Chapter 7

Write the equation in slope-intercept form. Then graph the equation. $$ 6 x+y=0 $$

Graph the inequality. $$y \leq 3 x+1$$

Use linear combinations to solve the linear system. Then check your solution. \(5 y-20=-4 x\) \(4 y=-20 x+16\)

Write in slope-intercept form the equation of the line that passes through the given point and has the given slope. $$ (-1,5), m=-3 $$

Graph the function. $$ f(x)=2 x+3 $$

Write the equation in slope-intercept form. Then graph the equation. $$ 8 x-4 y=16 $$

Graph the inequality. $$y>x+4$$

The Verrazano-Narrows Bridge in New York is the longest suspension bridge in North America, with a main span of 4260 feet. Let \(x\) represent the length (in feet) of every other suspension bridge in North America. Write an inequality that describes \(x .\) Then graph the inequality.

Graph the function. $$ h(x)=x+5 $$

Which ordered pair is a solution of the following system of linear inequalities? $$ \begin{aligned} &y \leq x+2\\\ &y+x>4 \end{aligned} $$ F. \((1,3)\) G. \((2,1)\) H. \((2,6)\) J. \((4,2)\)

Write the equation in slope-intercept form. Then graph the equation. $$ 3 x+y=-5 $$

Graph the inequality. $$4 x+y \leq 4$$

A farmer is tracking two wild honey bees in his field. He maps the first bee's path to the hive on the line \(7 y=9 x .\) The second bee's path follows the line \(y=-3 x+12 .\) Their paths cross at the hive. At what coordinates will the farmer find the hive?

Perform the indicated operation. $$ 3.71+1.054 $$

Write the equation in slope-intercept form. Then graph the equation. $$ 5 x+3 y=3 $$

Evaluate the expression. (Lessons 1.2,1.3) $$ 3^{5} $$

Graph the function. $$ g(x)=5 x-4 $$

Graph the inequality. $$2 x-3 y<6$$

Perform the indicated operation. $$ 10.35+5.301 $$

Write the equation in slope-intercept form. Then graph the equation. $$ x+y=0 $$

Evaluate the expression. (Lessons 1.2,1.3) $$ 8^{2}-17 $$

Graph the function. $$ g(x)=-x+2 $$

Solve for x, y, and z in the system of equations. Explain each step of your solution. \(3 x+2 y+z=42\) \(2 y+z+12=3 x\) \(x-3 y=0\)

Perform the indicated operation. $$ 2.5-0.5 $$

Write the equation in slope-intercept form. Then graph the equation. $$ y=-4 $$

Evaluate the expression. (Lessons 1.2,1.3) $$ 5^{3}+12 $$

Graph the function. $$ f(x)=-4 x+1 $$

Solve the system and choose the true statement. \(x+y=4\) \(x-2 y=10\) A) The value of \(x\) is greater than \(y .\) B) The value of \(y\) is greater than \(x\) C) The values of \(x\) and \(y\) are equal. D) None of these

Perform the indicated operation. $$ (2.1)(0.2) $$

Solve the inequality. Then graph the solution. $$ -5<-x \leq 1 $$

Evaluate the expression. (Lessons 1.2,1.3) $$ 2\left(3^{3}-20\right) $$

Graph the function. $$ h(x)=-3 x-1 $$

Solve the system and choose the true statement. \(3 x+5 y=-8\) \(x-2 y=1\) F) The value of \(x\) is greater than \(y .\) G) The value of \(y\) is greater than \(x\). H) The values of \(x\) and \(y\) are equal. J) None of these

Perform the indicated operation. $$ \frac{0.3}{0.03} $$

Solve the inequality. Then graph the solution. $$ -14 \leq x+5 \leq 14 $$

Evaluate the expression. (Lessons 1.2,1.3) $$ 2^{6}-3+1 $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{9}{15}+\frac{3}{5} $$

Write in slope-intercept form the equation of the line that passes through the given point and has the given slope, or that passes through the given points. \((-2,4), m=3\)

Perform the indicated operation. $$ \frac{5.175}{1.15} $$

Solve the inequality. Then graph the solution. $$ -2<-3 x+1<10 $$

Evaluate the expression. (Lessons 1.2,1.3) $$ 5 \cdot 2+4^{2} $$

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{1}{12}+\frac{1}{2} $$

Write in slope-intercept form the equation of the line that passes through the given point and has the given slope, or that passes through the given points. \((5,1), m=5\)

Solve the inequality. Then graph the solution. $$ x+6<7 \text { or } 4 x>12 $$

Evaluate the expression for the given values of the variables. (Lesson 1.2 ) \((x+y)^{2}\) when \(x=5\) and \(y=2\)

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{3}{8}+\frac{7}{9} $$

Write in slope-intercept form the equation of the line that passes through the given point and has the given slope, or that passes through the given points. \((9,3), m=-3\)

Solve the inequality. Then graph the solution. $$ 3 x-2 \geq 4 \text { or } 5-x>9 $$

Evaluate the expression for the given values of the variables. (Lesson 1.2 ) \((b-c)^{2}\) when \(b=2\) and \(c=1\)

Add. Write the answer as a fraction or a mixed number in simplest form. $$ \frac{3}{7}+\frac{2}{5} $$