Bluebook SAT Test Linear Equations in One Variable 7

Question 1

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

Accepted Answer

x = 16

Answer

Expand: 2x + 10 = 3x − 6; subtract 2x: 10 = x − 6; x = 16.

Question 2

A taxi charges $2.50 plus $1.80 per mile. The total fare was $11.50. How many miles did the passenger travel?

Accepted Answer

5 miles

Answer

2.50 + 1.80m = 11.50 → 1.80m = 9 → m = 5.

Question 3

For the equation ax + 6 = 18 to have the solution x = 4, what must a equal?

Accepted Answer

a = 3

Answer

4a + 6 = 18 → 4a = 12 → a = 3.

Question 4

Solve for x: (2x − 3)/5 = 3

Accepted Answer

x = 9

Answer

Multiply both sides by 5: 2x − 3 = 15; add 3: 2x = 18; x = 9.

Question 5

Marcus earns $15 per hour and has already earned $120 this week. How many more hours must he work to earn at least $195 total?

Accepted Answer

5 hours

Answer

Additional needed: (195 − 120)/15 = 75/15 = 5 hours.

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