Homework 1.1

1. Solve the equation.  5x−3=12x+11

The solution set is { __ }

2. Solve the equation.

$\frac{4}{6}x – 2x + \frac{8}{3}=\frac{4}{3}$

3  Solve the equation.

$4x+8–2\left(x+1\right)=6x+9$

The solution set is

4. Solve the equation.

$4\left[6–\left(–5x–5\right)\right] = 140x+164$

The solution set is

5.   Find the solution set. Then indicate whether the equation is​ conditional, an​ identity, or a contradiction.  16(x−1)=−4(4−x)+12x

Select the correct choice below and fill in any answer boxes present in your choice.

1. The solution set is ___
2. The solution is the set of all real numbers.
3. The solution is the empty set.

Indicate whether the equation is​ conditional, an​ identity, or a contradiction.  Choose the correct answer.

1. contradiction
2. identity
3. conditional equation

6. Solve.  d=nzx, for x

The solution is x =

7.   Solve the formula for the indicated variable.  P=c+b+4a, for c

c=

8.   Solve the following formula for the specified variable.

$A=\frac{1}{4}h\left(q+k\right) for q$

q=

9.  Solve the given formula for the indicated variable. Assume that the denominator is not 0 if variables appear in the denominator

S=2Lw+2wh+5​hL, for h

h=

10.  Solve the equation for x.

$\frac{x}{a–3}=ax+6$

x=

11.  Solve the equation for x.

$5x=\left(3x–2\right)\left(m+4\right)$

x =

12.   Convert from Fahrenheit​ (F) to Celsius​ (C). Use the conversion formula

A city recorded a temperature of 93° F. Convert the temperature to Celsius.

13.   Watch the video and then solve the problem given below.  Click here to watch the video.  Find the solution set. Then indicate whether the equation is​ conditional, an​ identity, or a contradiction.

$6\left(x–1\right)=3\left(2–x\right)+3x$

Select the correct choice below and fill in any answer boxes present in your choice.

1. The solution set is
2. The solution is the set of all real numbers.
3. The solution is the empty set.

Indicate whether the equation is​ conditional, an​ identity, or a contradiction.  Choose the correct answer.

1. conditional equation
2. contradiction
3. identity