Free Printable Unit 2 Quiz Review

1.

What is the first step in solving the equation $2\left(3x-4\right)=3x+1$

a)

Distribute

b)

Subtract 3x from both sides

c)

Add 4 to both sides

d)

Combine Like Terms

2.

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
$3x\ +15\ =\ 3\left(x+5\right)$

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

3.

Solve the equation:
$12.5\ -\ 4g\ =\ -2g\ -\ 3.5$

a)

g = -8

b)

g = 8

c)

g = 10

d)

g = 1.25

4.

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
$8n\ -\ 2\left(n+5\right)=-3\ +\ 6n$

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solution

5.

What is the solution to the following equation? $2\left(-x-4\right)=4x\ +16$

a)

-4

b)

3

c)

-3

d)

4

6.

A student was solving the equation $8x\ +\ 4\ -6x\ +10=24$

Their work is below:
Step 1: 2x + 14 =24
Step 2: 2x = 38
Step 3: x = 19

What is their error?

a)

They combined like terms incorrectly

b)

They added 14 to both sides instead of subtracting

c)

They divided incorrectly

d)

There were no errors made

7.

Find the Error: What error did the student make below?

\frac{1}{5}x\ +6=\frac{3}{5}x\ +5

Step 1:

1x\ +6\ =\ 3x\ +5

Step 2:

-2x\ +\ 6\ =5

Step 3:

-2x\ =\ -1

Step 4:

x\ =\ \frac{1}{2}

a)

The student found an incorrect common denominator

b)

The student did not multiply all terms by the common demoniator

c)

The student did not use opposite operations correctly

d)

The student did not correctly eliminate the variable from one side of the equation

8.

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
$3x\ -8=3\left(x-4\right)+4$

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solution

9.

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.
$-2\left(-4x+7\right)=-2+4x$

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

10.

Solve the equation:
$\frac{1}{4}-\frac{1}{2}r=-\frac{3}{4}r$

a)

r = 1

b)

r = 0

c)

r = -1

d)

r = 10

11.

Simplify the equation to determine if the equation has one, none, or infinitely many solutions.

$5x\ +\ 6\ =\ 2+3x$

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solution

12.

$-5\ +\ 3x\ -7\ =\ 3\left(x-3\right)+2$ Simplify the equation to determine if the equation has one, none, or infinitely many solutions.

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solution

13.

$4\ \left(8n-1\right)=19\ +32n$ Simplify the equation to determine if the equation has one, none, or infinitely many solutions.

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

14.

Fill in the blank so that the following equation has no solution

____x + 12 = 2x -7

a)

4

b)

2

c)

9

d)

7

15.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

16.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

17.

Solve:
V = πr²h , for h

a)

V/(πr²) = h

b)

V - πr² = h

c)

V + πr² = h

d)

V/π = h

18.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

19.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

20.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

Unit 2 Quiz Review - Solving Equations

Total questions: 20

Worksheet time: 48mins

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