Algebra 1 Common Core Student Edition, Grade 8-9

Ch ap t er Rev i ew

Co n n ect in g H G i d eas an d A n sw er i n g t he Essent ial Qu est i o n s

1 P r o p o r t i o n a l i t y

In t he graph of a line, t he

ratio for the slope indicates

the rate of change.

Rate of Change and Slope (Lesson 5-1)

. rise _ Yl ~ / i
sl°Pe run x2 - *1

Parallel and Perpendicular

Lines (Lesson 5-6)

Par al l el l i n es h av e t h e sam e sl o p e. The

product of t he slopes of perpendicular

lines is - 1.

Fu n ct i o n s

There are several forms for

the equation of a line. Each

form communicates different

information. For instance,

from the point-slope form,

you can det ermine a point

and t he sl op e of a l i ne.

Slope-intercept Form (Lesson 5-3)

y = mx + b

Point-Slope Form (Lesson 5-4)

y-y, = m(x-x1)

Standard Form (Lesson 5-5)

Ax + By = C

3 Modeling

Yo u can m o d el t h e t r en d

of t he real-world dat a in a

scat t er p l ot w i t h t h e eq u at i o n

of a line. You can use t he

equat i on t o est i mat e or t o

make predictions.

Scatter Plots and Trend Lines

(Lesson 5-7)

The t r end l i ne t h at sh o w s t h e r el at i o nshi p

between two sets of data most accurately is

cal l ed t he l i ne of best f i t.

Ch ap t er V o ca b u l a r y

absolute value function

(p. 346)

direct variation (p. 301)

extrapolation (p. 337)

in te rp o la tio n (p. 337)

inverse fu n c tio n (p. 329)

linear e q u a tio n (p. 308)

lin e o f best f i t (p. 339)

negative correlation (p. 336)

no correlation (p. 337)

opposite reciprocals (p. 331)

parallel lines (p. 330)

perpendicular lines (p. 331)

piecewise function (p. 348)

point-slope form (p. 315)

positive correlation (p. 336)

rate o f change (p. 294)

residual (p. 344)

scatter plot (p. 336)

slope (p. 295)

slope-intercept form (p. 308)

' s ta n d a r d f o r m o f a lin e a r

equation (p. 322)

■ s t e p f u n c t i o n ( p. 3 4 8 )

■ t r e n d l i n e ( p. 3 3 7 )

■ x - i n t e r c e p t ( p. 3 2 2 )

■ y - i n t e r c e p t ( p. 3 0 8 )

Choose the vocabulary term that correctly completes the sentence.

1. Estim ating a value betw een two know n values in a d ata set is called ?.


2. The slope of a line m odels th e J_ of a function.


3. The form of a linear eq u a tio n th a t shows th e slope an d one p o in t is the


4. Two lines are p erp en d icu lar w hen th eir slopes are J_.


5. The line th a t m ost accurately m odels d ata in a scatter plot is th e ?.

C

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