Bluebook SAT Test Linear Equations in One Variable 3

Question 1

If 5x + 3 = 28, what is the value of 2x?

Accepted Answer

10

Answer

5x = 25 → x = 5; so 2x = 10.

Question 2

Solve for y: 8 − 2y = 3y − 7

Accepted Answer

y = 3

Answer

Add 2y: 8 = 5y − 7; add 7: 15 = 5y; y = 3.

Question 3

A phone plan charges $0.10 per text. Lena received a bill of $12.50 for texts only. How many texts did she send?

Accepted Answer

125

Answer

0.10t = 12.50 → t = 125.

Question 4

Solve for x: 2x/5 = 8

Accepted Answer

x = 20

Answer

Multiply both sides by 5: 2x = 40; divide by 2: x = 20.

Question 5

If 6(x − 3) = 2(x + 5), what is the value of x?

Accepted Answer

x = 7

Answer

Expand: 6x − 18 = 2x + 10; subtract 2x: 4x − 18 = 10; add 18: 4x = 28; x = 7.

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