SAT Math · Topic practice · SAT Math · Unit 1

Algebra

A mixed exercise set, like a textbook: every problem type this unit covers, shuffled together and getting harder as you go. Work on paper, reveal to check — and hit on any problem for the same kind with new numbers (252 in the pool).

Practice set — quiz with instant feedback and retries.Review the lessons for this unit first.

Exercises

14 of 252 shown

If $2(x + 5) = x + 4$ , what is the value of $x$ ?

A plumber charges $C(x) = 25x + 20$ dollars for a job that takes $x$ hours. What is the best interpretation of the number $25$ in this context?

The system $2x + 3y = -17$ and $x - y = -1$ has solution $(x,\ y)$ . What is the value of $x$ ?

A line in the $xy$ -plane passes through the points $(-4,\ 11)$ and $(0,\ -5)$ . What is the slope of the line?

If $-7 - 2x > 1$ , what is the greatest integer value of $x$ ?

For what value of $k$ does the system $2x + 1y = 5$ and $kx + 2y = 13$ have no solution?

The function $f$ is linear, $f(-2) = -5$ , and $f(0) = -11$ . What is the value of $f(2)$ ?

If $2(x + 4) = 3x + 5$ , what is the value of $x$ ?

A plumber charges $C(x) = 45x + 50$ dollars for a job that takes $x$ hours. What is the best interpretation of the number $45$ in this context?

10.

The system $2x + 3y = 5$ and $x - y = -5$ has solution $(x,\ y)$ . What is the value of $x$ ?

11.

A line in the $xy$ -plane passes through the points $(1,\ -5)$ and $(4,\ -17)$ . What is the slope of the line?

12.

If $8 - 2x > 4$ , what is the greatest integer value of $x$ ?

13.

For what value of $k$ does the system $2x + 1y = 7$ and $kx + 5y = 38$ have no solution?

14.

The function $f$ is linear, $f(-1) = 4$ , and $f(1) = -2$ . What is the value of $f(3)$ ?