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Algebra 2 Section 1.4 Solving Equations

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

Solve for x:

 −6x+23+2x=15-6x+23+2x=15  

a)

 x=2x=2  

b)

 x=3x=3  

c)

 x=4x=4  

d)

 x=5x=5  

2.

Solve for x:

 −4(2x+6)−12=4-4\left(2x+6\right)-12=4  

a)

 x=−5x=-5  

b)

 x=5x=5  

c)

 x=−2x=-2  

d)

 x=2x=2  

3.

Solve for y:

 2(y−4)=−4(y+8)2\left(y-4\right)=-4\left(y+8\right)  

a)

 y=4y=4  

b)

 y=−4y=-4  

c)

No Solution

d)

Infinitely Many Solutions

4.

Solve for x:

 5(1+x)=5x+55\left(1+x\right)=5x+5  

a)

 x=1x=1  

b)

 x=0x=0  

c)

No Solution

d)

Infinitely Many Solutions

5.

Solve for n:

 3(n+4)=12(6n+4)3\left(n+4\right)=\frac{1}{2}\left(6n+4\right)  

a)

 n=1n=1  

b)

 n=−1n=-1  

c)

No Solution

d)

Infinitely Many Solutions

6.

Solve for n:

 3n−3=4n+13n-3=4n+1  

a)

 n=−4n=-4  

b)

 n=12n=\frac{1}{2}  

c)

No Solution

d)

Infinitely Many Solutions

7.

For what value of c does the equation have infinitely many solutions?

 3x+7=3x+c3x+7=3x+c  

a)

7

b)

3

c)

0

d)

6

8.

Solve for x:

 23(3x+9)=−2(2x+6)\frac{2}{3}\left(3x+9\right)=-2\left(2x+6\right)  

a)

 x=−3x=-3  

b)

 x=32x=\frac{3}{2}  

c)

 x=1.7x=1.7  

d)

 x=−13x=-\frac{1}{3}  

9.

Solve for x:

 6x−x=56(6x−10)6x-x=\frac{5}{6}\left(6x-10\right)  

a)

No Solution

b)

Infinitely Many Solutions

c)

 x=5x=5  

d)

 x=6x=6  

10.

Solve. 4x + 7 = 3

a)

-1

b)

1

c)

2.5

d)

2.5