Bluebook SAT Test Linear Equations in One Variable 1

Question 1

If 3x − 7 = 14, what is the value of x?

Accepted Answer

7

Answer

Add 7 to both sides: 3x = 21; divide by 3: x = 7.

Question 2

A store sells notebooks for $4 each. Maya buys several notebooks and pays $28 total. How many notebooks did she buy?

Accepted Answer

7

Answer

4n = 28 → n = 7.

Question 3

Solve for x: 5(x + 2) = 35

Accepted Answer

x = 5

Answer

Divide both sides by 5: x + 2 = 7; subtract 2: x = 5.

Question 4

If 2x + 9 = 4x − 3, what is the value of x?

Accepted Answer

x = 6

Answer

Subtract 2x: 9 = 2x − 3; add 3: 12 = 2x; x = 6.

Question 5

A plumber charges a $45 flat fee plus $30 per hour. A customer's bill was $165. How many hours did the plumber work?

Accepted Answer

4 hours

Answer

45 + 30h = 165 → 30h = 120 → h = 4.

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