Chapter 3

Write an equation for each line. $$ m=-\frac{2}{3} ; \text { contains }(-9,4) $$

Solve each inequality. Graph the solution on a number line. $$ 3 x+2<-x+10 $$

For each function, \(y\) varies directly as \(x\) If \(y=9\) when \(x=15,\) find \(x\) when \(y=6\)

Find the value of \(a\) that makes each system a dependent system. \(\left\\{\begin{array}{l}{y=\frac{x}{2}+4} \\ {2 y-x=a}\end{array}\right.\)

Write an equation for each line. $$ m=0 ; \text { contains }(3,4) $$

Solve each inequality. Graph the solution on a number line. $$ -2(x+3) \geq x $$

Solve each equation. Check your answers. $$ |2 x+5|=6 $$

Use the following system of equations \(\left\\{\begin{array}{l}{5 x-3 y=11} \\\ {-x+12 y=3.5}\end{array}\right.\) If you want to solve the system by eliminating \(x\) (with addition), by what would you multiply the second equation?

Write an equation for each line. $$ m=2 ; \text { contains }(-2,-3) $$

Use the following system of equations \(\left\\{\begin{array}{l}{5 x-3 y=11} \\\ {-x+12 y=3.5}\end{array}\right.\) If you want to solve the system by eliminating \(y\) (with addition), by what would you multiply the first equation?

Write an equation for each line. $$ m=-\frac{1}{2} ; \text { contains }(2,-6) $$

Solve each equation. Check your answers. $$ 3|x-4|+1=13 $$

Use the following system of equations \(\left\\{\begin{array}{l}{5 x-3 y=11} \\\ {-x+12 y=3.5}\end{array}\right.\) What is the value of \(x\) in the solution? Enter your answer as a decimal.

Solve each equation and check the solution. $$ 3 n=-4(2+n) $$

Solve each equation. Check your answers. $$ -2|x+1|-5=-7 $$

Use the following system of equations \(\left\\{\begin{array}{l}{5 x-3 y=11} \\\ {-x+12 y=3.5}\end{array}\right.\) What is the value of \(y\) in the solution? Enter your answer as a decimal.

Solve each equation and check the solution. $$ -4 a+a=7 a-6 $$

Solve each equation. Check your answers. $$ \frac{1}{2}|3 x+2|-3=4 $$

Use the following system of equations \(\left\\{\begin{array}{c}{4 x-10 y=-3} \\\ {12 x+5 y=12}\end{array}\right.\) What is the value of \(x\) in the solution? Enter your answer as a fraction in simplest form.

Solve each equation and check the solution. $$ \frac{x}{3}+5=\frac{1}{6} $$

Use the following system of equations \(\left\\{\begin{array}{c}{4 x-10 y=-3} \\\ {12 x+5 y=12}\end{array}\right.\) What is the value of \(y\) in the solution? Enter your answer as a decimal.

Solve each equation and check the solution. $$ 4 x-2=\frac{1}{2} x $$

Solve each system of equations by graphing. \(\left\\{\begin{array}{l}{y=3 x+4} \\ {2 y=6 x-2}\end{array}\right.\)

Solve each equation and check the solution. $$ \frac{r}{5}+5=r-3 $$

Solve each system of equations by graphing. \(\left\\{\begin{array}{l}{-3 y=9 x+1} \\ {6 y=-18 x-2}\end{array}\right.\)

Solve each equation and check the solution. $$ 2(m-3)=-4 $$

Solve each system of equations by graphing. \(\left\\{\begin{aligned} 4 x-y &=-5 \\\\-8 x+2 y &=15 \end{aligned}\right.\)

Write an equation for each diagonal translation. \(y=|x|, \frac{1}{2}\) unit \(u p, 2\) units right

Write an equation for each diagonal translation. \(y=2 x-3,1\) unit down, 1 unit right

What subset(s) of real numbers contain(s) 6\(?\)

The sum of the first and last of four consecutive odd integers is \(48 .\) What are the four integers?