Question 1

Which of the following is the solution to the linear equation $2x - 5 = 9$?

Accepted Answer

$x = 7$

Question 2

A quadratic equation is given by $x^2 - 6x + 8 = 0$. What are its solutions?

Accepted Answer

$x = 2$ and $x = 4$

Question 3

Which of the following is a rational equation?

Accepted Answer

$\frac{2x+1}{x-3} = 5$

Question 4

Solve the system of equations: $\begin{cases} 2x + y = 7 \ x - y = 1 \end{cases}$

Accepted Answer

$x = 2, y = 3$

Question 5

Which of the following is the correct quadratic formula for solving $ax^2 + bx + c = 0$?

Accepted Answer

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Question 6

A mixture contains 30 liters of a solution that is 40% acid. How many liters of pure acid must be added to make the solution 50% acid?

Accepted Answer

$10$

Question 7

Which of the following equations represents a motion problem where an object travels at a constant speed $v$ for time $t$?

Accepted Answer

$d = vt$

Question 8

Solve for $x$: $\sqrt{x+5} = 4$

Accepted Answer

$x = 9$

Question 9

Which of the following is a polynomial equation of degree 3?

Accepted Answer

$x^3 - 2x^2 + x - 5 = 0$

Question 10

If $x^2 + 4x + 4 = 0$, what is the solution set?

Accepted Answer

$x = -2$ (double root)

Question 11

Which of the following best describes a system of equations with no solution?

Accepted Answer

The lines are parallel and have different y-intercepts.

Question 12

Given the equation $\frac{3}{x} + 2 = 5$, what is the value of $x$?

Question 13

Which of the following is the correct formula for simple interest?

Accepted Answer

$I = Prt$

Question 14

If $x^2 - 5x + 6 = 0$, what are the solutions?

Accepted Answer

$x = 2$ and $x = 3$

Question 15

A system of equations is given by $\begin{cases} x + y = 5 \ x - y = 1 \end{cases}$. What is the value of $x$?

Accepted Answer

$x = 3$

Question 16

Which of the following is a radical equation?

Accepted Answer

$\sqrt{x+2} = 5$

Question 17

If $x^3 - 8 = 0$, what is the real solution?

Accepted Answer

$x = 2$

Question 18

Which of the following best describes the discriminant of a quadratic equation $ax^2 + bx + c = 0$?

Accepted Answer

$b^2 - 4ac$

Question 19

A chemist needs to mix a 20% saline solution with a 50% saline solution to obtain 10 liters of a 30% solution. How many liters of the 20% solution should be used?

Accepted Answer

$6.67$

Question 20

Which of the following is the correct solution to $2(x-3) = x + 4$?

Accepted Answer

$x = 10$

Test 1 Review: Linear, Quadratic, and Miscellaneous Equations in Precalculus

Study Guide - Practice Questions

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