Chapter 8

Use the graphing method to tell how many solutions the system has. $$ \begin{array}{c} {x-5 y=8} \\ {-x+5 y=-8} \end{array} $$

Write the numbers in increasing order. $$\frac{3}{5}, \frac{5}{7}, \frac{4}{8}$$

Evaluate the expression for the given value of the variable. \(b^{2}\) when \(b=8\)

Evaluate the expression. Then simplify the answer. $$ \frac{9+3^{3}-4}{8 \cdot 2} $$

Write in slope-intercept form the equation of the line that passes through the given points. $$ (-1,-7) \text { and }(3,-11) $$

Divide. $$ 0.451 \div 0.082 $$

Graph the system of linear inequalities. $$ \begin{aligned} &2 x+y \leq 1\\\ &-2 x+y \leq 1 \end{aligned} $$

Write the numbers in increasing order. $$-2 \frac{3}{4},-3 \frac{4}{5},-2 \frac{1}{5}$$

Evaluate the expression for the given value of the variable. \((5 y)^{4}\) when \(y=2\)

Evaluate the expression. Then simplify the answer. $$ \frac{(5-3)^{2}}{2 \cdot(6-2)} $$

Write in slope-intercept form the equation of the line that passes through the given points. $$ (3,9) \text { and }(1,-3) $$

Divide. $$ 0.6064 \div 0.758 $$

Graph the system of linear inequalities. $$ \begin{aligned} &x+2 y<3\\\ &x-3 y>1 \end{aligned} $$

Write the numbers in increasing order. $$-6.57,-6.9,-6.56$$

Evaluate the expression for the given value of the variable. \(\frac{1}{2} n^{3}\) when \(n=-2\)

Evaluate the expression. Then simplify the answer. $$ \frac{2 \cdot 3^{4}}{20-4^{2}+8} $$

Write in slope-intercept form the equation of the line that passes through the given points. $$ (5,-2) \text { and }(-4,7) $$

Graph the system of linear inequalities. $$ \begin{array}{r} {2 x+y \geq 2} \\ {x<2} \end{array} $$

Write the numbers in increasing order. $$3.001,3.25,3.01$$

Evaluate the expression for the given value of the variable. \(\frac{1}{y^{2}}\) when \(y=5\)

Solve the equation. $$ x+1=6 $$

Write in slope-intercept form the equation of the line that passes through the given points. $$ (1,8) \text { and }(-4,-2) $$

Write the given fraction, decimal, or percent in the indicated form. Write \(\frac{1}{3}\) as a decimal.

Write the numbers in increasing order. $$7.99,7.09,7.9$$

Evaluate the expression for the given value of the variable. \(\frac{24}{x^{3}}\) when \(x=2\)

Solve the equation. $$ -2=7+x $$

Decide whether the ordered pair is a solution of the system of linear equations. $$ \begin{aligned} &2 x+4 y=2\\\ &-x+5 y=13 \quad(-3,2) \end{aligned} $$

Write the given fraction, decimal, or percent in the indicated form. Write \(\frac{53}{25}\) as a percent.

Evaluate the expression for the given value of the variable. \(\frac{45}{a^{2}}\) when \(a=2\)

Solve the equation. $$ 15=x-(-4) $$

Decide whether the ordered pair is a solution of the system of linear equations. $$ \begin{aligned} &3 x-4 y=5\\\ &x+6 y=8 \quad(3,1) \end{aligned} $$

Write the given fraction, decimal, or percent in the indicated form. Write 1.45 as a fraction.

Use a table of values to graph the equation. \(y=x+2\)

Solve the equation. $$ 10=x-5 $$

Decide whether the ordered pair is a solution of the system of linear equations. $$ \begin{aligned} 8 x+4 y &=6 \\ 4 x+y &=3 \end{aligned} \quad(1,-1) $$

Write the given fraction, decimal, or percent in the indicated form. Write 0.674 as a percent.

Use a table of values to graph the equation. \(y=-(x-4)\)

Solve the equation. $$ -3+x=-8 $$

Decide whether the ordered pair is a solution of the system of linear equations. $$ \begin{aligned} &x-5 y=9\\\ &3 x+5 y=11 \quad(4,-1) \end{aligned} $$

Write the given fraction, decimal, or percent in the indicated form. Write \(15 \%\) as a fraction.

Use a table of values to graph the equation. \(y=\frac{1}{2} x-5\)

Solve the equation. $$ x-(-6)=-9 $$

Use linear combinations to solve the system. Then check your solution. $$ \begin{array}{l} {x-y=4} \\ {x+y=12} \end{array} $$

Write the given fraction, decimal, or percent in the indicated form. Write \(756.7 \%\) as a decimal.

Use a table of values to graph the equation. \(y=\frac{3}{4} x+2\)

Solve the inequality. Then graph and check the solution. $$ |x-3|>4 $$

Use linear combinations to solve the system. Then check your solution. $$ \begin{aligned} -p+2 q &=12 \\ p+6 q &=20 \end{aligned} $$

Use a table of values to graph the equation. \(y=2\)

Solve the inequality. Then graph and check the solution. $$ |x+9|<4 $$

Use linear combinations to solve the system. Then check your solution. $$ \begin{aligned} &2 a+3 b=17\\\ &3 a+4 b=24 \end{aligned} $$