`Apply @ 52. Writing If a one-step equ atio n includes addition, should you expect to solve it by`

using addition? W hy or why not?

`1500`

- Think About a Plan C ostum es for a play at a com m unity th eate r cost

$1500, w hich is one third of th e total budget. W hat is th e total b udget for

the play?- How can th e m odel at the right help you solve th e problem?
- How does th e m odel tell you w hich operation to use in th e equation?

- Entertainm ent On a quiz show, a co n testa n t was p enalized 250 points for an

incorrect answer, leaving th e co n testa n t w ith 1050 points. How m any points did the

co n testan t have before th e penalty?

`1500 1500`

`Solve each equation. Check your answer.`

- 7 = 3 + a
- § g = - 4

`61-§/4`

- 4d
- 2 - = 2 10

`2.4`

t

`56.23 = 7x 57.z — 4 - = 2-z 3 Z`

`59.r;14 ~ 5 _ r^ 60.h + 2.8 = - 3 .7`

`62.-4 = | d 63. 1. 6 m = 1.28`

`65.4= l| + P^66 .—5.3 + z = 8.9`

G\ 00 5b = 8.5 69.^55 n=--3- 10

7 0. Picnics At a p arty of 102 people, 17 lb of potato salad is served.

a. Write a n d solve an equation to find how m any people each p o u n d of potato

salad serves.

b. W rite an d solve an equation to find th e average n u m b e r of p o u n d s of potato

salad th at each p erso n is served. R ound your answ er to the nearest h u n d red th.

- Error Analysis D escribe an d correct the error in solving th e equ atio n at

th e right.

7 2. U.S. H is to ry Between 1788 a n d 2008, th e U.S. C onstitution was am en d e d

27 times. How m any years have p assed on average b etw een one

am e n d m e n t an d th e next, to th e nearest te n th of a year? - Volleyball In volleyball, players serve th e ball to th e opposing team. If

th e opposing team fails to hit the ball, th e service is called an ace. A player's ace

average is th e n u m b e r of aces served divided by th e n u m b e r of gam es played.

A certain player has an ace average of 0.3 an d has played in 70 gam es this season.

How m any aces has th e player served? - Open-Ended W rite a problem th a t you can m odel w ith a o ne-step equation. Write

th e equation an d solve the problem. - Language According to one count, th e letter e m akes u p one eighth of a typical

d o cu m en t w ritten in English. A d o cu m en t contains 2800 letters. About how m any

letters in the d o cu m en t are not e?

86 Chapter 2 So l v i n g Eq u a t i o n s