wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

PC Solving Equations Review

Total questions: 15

Worksheet time: 56mins

Name
Class
Date
1.

n = (a)  

2.

Look for two answers!

a)

6

b)

9

c)

-6

d)

-9

3.

Solve and check your solution(s). Look out for extraneous solutions!

(a)  

4.

Solve.

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

5.

Solve for x:  2x+2+5x2=6x24\frac{2}{x+2}+\frac{5}{x-2}=\frac{6}{x^2-4}  

a)

7

b)

6

c)

14

d)

0

6.

Solve. (2x - 5)1/3 = 3

(a)  

7.

Solve for x:

(x + 2)1/2 - 5 = -2

(a)  

8.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4 
9.
Solve the equation:
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
10.

Solve: 159=6x3(3x7)-159=6x-3\left(-3x-7\right)  

a)

-14

b)

14

c)

12

d)

-12

11.
3x - x + 4 = 4(2x +1)
a)
no solution
b)
all real numbers (infinite)
c)
x = 6
d)
x = 0
12.

2 sinθ + 3 = 2

a)

π/6,2π/3

b)

7π/6

c)

7π/6, 11π/6

13.
Solve on the domain [0, 2π)
4sin2x = 3
a)
π/6, 11π/6
b)
π/3, 2π/3
c)
π/6, 5π/6, 7π/6, 11π/6
d)
π/3, 2π/3, 4π/3, 5π/3
14.

Solve

2cos2θ -1=0

on the interval [0, 2π)

a)

θ = π /4, 7π /4

b)

θ = π /4, 3π /4

c)

θ = 3π /4, 5π /4

d)

θ = π /4, 3π /4, 5π /4, 7π /4

15.

Why doesn't 2cosx − 3 = 0 have solutions?

a)

cosx is never bigger than one

b)

cosx is never equal to a fraction

c)

Actually, this equation does have a solution, x = π

d)

This equation will have a solution tomorrow.