Bluebook SAT Test Linear Equations in One Variable 5

Question 1

Solve for x: 2(3x − 4) = 4x + 6

Accepted Answer

x = 7

Answer

Expand: 6x − 8 = 4x + 6; subtract 4x: 2x = 14; x = 7.

Question 2

A number is 3 more than twice another number. The sum of the two numbers is 21. What is the larger number?

Accepted Answer

15

Answer

Let n = smaller; larger = 2n + 3. Then 3n + 3 = 21 → n = 6; larger = 15.

Question 3

If 5x − 2 = 3x + 10, what is the value of x + 1?

Accepted Answer

7

Answer

2x = 12 → x = 6; x + 1 = 7.

Question 4

The perimeter of a rectangle is 38 cm. The length is 5 cm more than the width. What is the width?

Accepted Answer

7 cm

Answer

2(w + w + 5) = 38 → 2(2w + 5) = 38 → 4w + 10 = 38 → 4w = 28 → w = 7.

Question 5

Solve for x: 10 − (2x + 3) = 1

Accepted Answer

x = 3

Answer

Distribute the negative: 7 − 2x = 1 → 2x = 6 → x = 3.

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