MIDTERM REVIEW2016

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 testTouches 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

• 7.376 x 10-4

• 0.0007376• 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)(2x2 -5x + 4)

2x3 -5x2 +4x -12x2 +30x-24 2x3 -17x2 +34x -24

• WHEN MULTIPLYING ADD EXPONENTS

CHANGE THE SIGNS!

• Solve:(2x2 + 6x + 2)–(3x2 + 3x +3)

• 2x2 + 6x + 2 -3x2 -3x -3• -x2 +3x-1

• *distribute the negative sign

IRRATIONAL

• Write out 3 examples of irrational #’s.

• Square root of 2, ∏, 2.567802957398

• •

• 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 + 6 • 2 2• 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 + 12• 2 2 2• 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 < OR >• SOLID LINE < OR >

L shaped shade LEFT or BELOW

SUBTRACTION

• Find the difference:• 2x2 – 4x + 6 is subtracted from 5x2 +7x -1• 2x2 -4x + 6• 3x2 + 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 = -10• 5 5 y=-2• Plug in x: 2x +2y = 2• 2x + 2(-2) = 2• 2x -4 = 2 x = 3 • +4 +4

2X = 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 =-12• -4 -4 k = -16

SQUARE IT!

• Solve: (x – 10)2

WRITE TWICE & FOIL (X-10) (X-10) ORDISTRIBUTE EXPONENT (POWER TO POWER MULTIPLY EXPONENTS)

ANSWER: X2 + 100

JUST USE FOIL!

• Solve (x – 2) (x + 4)• X2 + 4x -2x – 8• X2 +2x -8

F.O.I.LFIRST, OUTSIDE, INSIDE, LAST

ADD IT UP!

• Find the sum• 2x2 + 5x – 2 and x2 – 6x + 4• +x2 – 6x + 4• 3x2 –x +2

KEEP EXPONENTS, COMBINE LIKE TERMS!

SOLVE FOR X

• Solve for x:• 6x + 2 = 14 x= 20• 10 -2 -2 6x = 12 10*MULTIPLY BY THE RECIPROCAL ON BOTH SIDES (10/6)