Solving Equations and Inequalities

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

$5.h\left(x\right)=1.1-2x$

$figach$$a{a}^{aa{a}_{xxx}}$

Describe how will you evaluate the expression $a+b\left[\left(c+d\right)÷e\right]$ given values for $a,b,c,d,$ and  $e$

Give an example of an expression where subtraction is performed before division and the symbols $\left(\right),\left[\right],$ or $\left\{\right\}$ are not used.

Determine which expression below represents the amount of change someone would receive from a $\mathrm{\backslash (}50$ bill if they purchased 2 children’s ticket at $\backslash )4.25$ each and 3 adult ticket at $\$7$ each at a movie theatre. Explain.

$\begin{array}{l}\text{a. }50-2\times 4.25+3\times 7\text{ b. }50-\left(2\times 4.25+3\times 7\right)\\ \text{c. }\left(50-2\times 4.25\right)+3\times 7\text{ d. }50-\left(2\times 4.25\right)+\left(3\times 7\right)\end{array}$

Find the value of each expression

4. $8\left(3+6\right)$

Find the value of each expression

$10-8÷2$

Find the value of each expression

6. $14·2-5$

Find the value of each expression

 $\left[9+3\left(5-7\right)\right]÷3$

Find the value of each expression

8. $\left[6-{\left(12-8\right)}^2\right]÷5$

Evaluate each expression if $x=4,y=-2,$ and  $z=6$

10. $z-x+y$

Evaluate each expression if $x=4, y=-2,$ and $z=6$

$x+{\left(y-1\right)}^3$

Evaluate each expression $x=4,y=-2,$ if and $z=6$

$x+\left[3\left(y+z\right)-y\right]$

Use the following information.

Simple interest is calculated using the formula $I=prt$, where $p$ represents the principal in dollars, $r$ represents the annual interest rate, and $t$ represents the time in years. Find the simple interest $I$ given each of the following values.

13. $p=\$1800,r=6\%,t=4years$

Use the following information.

Simple interest is calculated using the formula $I=prt$, where $p$ represents the principal in dollars, $r$ represents the annual interest rate, and $t$ represents the time in years. Find the simple interest $I$ given each of the following values.

 $p=\$5000,r=3.75\%,t=10years$

Use the following information.

Simple interest is calculated using the formula $I=prt$, where p represents the principal in dollars, $r$ represents the annual interest rate, and $t$ represents the time in years. Find the simple interest $I$ given each of the following values.

 $p=\$31,000, r=2\frac{1}{2}\%, t=18 months$

Find the value of each expression

16. $18+6÷3$

Find the value of each expression

$7-20÷5$

Find the value of each expression

18. $3\left(8+3\right)-4$

Find the value of each expression

$\left(6+7\right)2-1$

Find the value of each expression

$2\left(6^2-9\right)$

Find the value of each expression

21. $-2\left(3^2+8\right)$

Find the value of each expression

$2+8\left(5\right)÷2-3$

Find the value of each expression

23. $4+64÷\left(8\times 4\right)÷2$

Find the value of each expression

$\left[38-\left(8-3\right)\right]÷3$

Find the value of each expression

25. $10-\left[5+9\left(4\right)\right]$

Find the value of each expression

$1-\left\{30÷\left[7+3\left(-4\right)\right]\right\}$

Find the value of each expression

$12+\left\{10÷\left[11-3\left(2\right)\right]\right\}$

Find the value of each expression

28. $\frac{1}{3}\left(4-7^2\right)$

Find the value of each expression

$\frac{1}{2}\left[9+5\left(-3\right)\right]$

Find the value of each expression

30. $\frac{16\left(9-22\right)}{4}$

Find the value of each expression

$\frac{45\left(4+32\right)}{10}$

Find the value of each expression

$0.3\left(1.5+2.4\right)÷0.5$

Find the value of each expression

33. $1.6\left(0.7+3.3\right)÷2.5$

Find the value of each expression

$\frac{1}{5}-\frac{20\left(81÷9\right)}{25}$

Find the value of each expression

35. $\frac{12\left(52÷2^2\right)}{6}-\frac{2}{3}$

The amount of pollutants saved by riding a bicycle rather than driving a car is calculated by adding the organic gases, carbon monoxide, and nitrous oxides emitted. To find the pound of pollutants created by starting a typical car 10 times and driving it for 50 miles, find the value of expression  $\frac{\left(52.84\times 10\right)+\left(5.955\times 50\right)}{454}$

Question: NURSING

Determine the IV flow rate for the patient described at the beginning of the lesson by finding the value of $\frac{1500\times 15}{12\times 60}$

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$ 

$w+x+z$

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$ and  $z=-3$

39. $w+12÷z$

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$

$w\left(8-y\right)$

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$ and  $z=-3$

41. $z\left(x+1\right)$

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$

$w-3x+y$

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$ and $z=-3$

43. $5x+2z$

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$ and $z=-3$

 $z^4-w$

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$ and  $z=-3$

45. ${\left(5-w\right)}^2+x$

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$

$\frac{5wx}{z}$

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$

$\frac{2z-15x}{3y}$

Evaluate each expression if $w=6,x=0.4,y=\frac{1}{2},$ and $z=-3$ 

48. ${\left(x-y\right)}^2-2wz$

Evaluate each expression if $w=6, x=0.4, y=\frac{1}{2},$ and $z=-3$

$\frac{1}{y}+\frac{1}{w}$