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Solving Equations

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

The objective (goal) when solving an equation is to...

a)

Divide both sides

b)

Use BEDMAS

c)

Guess as much as you can

d)

Isolate the variable

2.

What is the inverse operation of division?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

3.

What would be the first step to solving the following equation:

44 = 11  3x44\ =\ 11\ -\ 3x

a)

Subtract 44 from both sides

b)

Add 11 to both sides

c)

Subtract 11 from both sides

d)

Divide by -3

4.

Solve for x :

14x  10 = 414x\ -\ 10\ =\ 4

Type in your answer.

IMPORTANT: First type the small letter x, then an equal sign, then the number. NO SPACES.

(a)  

5.

Solve for x :

16 = 5x  1-16\ =\ -5x\ -\ 1

Type in your answer.

IMPORTANT: First type the small letter x, then an equal sign, then the number. NO SPACES.

(a)  

6.

Solve for x :

x0.8  1.4 = 0.6\frac{x}{0.8}\ -\ 1.4\ =\ 0.6

Type in your answer.

IMPORTANT: First type the small letter x, then an equal sign, then the number. NO SPACES.

(a)  

7.

Solve for x :

9 = x5+7-9\ =\ \frac{x}{5}+7

Type in your answer.

IMPORTANT: First type the small letter x, then an equal sign, then the number. NO SPACES.

(a)  

8.

Solve for x :

2x + 14= 132x\ +\ \frac{1}{4}=\ \frac{1}{3}

a)

×=13\times=\frac{1}{3}

b)

×=212 = 16\times=\frac{2}{12}\ =\ \frac{1}{6}

c)

×=28=14\times=\frac{2}{8}=\frac{1}{4}

d)

×=124\times=\frac{1}{24}

9.

Given the equation:

10 = x4+810\ =\ \frac{x}{4}+8

Does x=8?

Verify by replacing the x in the equation with 8.

a)

YES

b)

NO

10.

Given the equation:

19 = 4x  7-19\ =\ -4x\ -\ 7

Does x=7?

Verify by replacing the x in the equation with 7.

a)

YES

b)

NO

11.

Josie is collecting sea glass from the beach. She starts her collection with 20 pieces and adds 2 new pieces each day. After how many days will Josie have a total of 60 pieces in her collection?

a)

20 days

b)

60 days

c)

140 days

d)

40 days

12.

Ms. Doucette cleared half the trees on her house lot. Then cut down four more trees by the telephone pole wires.

If a total of 174 trees were cut, how many more trees were initially on the house lot?

a)

83 trees

b)

344 trees

c)

340 trees

d)

356 trees