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Solving Linear Equations

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

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Solving Linear Equations

Linear Equations • SAT Math

Set 1 — Foundation

1.

Solve for x: $2x + 3 = 11$

A.

4

B.

5

C.

8

D.

7

2.

If $3x + 4 = 19$ , what is the value of $x$ ?

A.

5

B.

6

C.

4

D.

3

3.

What is the value of x in $5x - 7 = 3$ ?

A.

2

B.

3

C.

4

D.

5

4.

A solution of $NaCl$ is prepared by dissolving $58.44 g$ of $NaCl$ in $0.5 L$ of water. If the concentration is defined as $C = \frac{n}{V}$ , where is the number of moles and is the volume in liters, what is the concentration in mol/L?

5.

If $3x + 4 = 19$ , what is the value of x?

A.

5

B.

6

C.

7

D.

8

6.

If $2y - 3 = 5y + 6$ , what is the value of $y$ ?

A.

$-3$

7.

Find x in the equation $7x = 42$ .

A.

5

B.

6

C.

7

D.

8

8.

A chemist needs to prepare a solution with a pH of 4.0. If the concentration of $H^{+}$ ions is given by $[H^{+}] = 10^{-pH}$ , what is the concentration of ions in mol/L?

16.

A compound $C_{6}H_{12}O_{6}$ consists of carbon atoms. If the total mass is , what is the mass of one carbon atom, given that the molar mass of carbon is ?

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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

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

C = \frac{n}{V}

n

V

A.

$1.0$

B.

$2.0$

C.

$0.5$

D.

$0.1$

3

B.

$3$

C.

$-5$

D.

$5$

−pH

H^{+}

A.

$0.001$

B.

$0.1$

C.

$0.01$

D.

$0.0001$

9.

In a reaction, $2H_{2} + O_{2} \rightarrow 2H_{2}O$ . If $4 moles$ of $H_{2}$ react completely, how many moles of $O_{2}$ are needed?

A.

$2$

B.

$1$

C.

$0.5$

D.

$3$

10.

Solve for x: $x/4 - 2 = 1$

A.

12

B.

16

C.

20

D.

24

11.

Solve for $z$ : $5(z + 2) = 3z + 18$ .

A.

$8$

B.

$6$

C.

$2$

D.

$4$

12.

What is x in the equation $2(x + 3) = 14$ ?

A.

4

B.

5

C.

6

D.

7

13.

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

A.

$12$

B.

$6$

C.

$9$

D.

$2$

14.

If $8x - 5 = 3$ , what is the solution for x?

A.

1

B.

2

C.

3

D.

4

15.

Solve for y: $y - 9 = 6$

A.

12

B.

15

C.

18

D.

21

6

6

180 g

12 g/mol

A.

$12$

B.

$30$

C.

$6$

D.

$10$

17.

What is the solution to $10 - 2x = 4$ ?

A.

3

B.

4

C.

5

D.

6

18.

If $3p - 4 = 2(p + 1)$ , what is the value of $p$ ?

A.

$3$

B.

$2$

C.

$1$

D.

$4$

19.

Find x in $4x + 8 = 24$ .

A.

4

B.

5

C.

6

D.

7

20.

A solution of $HCl$ is prepared by dissolving $36.5 g$ of $HCl$ in $1 L$ of water. What is the concentration in mol/L, given that the molar mass of $HCl$ is $36.5 g/mol$ ?

A.

$1.0$

B.

$0.5$

C.

$2.0$

D.

$0.1$