Algebra 1 Unit 4 Review

Vocab

100

A number, a letter, or a combination of both...these are the building blocks of expressions and equations

terms

200

The number directly in front of a variable (through multiplication)

the coefficient

300

A number in an expression or equation that doesn't have a variable attached to it

a constant

400

Something you can simplify, but can't solve

an expression

500

When two equations are written differently but are technically the same, they are called __________ equations.

equivalent

Multi-step Equations

100

2p + 1 = 21

p = 10

200

7p - 9 = -30

p = -3

300

2(x + 1) = 18

x = 8

400

6(t - 3) = -60

t = -7

500

5y + 5(y - 3) = -63

y = -24/5 or -4.8

Variables on Both Sides

100

2x = x + 5

x = 5

200

x + 1 = 3x - 5

x = 3

300

2(3c - 8) = -8c - 2

c = 1

400

-2(-7a + 4) = 5(a - 16)

a = -8

500

-3(d - 1) = 5d + 3

d = 0

Word Problems

100

Area of a rectangle is length x width.

A rectangle has a length of 5 and a width of 2x+3.  

What is it's algebraeic area (after distributing)?

10x + 15

200

A triangle has side lengths of 3x, 2x+1, and 9.  It has a perimeter of 30.  Find x.

x = 4

300

A clown charges a $40 appearance fee along with $17 per hour for a birthday party.  If the total bill was $91, how long was the party?

3 hours

400

Joe's Plumbing charges a $90 trip fee as well as $75 per hour of work.  Bill's Plumbing only charges a $30 trip fee but $95 per hour for labor.  

How long would the job have to be for the cost to be the same?

3 hours

500

The equation B = 5c + 3 is used to calculate the total bill (B) for a certain number of drinks (c) at Starbucks.  If the total bill is $38, how many drinks were ordered?  

7 drinks

Evaluating

100

For x=3;    5x+1

16

200

For x=6;   5 - 2x + 3 

-4

300

For x= -1;  

 0.56g - (3.19g + 4) 

-1.37

400

For x=3;   (6 + 2x) / (-0.3x - 4)

round to nearest tenth

-2.4

500

For x= -2;  3x² - 4x

20