Review for Algebra Test Unit I
For questions #1 – 8, solve for the indicated variable.
1) 8 – 7x = 38
3) 12 –
2)
X=
x = – 16
x = 48
8x – 12 = 5x + 7
5)
6)
+ 4 =
x= 4
7)
x = – 60
X=
4) 5(2x – 8) = 3(8 – 2x)
= 24
8)
x = – 18
x=
For Questions 9 – 12, add or subtract the given quantities.
9) ( 8x – 3y + 5) + ( 2x + 7y – 9)
10) (7 – 8x) + ( 9x + 2)
10x + 4y – 4
x+9
11) ( 4x – 3y + 7) – (5x – 2y + 3) + ( 8x – 6y – 1)
7x – 7y + 3
12) (5x – 4) – (7 – 2x) – (8x + 3)
– x – 14
For questions 13 – 16, solve for the indicated variable.
13) 3x – 7y = 12 ; solve for y
Y=
14) 6x – 3y = 18; solve for x
–
15)
x =
16)
d = s( h – 5) or d = sh – 5s
17)
m=
w=
Be able to turn a description of a formula into an equation: For example
18) To calculate the gas mileage (m) that a car gets, Find the difference of the current Odometer Reading
(C) and the Previous Odometer Reading (P) and divide by the number of gallons used (g). Write an
equation to describe this situation, use the variable given in the story.
m =
B) Now solve the equation for P.
P = C – mg
or P = – mg + C
19) To calculate the hourly pay rate (r) of a worker at McDonald’s, calculate the quotient of the pay
Earned (E) and the hours worked (H).
r=
B) Solve the equation for H.
H=
For questions # 20 – 22, translate each sentence into an algebraic equation and solve.
20) Twelve less than a number doubled is forty. What is the number?
2x – 12 = 40
; x = 26
21) The difference of five and a number tripled is fifty. What is the number?
5 – 3x = 50
; x = – 15
22) Five less than the quotient of the quantity of two less than a number tripled and four is negative 1.
What is the number?
– 5 = –1 ; x = 6