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Solving Multistep Equation

Total questions: 21

Worksheet time: 21mins

Name
Class
Date
1.

96=6(k+8)96=6\left(k+8\right)  

a)

1212  

b)

88  

c)

−4-4  

d)

99  

2.

Solve the equation.

a)

x = 21

b)

x = 27

c)

x = 36

d)

x = 2.25

3.

Solve for n:

4n - 1 = 6n + 8 - 8n + 15

(a)  

4.

2(m + 10) = 4(m - 15)

(a)  

5.

Does the equation have one, none, or infinitely many solutions?

12x - 8 = 12x - 9 - 1

SHOW YOUR WORK ON PAPER!!

a)

infinitely many solutions

b)

no solution

c)

one

6.

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

(a)  

7.

Six friends all use $2-off coupons to buy themselves movie tickets. They spend a total of $42. What is the price of one movie ticket without the coupon?

a)

$5

b)

$7

c)

$9

d)

$11

8.
4x+9=-2x-15
a)
x=-4
b)
x=-24
c)
x=-6
d)
x=1
9.

Solve the equation. 
x+6=15x+6=15  
Just type the number.  x = (a)  

10.
3a + 9 + 4a = 2
a)
-1
b)
1
c)
no solution
d)
-7
11.

3x+2=2+3x

a)

One Solution

b)

No Solution

c)

Infinitely Many

12.

10+3x=5(x-2)

a)

One Solution

b)

No Solution

c)

Infinitely Many

13.

-6+3x-(-8x)=12x+(-3)-5x

a)

One Solution

b)

No Solution

c)

Infinitely Many

14.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
15.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
16.
What is the definition of no solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
17.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
18.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
19.

Determine the type of solution you will have if you get

X=0

a)

one solution

b)

infinitely many solutions

c)

no solution

d)

I don't know. I need to study.

20.

Let's review: Match the following solutions with the appropriate equation.

a)

no solution

1.

3x - 3=3x + 4

b)

one solution

2.

-4x+12 = 4x + 4

c)

infinitely many solutions

3.

-2x-7 = -7-2x

d)

no solutions

4.

11 = 6

e)

one solution

5.

x=3

21.

Temperature check:

a)

I understand today's lesson and can teach it.

b)

I understand today's lesson, but need more practice

c)

I think I am getting it, but need additional instruction

d)

I don't understand most of today's lesson.