Download Unit 2 Review Classwork 11/4

Algebra 1 Unit 2 Test Review
Name________________________________Block____________Date______________
Part 1: Vocabulary – Match each type of equation with the proper vocabulary
word by writing the correct letter in the blank.
_______1. F 
9
5C  32
A. Ratio
_______2. 4( x  3)  4 x  12
_______3. If
B. Cross products
9 12
 , then 4x  36
6 x
C. Infinite Solutions Equation
_______4. A scale on a map is 2cm to 25 km
D. No Real Solution Equation
_______5.
9 152

6
x
E. Proportion
_______6.
5x + 7 = 5x + 3
F. Formula
Part 2: Solving Equations – Solve the following equations. You must show all
your work if you wish to receive partial credit!
7.
10.
3
y  27
4
9(n  3)  7 n  3
8.
3x 1  16
11.
9.
3( x  5)  6  3 x  9
x  3 10

5  x 14
Algebra 1 Unit 2 Test Review
12.
6  3  5( y  2)
14.
17( x  4)  5  4 x  51
13.
3x  2( x  3)  x
15.
4 x 1
 x
5
5
Part 3: Literal Equations – Solve for the given variable.
16. Solve for h: A = ½ bh
17. Solve for x: y = mx + b
Part 4: Percent Problems – Solve the following by setting up a proportion.
18.
What is 45% of 96?
19.
14 is what percent of 70?
Algebra 1 Unit 2 Test Review
Part 5: Word Problems – Solve the following word problems by setting up an
equation or a proportion and solving it.
20. A cable TV company charges $41.99 per month for basic service, plus $8.99 for
each pay-per-view movie. How many movies were purchased if a total monthly bill was
$95.93?
21. You need to by a new computer for your business. You must make a $100 down
payment and the rest is to be paid off in 12 equal payments. If the total cost of the
computer is $1600, how much will each of your payments be?
22. A photograph is 5 in. wide and 7 in. long. A yearbook editor has the photo reduced
to fill a space 2 in. wide. How long is the reduced photograph?
23. On a map, 1 inch represents 10 miles. If it is 4.75 inches from city A to city B on the
map, how far away are the cities in real life?
Algebra 1 Unit 2 Test Review
Part 6: Properties – The steps for solving the following equation are shown.
Justify each step by naming a property, method, or axiom of equality listed in
the word bank below. Not all choices will be used.
2 y  18  12  6( y  7)
2 y  18  12  6 y  42
2 y  18  6 y  12  42
2 y  18  6 y  30
-2y
-2y
A. ____________________________
B. ____________________________
C. ____________________________
D. ____________________________
18  8 y  30
+30
+30
48 8 y

8 8
E. _____________________________
F. _____________________________
6  y
G. _____________________________
y  6
Word Bank
Addition Property of Equality
Multiplication Property of Equality
Commutative Property
Distributive Property
Combining Like Terms
Subtraction Property of Equality
Division Property of Equality
Associative Property
Substitution Property of Equality
Symmetric Property of Equality