Algebra 1 Important Topics

Slope

100

What is the slope of the line y = 3x + 4 ?

3

200

What is the slope of the line 2x + 3y = 4?

-2/3

300

What is the slope of the line with the points (1,5) and (-3,4)?

1/4

400

By the slopes of these lines, we can conclude that they are...

y= 2x + 4

y= 2x - 3

Parallel

500

By the slopes of these lines, we can conclude that they are...

y= 2x + 7

y= -1/2x - 4

Perpendicular

Factoring

100

Factor

a² - 4a -12

(a - 6) (a + 2)

200

Factor

a²+17a+72

(a + 8) (a + 9)

300

Factor 

6y²-6y-12

6 (y - 2) (y + 1)

400

Factor

t³ + 27

(t +3) (t²-3t+9)

500

Factor

ab² + ba² - 5a - 5b

(a + b) (ab - 5)

Formulas

100

What is the Pythagorean Theorem?

a² + b² = c²

200

What is Slope-Intercept form?

y = mx + b

300

What is Point-Slope form?

y - y₁ = m ( x - x₁ )

400

What is Standard Form?

ax + by + c = 0

500

What is the difference of two squares ?

(a - b)² = a² - 2ab + b²

Simplifying Equations

100

3 (a² + 4a - 12) 

3a² + 12a -36

200

x² + 3x + 2 + 4x² − 5x −7x² +3x +2 + 4x² −5x −7.  

2x² -4x -3

300

5x²y−3xy²+4x²y−2xy²

9x²y − 5xy²

400

 1/2a - 1/3b + 3/4a + b

5/4a + 2/3b

500

m²n² - mn + mn - 3m²n + 4m²n²

5m²n² -3m²n

System of Equations

100

A method used for solving systems of equations by adding or subtracting equations to eliminate a variable

Elimination

200

A method used to solve systems of equations by replacing a variable in one equation with its equivalent expression from another equation

Substitution

300

A method used to solve systems of equations visually, and finding the point of intersection.

Graphing

400

Solve the following system of equations. 

x+y=−4

−x+2y=13

(-7, 3)

500

Solve the following system of equations.

2x+ 3y =6

4x +6y =12

Infinitely Many Solutions