Unit 1 Review

Simplifying Expressions

100

sqrt400

20

200

sqrt(16/25)

4/5

300

(-1/3)^2

1/9

400

(3^3-9)^2

324

500

-15-(-6)*2^3

33

Evaluating Expressions

100

Are the expressions equivalent?

9y*0 and 9y

No

200

Are the expressions equivalent?

(10-3) +w and w+7

Yes

300

Evaluate if a=-1 and b=5

-2b-3a

-7

400

Evaluate if p=2 and q=4.

((pq)^2)/(-8)

-8

Subsets of the Real Numbers

100

Name the subset(s) of the real numbers that describes the value.

-100

integer and rational

200

Name the subset(s) of the real numbers that describes the value.

-2.324

rational

300

Name the subset(s) of the real numbers that describes the value.

sqrt46

irrational

400

Name the subset(s) of the real numbers that describes the value.

sqrt25

natural, whole, integer, rational

Real Number Properties

100

Name the property illustrated.

-10+4 = 4+(-10)

Commutative Property of Addition

200

Name the property illustrated.

(x+y)+z = x+(y+z)

Associative Property of Addition

300

Name the property illustrated.

-8+0=-8

Identity Property of Addition

400

Name the property illustrated.

4/7*(-1)=-4/7

Multiplicative Property of -1

500

Name the property illustrated.

6(2+x)=12+6x

Distributive Property

Distributive Property

100

Simplify.

3(h-5)

3h-15

200

Simplify.

(14-9p)1.1

15.4-9.9p

300

Simplify.

1/3(3z+12)

z+4

400

Simplify.

-(-8-6t)

8+6t

500

Simplify.

(3n+5)/7

3/7n+5/7

Combining Like Terms

100

Simplify.

17y-15y

2y

200

Simplify.

3v^2-2v^2

v^2

300

Simplify.

2f+7g-6+8g

2f+15g-6

400

Simplify.

-5k-6k^2-12k+10

-17k-6k^2+10

500

Simplify.

6(y+5)-3(4y+2)

-6y+24

Real-World Problems

100

Katie went to the driving range to hit some golf balls, which cost $5 per bucket.  While she was there, she took a $40 lesson.  Write an algebraic expression that models the relationship if n is the number of buckets of balls that she hits.

40+5n

200

The price of a share of stock dropped $4.50 per day for 5 days.  What integer best describes the total change in price?

-22.5

300

The tax a plumber must charge for a service call is given by the expression 0.06(25+25h) where h is the number of hours the job takes. Use the distributive property to rewrite the expression.

2.1+1.5h

400

The tax a plumber must charge for a service call is given by the expression 0.06(25+25h) where h is the number of hours the job takes.  How much tax would they charge for a job that takes 20 hours?

$32.10