Chapter 1 Review

Miscelaneous

100

Translate to an algebraic expression:  the sum of 2 times a number (n)

2n

200

12 x 7 = 

84

300

4/3 x 1/2 = 

4/6 or 2/3

400

Translate to an algebraic expression:  eight more than the sum of six times a number (n) and 9 times a number (n) added to one

6n + 9n +1 +8

500

Evaluate:  mn/3

if m = 9; n = 7

21

Expressions

100

Verbalize:  6(7) + 3

Six times seven plus three

200

Verbalize:  4[(12-4) + 2]

four times the sum of the difference between twelve and four and two

300

Evaluate:  3a + b if a=4 and b=8

20

400

Evaluate 3b/a + ac if a=3, b=4, c=5

19

500

There are 36 inches in 1 yard.  What is the expression to find the number of yards in x inches.

yards = inches/36

Properties

100

12 x 0 = 0

Multiplication property of zero

200

5 + 0 = 5

addition identity

300

(3 x 5) x 2 = 3 x (5 x 2)

Associative multiplication

400

4 + (a + 3) = (a + 3) + 4

commutative addition

500

Simplify:  11 x (t x 4)

44t

Coordinate Plane/Functions

100

What is the DOMAIN of this relation?

(7,3) (5,1) (6,5) (4,4)

7, 5, 6, 4

200

What is the RANGE of this relation?

(7,3) (5,1) (6,5) (4,4)

3,1,5,4

300

What is the function rule for these data?

x     y

1     2
2     5
3     8
4     11

y = 3x - 1

400

If a scatterplot shows datapoints trending up and to the right, is this a POSITIVE, NEGATIVE, or NO RELATIONSHIP?

Positive

500

Is this a FUNCTION?

(1,5) (5,1) (6,5) (5,6)

No, the x-value 5 points to 2 DIFFERENT y-values

Vocabulary

100

DOMAIN

set of all x-coordinates

200

Origin

Point (0,0)

300

Counter-example

Demonstrate a conjecture is not true

400

Function

Each x is paired with exactly one y

500

Algebraic Expression

Expression that contains at least one operation and at least one variable