Bluebook SAT Test Linear Equations in One Variable 8

Question 1

Solve for x: 4x + 1 = 2x + 9

Accepted Answer

x = 4

Answer

Subtract 2x: 2x + 1 = 9; subtract 1: 2x = 8; x = 4.

Question 2

A scientist starts with 200 mL of solution and adds x mL of water, reaching 350 mL total. What is x?

Accepted Answer

x = 150

Answer

200 + x = 350 → x = 150.

Question 3

If 7(x − 2) = 2(x + 8), what is the value of x?

Accepted Answer

x = 6

Answer

Expand: 7x − 14 = 2x + 16; 5x = 30; x = 6.

Question 4

The equations 2x + m = 14 and 3x − m = 6 are both true. What is the value of x?

Accepted Answer

x = 4

Answer

Add the equations: 5x = 20 → x = 4.

Question 5

Solve for x: 1.5x − 3 = 0.5x + 5

Accepted Answer

x = 8

Answer

Subtract 0.5x: x − 3 = 5; add 3: x = 8.

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