UNIT ONE REVIEW

ALGEBRAIC EXPRESSION

100

Today" temperature is 3 degrees warmer than yesterday's temperature.  Write an expression to represent today's temperature, t.

3 + t

200

Barbara has saved d dollars for a $65 sweater.  Write an expression for the amount of money still needed to buy the swerater.

65-d

300

Evaluate b - a for b = 11 and a = -5

16

400

Grapes cost $ 1.99 per pound. Write an expression for the cost of g pounds of  grapes.

1.99g

500

Each member of an art club will make the same number of posters to advertise their club.  They will make 150 posters total.  Write an expression for how many posters each member will make if there are m members.  Find how many posters each will make if there are 5 , 10, AND 15 posters.

150/p

30   15   10

Equations

100

-7.8 = x + 5

-12.8

200

z - 1/4 = 7/8

9/8 or 1 1/8

300

-30= n/3

-90

400

If 6n + 22 =70 find the value of 3n

24

500

5/6 f - 3/4 f + 3/4  = 1/2

-3/19

Equations with variables on both sides

100

x + 7 =12 + 3x -7x

1

200

4x + 2 =3x

-2

300

-(x-4) = 2x + 6

-2/3

400

0.2 ( 7 + 2t )  =0.4t + 1.4

all real numbers or infinitely many solutions or R

500

One photo shop charges .36 per print .  Another photo shop charges 2.52 plus 0.08 per print.  How many photos does Juan have to print for the cost to be the same.  

9

Absolute Value Equations

100

| x | =13

13

-13

200

| x + 6 | =21

15

-27

300

3 | y | + 4 =31

9

-9

400

-4 | x-4| + 8 = 16

No Solution

500

-5 |x + 3 | -7 =-7

|

-3

Proportions

100

n/8 = 2/10

1.6

200

1/3= x / x-6

-3

300

The ratio of skateboarders to bikers in an extreme sports constest is 7: 2. There are 91 skateboarders , how many bikers?

26

400

A tree casts a shadow that is 14 ft long at the same time that a nearby 2ft pole cast a shadow that is 1.75 ft long.  How tall is the tree?

12.25ft

500

See drawing on board and solve for x

2.5 ft