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Multi Step Linear Equations

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

  8  5x = 64 + 3x -\ 8\ -\ 5x\ =\ 64\ +\ 3x\   

a)

9

b)

- 9 

c)

36

d)

- 36 

2.

 5 = 10  x 5\ =\ 10\ -\ x\   

a)

5

b)

-5

c)

15

d)

- 15 

3.

 9(x  4)  7x = 5(3x  2)9\left(x\ -\ 4\right)\ -\ 7x\ =\ 5\left(3x\ -\ 2\right)  

a)

2

b)

-2 

c)

13

d)

- 13 

4.

 (34)x = 18 \left(\frac{3}{4}\right)x\ =\ 18\   

a)

12

b)

- 12 

c)

24 

d)

- 24

5.

 68 = 15(20x + 50) + 2 68\ =\ \frac{1}{5}\left(20x\ +\ 50\right)\ +\ 2\   

a)

14

b)

-14

c)

3

d)

- 3 

6.

 3x + 9 = 2 + 3x 3x\ +\ 9\ =\ 2\ +\ 3x\   

a)

7

b)

- 7 

c)

no solution 

d)

all real numbers 

7.

 16x + 16 = 4(4x + 4)16x\ +\ 16\ =\ 4\left(4x\ +\ 4\right)  

a)

b)

16

c)

no solution 

d)

all real numbers 

8.

A(n) ___________________ is a statement that two expressions are equal.

a)

expression

b)

equation

c)

solution

d)

property

9.

A(n) ____________________ is the value that make an equation true.

a)

expression

b)

equation

c)

solution

d)

property

10.

___________________ operations are two operations that undo each other, such as addition and subtraction.

a)

inverse

b)

similar

c)

rhetorical

d)

property

11.

 50h = 190  45h 50h\ =\ 190\ -\ 45h\   


You and your friend are driving towards each other. The equation given represents the number of hours until you meet. When will you meet?

a)

38 hours 

b)

2 hours 

c)

no solution 

12.

Movie streaming for Company A costs $1.50 per movie plus a $15 sign up fee. Company B is free to sign up but each movie costs $2.25. How many movies does it take to spend the same amount with each Company?

a)

18 movies

b)

19 movies

c)

20 movies

d)

they will never be the same amount

13.

 a(2x + 3) = 9x + 15 + x a\left(2x\ +\ 3\right)\ =\ 9x\ +\ 15\ +\ x\   


For what value of a is the given equation an identity?

a)

5

b)

- 5 

c)

no solution 

d)

9

14.

Eating one serving of granola provides 4% of the protein our bodies need daily. You must get the remaining 48 grams from other sources. How many grams of protein is needed daily?

a)

50 grams

b)

75 grams

c)

125 grams

d)

1.92 grams