+1

y=-x+7

x=2, y =5

200

Solve using Elimination:

3x+4y=18 5

x−2y=4

x=2, y=3

300

Determine the number of solutions:

y=3x+4

y=3x-2

None. why?

400

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

500

Solve the system:

y=x²

y=x+2

x=-1, y=1 and  x =2, y=4

Sequences & Exponential Functions

100

Find the next two terms of the arithmetic sequence:
4, 7, 10, 13, …

16,19

200

Find the 8th term for the arithmetic sequence with first term 5 and common difference 3.

26

300

Find the 5th term of the geometric sequence:
2, 6, 18, …

162

400

Write an exponential function that models:
A population starts at 100 and doubles every year.

100(2)^x

500

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