Download Quiz – Solving Equations

Name: ____________________
Date: _______________
Unit 3 Review Packet
(Spi.3.5 – all problems)
Use the provided equations to solve for the variables listed below. Show all work for credit, using the methods that we have
covered in class.
1. Solve for d:
d e
 f
c
Answer: _________________________
2. Solve for x:
3  x  12
Answer: _________________________
3. Make a numbered list of all the things being done to f in the following equation. Write your answer in the space below.
x

d  vrh  kf   e   upg
y

_____ 4. Which of the following values of w would make the equation 3(4  w)  21 true?
A. w = -4.5
B. w = -3
C. w = 3
D. w = 4.5

Name: ____________________
Date: _______________
ef  a
 t for the variable f. On which line does he make a mistake?
_____ 5. (a) Carlos is solving the equation
x
ef  a 
 t x
 x 

B. a  ef  a  (tx)  (a)
A. x

C.

1
1
ef   tx  (a)
e
e
D. f 

tx  (a)
e
(b) Show how Carlos’s problem should have been solved and write your answer in the answer blank.

Answer: _________________________
_____ 6. Of which equations would a = -4 be a solution?
I. 3a  5  5a  3
II. 2(a  3)  2
III. 4a  6  5a  2

A.
B.
C.
D.
E.
I only
II only
III only
I and II only
I, II, and III


7. Describe how inverses are important in solving equations. You may use an example to help with your answer, but be sure
to use sophisticated mathematical vocabulary in your response.
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
__________________________________________________________________________________________________
Name: ____________________
Date: _______________
8. Explain why 8x – 6 + 7 = 5x + 3x + 1 has an infinite number of solutions (“all real numbers”).
9. Which of the following equations has no solution?
I. 6(4 z  2)  3(8 z  4)
II.  8t  3t  2  5t  6t
III. 4x  1  13
A.
B.
C.
D.
E.
I only
II only
III only
I and II only
I, II, and III
10. Temperature in America is typically measured in Fahrenheit, but most other countries use Celsius. To convert
temperature from Celsius to Fahrenheit, you can use the formula
9
C  32  F , where C is degrees in Celsius and F is
5
degrees in Fahrenheit.
a) Solve the formula for C.
b) A science experiment is performed where a boiling liquid is measured at 45 C. Convert this into degrees
Fahrenheit.
11. Solve for n:  32  7n  12  3n
A.
B.
C.
D.
-5
5
6
9
12. Solve for n: 5x  2x  3  3x  10x
A.
B.
C.
D.
17/-6
14
21
No solution
Name: ____________________
13. Solve for p: 3 p  1  5( p  1)  2(7  2 p)
A.
B.
C.
D.
Date: _______________
-10
-9
0
3
14. Sally takes the additive inverse of a number, then takes the multiplicative inverse of the new number, which results in -4.
What was the original number?
Answer : ____________________
15. After simplifying av(r  t  w) , what will be the final coefficient of w?
Answer : ____________________
Solve for x in the equations listed below.
16.
wx  k
17. r  x  h
Answer: ____________________
Answer: ____________________
x
z
y
18.
19. ab  x  c
Answer: ____________________
Answer: ____________________
a
(c  x)  d
20. b
21.
Answer: ____________________
Answer: ____________________
22. 2x  4  5x  5
23.  2(3 x  4)  29
Answer: ____________________
Answer: ____________________
x
mn
y