Bluebook SAT Test Linear Equations in One Variable 4

Question 1

If 9 − x = 4, what is the value of 3x?

Accepted Answer

15

Answer

x = 5; therefore 3x = 15.

Question 2

Solve for x: x/3 + x/6 = 5

Accepted Answer

x = 10

Answer

Common denominator: 2x/6 + x/6 = 3x/6 = x/2 = 5 → x = 10.

Question 3

In the equation 4x + b = 22, if x = 3, what is the value of b?

Accepted Answer

b = 10

Answer

4(3) + b = 22 → 12 + b = 22 → b = 10.

Question 4

Solve for x: 3x − 5 = 2(x + 4)

Accepted Answer

x = 13

Answer

Distribute: 3x − 5 = 2x + 8; subtract 2x: x = 13.

Question 5

A scale displays 135 pounds, but it consistently adds 5 pounds to every reading. What is the person's actual weight?

Accepted Answer

130 pounds

Answer

Actual + 5 = 135 → actual = 130 pounds.

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