Chapter 1 Test

1.  Find two consecutive odd integers whose product is 899.

1. 27​, 29 or −29, −27
2. −31, −29
3. 27​, 29
4. 29​, 31 or -29, -31

2.   Match the following equation with its solutions.

$x^2$

=529

3. Solve the following equation using the quadratic formula.

$\left(5x–1\right)\left(2x+4\right)=9x$

The solution set is ______

4.  Solve the inequality. Write the solution set in interval notation.

$9x–4x+6<3\left(x+4\right)$

Write the solution set in interval notation.

5.  Solve the equation.

$\frac{2x–7}{x}=\frac{x–2}{5}$

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1. The solution set is ______  (Simplify your answer. Use a comma to separate answers as​ needed.)
2. The solution is the empty set.

6.  Solve the equation.

$\frac{5}{x^2}–\frac{43}{x}=18$

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1. The solution set is ______   (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as​ needed.)
2. The solution is the empty set.

7.   Solve the equation.

$–4\left(v+3\right)+ 2v+5=7v+9$

The solution set is

8.  Solve the equation.

$\sqrt{7x+106}=3x+26$

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

1. The solution set is ____ ​(Use a comma to separate answers as​ needed.)
2. There is no solution.

9. Solve the equation.

$4{\left(x+7\right)}^4–29{\left(X+7\right)}^2=–25$

The solution set is

10 . Solve the rational inequality. Write each solution set in interval notation.

$\frac{4x–15}{x^2+1}\ge 0$

The solution set in interval notation is _______

11.   One leg of a right triangle has a length of 7m. The other sides have lengths that are consecutive integers. Find these lengths.

The other leg is ____ m.  The length of the hypotenuse is ____ m.

12.  Solve the rational inequality.

$\frac{6}{x+2}\le 3$

What is the solution set?