ALGEBRA 1 SOL TEST
Brain Dump

Graphing:

= slope V ertical H orizontal = y-intercept U ndefined slope O (slope) zero

OR Stack and Subtract X = # Y = #

Parallel = same slope

Perpendicular = switch sign and flip fraction – Opposite reciprocal

Variations: Functions:

Direct: , constant () = Roots, Zeros, Solutions, X-Intercepts

Where it crosses X-Axis

Inverse: , constant () = Relation is a Function if:

• passes the vertical line test

Factoring: - x cannot repeat

1. GCF
2. DOS ( + ) ( - ) Exponent Rules:
3. M/A Table - – means ADD
   1. SLIDE & DIVIDE - - means SUBTRACT

-- means multiply

- - get rid of the bad vibes, move to other side.

Quadratic equations: - - anything to zero power is 1.

- ax +bx+c

Equations & Inequalities: Systems of Equations:

General steps for solving equations, - Graph: solution is where lines intersect inequalities and literal equations: parallel, no solution, one solution

1. Distribute
2. Box Variable Radicals:
3. Solve OUTSIDE of box Circle Pairs → move outside
4. Solve INSIDE of box Single Pringle Units → stay inside

Inequalities… flip the sign when you-- Properties:

1.Multiply/divide by a negative number -Associative=(a+b)+c=a+(b+c) Commutative= a+b=b+a

2.Change to -Distributive=a(b+c)=ab+ac Identity= a+0= a a1=a

Desmos Calculator Steps:

Any equation or inequality – type into DESMOS and see where it crosses the x axis.

Inequalities – Dotted lines mean < or >

Solid lines mean or

-To create linear/quadratic regressions/analyze data.

See a Table, type a Table. 🡪insert x and y values

Type in standard form of a line/quadratic y=mx+b OR ax^2+bx+c

Replace all x’s and y’s with the correct subscript

Finally change the = sign to a ~ and you’re in business!!

-To Find a GCF 🡪 Type GCF and then type #’s separated by a ,

-Type in Slope & Count the Rise over Run!

-Plug Factoring problems into DESMOS and match the graphs!

-Type in any expression that substitutes variables in with parentheses around the value you’re plugging in for.

-Plug in your point or points 🡪plug in y=mx+b🡪replace m with slope, parallel, perpendicular, etc. 🡪add your slider and find the b value.