Bluebook SAT Algebra Practice

Question 1

If 3(x - 4) + 2x = 5x - 7 + k, for what value of k does the equation have infinitely many solutions?

Accepted Answer

-5

Answer

Expanding gives 5x - 12 = 5x - 7 + k, so k = -5.

Question 2

The line y = mx + b passes through the points (2, 7) and (5, 16). What is the value of b?

Accepted Answer

1

Answer

The slope is 3, and substituting (2, 7) gives 7 = 6 + b, so b = 1.

Question 3

A phone plan charges a flat monthly fee plus a fixed rate per gigabyte of data. A customer who uses 4 gigabytes pays $34, and a customer who uses 9 gigabytes pays $54. What is the flat monthly fee, in dollars?

Accepted Answer

18

Answer

Rate is $4/GB, so fee = 34 - 4(4) = 18.

Question 4

Which of the following systems of equations has no solution?

Accepted Answer

3x - y = 5 and 6x - 2y = 9

Answer

Both lines have slope 3 but different intercepts, so they are parallel.

Question 5

If 2/(x + 1) = 5/(3x - 2), what is the value of x?

Accepted Answer

9

Answer

Cross-multiplying gives 6x - 4 = 5x + 5, so x = 9.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Algebra Practice