Download Simplify Algebraic Expressions

Advanced Pre-Algebra 7
Chapter 3 Test Information
Thursday 10-29-15
Simplify Algebraic Expressions
Combining Like Terms
Use the Distributive Property
Solve Equations
1-step
2-step
Multi-step
Variables on both sides
Translating from English to Math
Word Problems
Simplify Algebraic Expressions
4(m + 3) – 6 + m
5(x – 2) – 3
-(4x + 12) + 2(3x + 1)
-3(y + 8) – y
8x + x – 7 – 15x
7x + 3(x – 4) + x
Find the perimeter of each figure
(2x – 1) yd
3 yd
(12 + x) in
3x
Translate from English to Math
1)
The product of 15 and a number is 145
2)
A number divided into 87 amounts to 3
3)
Triple the sum of a number and 2 gives 63
4)
Eighteen less than a number is 50.
6)
Four added to twice a number gives 26
5)
7)
A number subtracted from 102 amounts to 54.
The product of 7 and the sum of 12 and a
number is 161.
8)
Twice eight equals a number squared.
Solve Equations
A)
5 + x = 39
B)
x
5
15
C)
5x  8  23
D)
d
 9  3
4
E)
2p  6 p + 10  220 + 30
F)
2(10 – 1 + 3) + 7 
x
 15
2
G)
I)
–3(y – 4) + 5(2 + y) = 20
7x + 5 = 6x – 20
H)
J)
-41 + 2(5) – 3(8) = 4x + 3(2x + 5)
4x – 3 + 6x = 5x – 3 – 30
Use Equations to Solve Word Problems
Be sure to define the variable “let x =”
Write an equation
Solve the equation
Write an answer sentence.
Out of the 50 states, Hawaii has the least number of roadway miles, followed by
Delaware. If Delaware has 1585 more roadway miles than Hawaii and the total number of
roadway miles for both states is 10,203, find the number of roadway miles for each
state.
In a championship basketball game, Paula Zimmerman made twice as many free throws as
Maria Kaminsky. If the total number of free throws made by both women was 12, find
how many free throws Paula made.