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Solving Linear Equations

This worksheet covers Solving Linear Equations, which is part of the Linear Equations module in the Middle School Math course. Practice problems are designed to strengthen key concepts and build confidence.

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Solving Linear Equations

Linear Equations • Middle School Math

Set 2 — Foundation

1.

If $2x + 3 = 11$ , what is the value of $x$ ?

A.

1

B.

2

C.

3

D.

4

2.

What is the solution to the equation $5x - 2 = 3$ ?

A.

1

B.

2

C.

3

D.

4

3.

A solution contains $NaCl$ and $H_{2}O$ . If the total mass of the solution is $50g$ and $NaCl$ is , what is the mass of ?

4.

Find x in the equation 3x + 6 = 15.

A.

2

B.

3

C.

4

D.

5

5.

If $3(x - 2) = 12$ , what is the value of $x$ ?

A.

4

B.

6

C.

8

D.

10

6.

Solve for x: 4x - 8 = 0.

A.

2

B.

4

C.

6

D.

8

7.

A chemist has a $10 ext{M}$ solution of $HCl$ . If he wants to dilute it to $2 ext{M}$ , how much water must be added to $1L$ of the solution?

8.

If $5x - 4 = 16$ , what is the value of $x$ ?

A.

2

B.

3

C.

4

D.

5

16.

Find the value of x in the equation 9x - 3 = 24.

A.

3

B.

4

C.

5

D.

6

17.

If $7x - 2 = 5x + 10$ , what is the value of ?

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Other Sets

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Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

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Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

Other Sets

Show answer choices

Set 1Foundation Set 2Foundation Set 3Foundation Set 4Mastery Set 5Mastery Custom Worksheet

N a Cl

20g

H_{2}O

A.

20g

B.

30g

C.

25g

D.

15g

A.

1L

B.

2L

C.

3L

D.

4L

9.

What is the value of x in the equation 7x + 1 = 15?

A.

2

B.

3

C.

4

D.

5

10.

A chemist mixes $x$ grams of $H_{2}O$ with $3x$ grams of $NaCl$ . If the total mixture is $48g$ , what is the value of $x$ ?

A.

6g

B.

8g

C.

10g

D.

12g

11.

If 6x = 30, what is x?

A.

4

B.

5

C.

6

D.

7

12.

If $2(3x + 4) = 24$ , what is the value of $x$ ?

A.

2

B.

3

C.

4

D.

5

13.

Solve for x: 2x - 5 = 9.

A.

5

B.

7

C.

8

D.

9

14.

What is x in the equation 8x + 4 = 36?

A.

3

B.

4

C.

5

D.

6

15.

In a reaction, $x$ moles of $CO_{2}$ react to form $2x$ moles of $C_{6}H_{12}O_{6}$ . If $x = 2$ , how many moles of $C_{6}H_{12}O_{6}$ are produced?

A.

2

B.

4

C.

6

D.

8

10

x

A.

2

B.

4

C.

6

D.

8

18.

Solve for $x: \frac{x}{4} + 2 = 5$ .

A.

6

B.

7

C.

8

D.

9

19.

A certain reaction produces $x$ grams of product for every $4$ grams of reactant. If $20$ grams of reactant are used, how much product is produced?

A.

10g

B.

15g

C.

20g

D.

25g