Things to Remember for the Algebra 1 SOL Test
To Clear the Memory of the Calculator: 2nd + 7 1 2
Formulas: (These MUST be memorized … they will NOT be given to you!)
Slope (given two points):Slope-intercept:
“Zero slope” (or, m=0) is a HORIZONTAL line “undefined slope” is a VERTICAL line
0/5 = 0 (zero in the numerator)5/0 = “undefined” (zero in the denominator)
Domain/input/x-value
Range/output/y-value
“Factor” or “Factored” or “Factored form” etc. – look at your answer choices – they should be multiplication problems. You can always multiply them to get the given answer. (“Work backwards”.)
“Varies directly” – y = kx. Graph will always go through the origin (0,0).
“Varies Inversely” – y = k/x.
“A Zero” or “the Solution Set” is when the function/equation EQUALS zero. Zero…Root…X-Intercept…Solution all means the same thing! GRAPH and look for the x-intercept(s)!
“A function” – does NOT have a repeating x-value/input/domain. “Not a function” has a repetition in the x-value/input/domain. Vertical line test.
If you see a “ ” (square root) symbol, you can use your calculator to find the closest answer.
Any equation with an x2 will have TWO solutions possible. That includes equations like this: (x-2)(x+3)=0 as well as ones like: x2+2x-6 =0
To find Line or Curve of Best Fit:
- Stat…Edit…L1 and L2
- 2nd y= Enter Enter Zoom 9
- Stat Right 4 (if your graph looks linear) or 5 (if your graph looks quadratic) Enter
Z-score (z) =
Parentheses are your friends!!! Use them any time you put a fraction or an exponent in your calculator!
Solving Inequalities
When you solve and multiply or divide both sides by a negative number…you must flip the inequality.
Graphing Linear Inequalities
Graph the Line…Use solid ( ,) line or dashed (< , >) line. Pick test point for shading.
Property Review: Algebra 1 (Examples)
Property / ExampleAssociative Property /
Distributive Property / 4x - 2 = (2x – 1)2
Commutative Property /
Identity Property of Addition / 4 + 0 = 4
Identity Property of Multiplication /
Addition (Subtraction) Property of Equality / If 3x + 3 = 4 then 3x + 3 – 3 = 4 – 3
Multiplication (Division) Property of Equality / If , then
Inverse Property / -3 + 3 = 0
Substitution Property / If 3x = 9y and x = 6, then 3(6) = 9y.
Multiplication Property of Zero /
Reflexive Property / 2x = 2x
Symmetric Property / If 3 = x, then x = 3.
Transitive Property / If a + b = c and c = d, then a + b = d.
Property of -1 /
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