Bluebook SAT Test Linear Equations and Systems 3

Question 1

If 6x − 4 = 2x + 12, what is x?

Accepted Answer

4

Answer

6x − 2x = 12 + 4 → 4x = 16 → x = 4.

Question 2

Which ordered pair satisfies both equations: x + y = 6 and 2x − y = 3?

Accepted Answer

(3, 3)

Answer

Add equations: 3x = 9 → x = 3. Then y = 6 − 3 = 3. Solution: (3, 3).

Question 3

A plumber charges $50 for a house visit plus $40 per hour. If the total bill is $210, how many hours did the plumber work?

Accepted Answer

4

Answer

50 + 40h = 210 → 40h = 160 → h = 4.

Question 4

What is the y-intercept of the line 5x + 2y = 10?

Accepted Answer

5

Answer

Set x = 0: 2y = 10 → y = 5. The y-intercept is 5.

Question 5

If 2/3 x = 8, what is x?

Accepted Answer

12

Answer

Multiply both sides by 3/2: x = 8 × (3/2) = 12.

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