Bluebook SAT Test Linear Equations in One Variable 2

Question 1

Solve for x: 7x − 4 = 3x + 12

Accepted Answer

x = 4

Answer

Subtract 3x: 4x − 4 = 12; add 4: 4x = 16; x = 4.

Question 2

A car rental costs $20 per day plus $0.15 per mile. Jake paid $47 for a one-day rental. How many miles did he drive?

Accepted Answer

180 miles

Answer

20 + 0.15m = 47 → 0.15m = 27 → m = 180.

Question 3

If 3(2x − 1) = 21, what is the value of x?

Accepted Answer

x = 4

Answer

Divide by 3: 2x − 1 = 7; add 1: 2x = 8; x = 4.

Question 4

Solve for t: (3t + 6)/3 = 8

Accepted Answer

t = 6

Answer

Multiply both sides by 3: 3t + 6 = 24; subtract 6: 3t = 18; t = 6.

Question 5

The sum of two consecutive integers is 47. What is the smaller integer?

Accepted Answer

23

Answer

n + (n+1) = 47 → 2n = 46 → n = 23.

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