Bluebook SAT Test Linear Equations in One Variable 6

Question 1

If 8x + 3 = 51, what is the value of 4x?

Accepted Answer

24

Answer

8x = 48, so x = 6; 4x = 24.

Question 2

Solve for x: 3x + 4 = x − 10

Accepted Answer

x = −7

Answer

Subtract x: 2x + 4 = −10; subtract 4: 2x = −14; x = −7.

Question 3

Two friends split the cost of a gift equally. Each person paid $23.50. What was the total cost?

Accepted Answer

$47.00

Answer

Total = 2 × 23.50 = $47.00.

Question 4

Solve for n: 4n − 7 = 2(n + 3)

Accepted Answer

n = 6.5

Answer

Expand: 4n − 7 = 2n + 6; subtract 2n: 2n = 13; n = 6.5.

Question 5

The equation 3(x + k) = 18 has the solution x = 3. What is the value of k?

Accepted Answer

k = 3

Answer

3(3 + k) = 18 → 3 + k = 6 → k = 3.

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