# Algebra 1 Common Core Student Edition, Grade 8-9

(Marvins-Underground-K-12) #1
``````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``

1. 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?

2. 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.``

1. 7 = 3 + a

2. § g = - 4

``61-§/4``

1. 4d

2. 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
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.``````

1. 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?

2. 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?

3. 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.

4. 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