STAAR ALGEBRA I STAAR REFERENCE MATERIALS

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2015–2016 FACTORING. 1) + b) m. k. STAAR ALGEBRA I REFERENCE MATERIALS. State of Texas Assessments of Academic Readiness. STAAR ® Perfect square trinomials

STAAR

STAAR ALGEBRA I REFERENCE MATERIALS

®

State of Texas Assessments of Academic Readiness

FACTORING a2 + 2ab + b2 = (a + b)2

Perfect square trinomials

a2 − 2ab + b2 = (a − b)2 a2 − b2 = (a − b)(a + b)

Difference of squares

6

PROPERTIES OF EXPONENTS

am an = a(m + n)

Product of powers

01

am

Quotient of powers

an

(am)n = amn

Power of a power

m

Rational exponent

LINEAR EQUATIONS

15

Standard form

an =

–2

Negative exponent

= a(m − n)

−n

a

=

n

am

1 an

Ax + By = C y = mx + b

Point-slope form

y − y1 = m(x − x1)

Slope of a line

m =

20

Slope-intercept form

y2 − y1

x2 − x1

QUADRATIC EQUATIONS

Standard form

f ( x ) = ax 2 + bx + c

Vertex form

f ( x) = a( x − h)2 + k

Quadratic formula

x =

Axis of symmetry

x =

−b

2

b − 4 ac 2a

−b 2a

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