MIDTERM REVIEW 2016 CC ALGEBRA 1

FUNCTIONS Vertical Line Test X’s do not repeat (6, 9), (9, 0), (-1, 6) ONE x for ONE y!

NOT A FUNCTION Vertical line test Touches at TWO points

GRAPHS EXPONENTIAL QUADRATIC

GRAPHS LINEAR ABSOLUTE VALUE

FORMULA Use the formula C = 5/9 (F-32) when F = 78 degrees, solve for C C = 5/9 (78-32) C = (5/9) (46) C = 25.5 C= 26 degrees

ASSOCIATIVE PROPERTY Always Stays Same (x + y) + z = x + (y + z)

MULTIPLICATIVE IDENTITY ELEMENT Write out an example of multiplicative identity element. Y * 1 = Y Anything x by ONE is itself!

MULTIPLICITIVE INVERSE ANOTHER NAME FOR RECIPROCAL FLIP IT! DO NOT change sign! EXAMPLE:

SCIENTIFIC NOTATION Write out a # that is equivalent to x Move decimal left 4 spaces

SOLVE FOR X If 35% of a # is 10, find the number. IS = % 10 = 35 Of 100 x 100 x = 29

FIND THE PRODUCT What is the product of (x – 6)(2x 2 -5x + 4) 2x 3 -5x 2 +4x -12x 2 +30x-24 2x 3 -17x 2 +34x -24 WHEN MULTIPLYING ADD EXPONENTS

CHANGE THE SIGNS! Solve: (2x 2 + 6x + 2)–(3x 2 + 3x +3) 2x 2 + 6x x 2 -3x -3 -x 2 +3x-1 *distribute the negative sign

IRRATIONAL Write out 3 examples of irrational #’s. Square root of 2, ∏, THINK CRAZY #!

ORDER IT! Put the following in order from least to greatest. 2.3, π, 1/3, square root 2 CHANGE TO DECIMALS… 1/3, square root 2, 2.3, ∏

Y-AXIS OR B Where does the equation x + 2y = 6 intersect the y-axis. –x -x Y = mx + b 2y = -x y= -1/2x + 3

PARALLEL Graph x = 4 Parallel with y-axis Graph y = 4 Parallel with x-axis

GET Y BY ITSELF! Solve for y in the equation 3x + 2y = 12 -3x -3x 2y = -3x y=-3/2x + 6

EQUATION Write an equation that has a slope of -2 and an intercept of 4. y=mx+b y=-2x-4

GRAPHING INEQUALITIES Graph: y < 3x -2 Y > -x – 4 DOTTED LINE SOLID LINE L shaped shade LEFT or BELOW

SUBTRACTION Find the difference: 2x 2 – 4x + 6 is subtracted from 5x 2 +7x -1 2x 2 -4x + 6 3x 2 + 3x + 5 KEEP EXPONENTS THE SAME WHEN – OR +

SYSTEMS Solve the system of equations: -1 (2x -3y = 12)→-2x +3y = -12 2x+2y = 2→ 2x +2y = 2 5y = y=-2 Plug in x: 2x +2y = 2 2x + 2(-2) = 2 2x -4 = 2 x = X = 6 2 2

FIND K (WHICH IS X) Point (k, -2) lies on the line whose equation is x -2y = -12. What is the value of k? k-2(-2) = -12 k +4 = k = -16

SQUARE IT! Solve: (x – 10) 2 WRITE TWICE & FOIL (X-10) (X-10) OR DISTRIBUTE EXPONENT (POWER TO POWER MULTIPLY EXPONENTS) ANSWER: X

JUST USE FOIL! Solve (x – 2) (x + 4) X 2 + 4x -2x – 8 X 2 +2x -8 F.O.I.L FIRST, OUTSIDE, INSIDE, LAST

ADD IT UP! Find the sum 2x 2 + 5x – 2 and x 2 – 6x + 4 +x 2 – 6x + 4 3x 2 –x +2 KEEP EXPONENTS, COMBINE LIKE TERMS!

SOLVE FOR X Solve for x: 6x + 2 = 14 x= x = *MULTIPLY BY THE RECIPROCAL ON BOTH SIDES (10/6)