Algebra 1 Common Core Student Edition, Grade 8-9

Co m m o n Co r e Cu m u l a t i v e

St a n d a r d s Re v i e w

ASSESSMENT

T I P S F O R SUCCESS

Some questions on standardized

tests ask you to describe how

changing an equation affects

its graph. Read the sample

question at the right. Then

follow the tips to answer it.

TIP 1

You may w ant to sk etch

th e graphs of both

equations and com pare

th e graphs.

How would the graph of y = x2 - 1 change

if the equation became y = x2 + 21

C7T) The graph would shift 3 units down.

C O The graph would shift 3 units up.

C O The graph would shift 2 units down.

C O The graph would shift 2 units up.

TIP 2

Think about w hat operation

you would u se to change

y = x 2 - 1 to y = x 2 + 2.

Think I t Through

To change the equation

y = x2 - 1 to y = x2 + 2, you

add 3 to the expression x2 - 1:

y = X2 - l + 3 = X2 + 2

Adding 3 to the constant term of

a quadratic function causes the

graph to shift 3 units up.

The correct answer is B.

Vocabulary Builder

As you solve test items, you must understand

the meanings of mathematical terms. Choose

the correct term to complete each sentence.

A. The (vertex, axis o f symmetry) is the highest or

lowest point of a parabola.

B. Two distinct lines are (parallel, perpendicular)

if they have the same slope.

C. The (domain, range) of a function is the set of

all possible values for the input, or independent

variable, of the function.

D. A (proportion, rate) is an equation that states

that two ratios are equal.

E. A(n) (quadratic, exponential) function is a

function of the form y = ax2 + bx + c.

Se l e ct e d Re sp o n se

Read each question. Then write the letter of the correct

answer on your paper.

1. Manuela can type about 150 words in 4 minutes.
   At this rate, about how long will she take to type
   2000 words?
   C O 10 minutes
   CO 50 minutes

CO 75 minutes

2. The graphs of
   y = —7 x + 12 and
   y = — 2 2 3 X — 3 are shown.
   Which region describes
   the solutions of the
   system of inequalities
   y £ — 7x + 12 and
   3'

C O Region A

CO Region B

CO Region C

CO Region D

608 Ch ap t er 9 Co m m o n Co r e Cu m u l at i v e St an d ar d s Rev i ew