Chapter 8

In Exercises 55-58, rewrite the expression in exponential form. $$ (-1.3) \cdot(-1.3) $$

In Exercises 55-58, solve and graph the inequality. $$ 3 x-7 \geq 2 x+9 $$

In Exercises 57-60, evaluate the expression. $$ \frac{5}{8}+\frac{3}{2} $$

In Exercises \(59-62\), rewrite the expression as a product. $$ (-4)^{4} $$

In Exercises 59-62, solve the system by the method of substitution. $$ \left\\{\begin{aligned} y &=x \\ x+3 y &=20 \end{aligned}\right. $$

In Exercises 59?62, factor the expression. $$ x(3-x)-2(3-x) $$

In Exercises 57-60, evaluate the expression. $$ \frac{2}{7}-\frac{1}{3} $$

In Exercises \(59-62\), rewrite the expression as a product. $$ 7^{5} $$

In Exercises 59-62, solve the system by the method of substitution. $$ \left\\{\begin{array}{r} x+y=9 \\ 2 x+2 y=18 \end{array}\right. $$

In Exercises 59?62, factor the expression. $$ 4 t^{2}-9 $$

In Exercises 57-60, evaluate the expression. $$ \frac{3}{5}-\frac{7}{6} $$

In Exercises \(59-62\), rewrite the expression as a product. $$ \left(-\frac{3}{4}\right)^{2} $$

In Exercises 59-62, solve the system by the method of substitution. $$ \left\\{\begin{array}{l} 2 x+y=5 \\ 5 x+3 y=12 \end{array}\right. $$

In Exercises 59?62, factor the expression. $$ 4 y^{2}-20 y+25 $$

In Exercises 61-64, solve the equation and check your solution. $$ x-6=5 x $$

In Exercises \(59-62\), rewrite the expression as a product. $$ (3.5)^{8} $$

In Exercises 59-62, solve the system by the method of substitution. $$ \left\\{\begin{array}{r} 5 x+6 y=21 \\ 25 x+30 y=10 \end{array}\right. $$

In Exercises 59?62, factor the expression. $$ 6 u^{2}-5 u-21 $$

In Exercises 61-64, solve the equation and check your solution. $$ 2-3 x=14+x $$

In Exercises \(63-66\), sketch the graph of the equation. $$ 2 x+4 y=8 $$

In Exercises \(63-66\), solve the equation. $$ 14-2 x=x+2 $$

In Exercises 61-64, solve the equation and check your solution. $$ y-3(4 y-2)=1 $$

In Exercises \(63-66\), sketch the graph of the equation. $$ y=4(x-1)+3 $$

In Exercises \(63-66\), solve the equation. $$ \frac{9}{x+3}=15 $$

In Exercises 61-64, solve the equation and check your solution. $$ y+6(3-2 y)=4 $$

In Exercises \(63-66\), sketch the graph of the equation. $$ 0.3 x-0.2 y=0.8 $$

In Exercises \(63-66\), solve the equation. $$ z^{2}-4 z-12=0 $$

In Exercises 65-68, solve the rational equation. $$ \frac{x}{5}+\frac{2 x}{5}=3 $$

In Exercises \(63-66\), sketch the graph of the equation. $$ x=6 $$

In Exercises \(63-66\), solve the equation. $$ t^{3}+t^{2}-4 t-4=0 $$

In Exercises 65-68, solve the rational equation. $$ \frac{3 x}{5}+\frac{4 x}{8}=\frac{11}{10} $$

In Exercises \(67-70\), solve the system by graphing. $$ \left\\{\begin{array}{l} 3 x+4 y=10 \\ 3 x+4 y=-1 \end{array}\right. $$

In Exercises 65-68, solve the rational equation. $$ \frac{x-3}{x+1}=\frac{4}{3} $$

In Exercises \(67-70\), solve the system by graphing. $$ \left\\{\begin{array}{l} x-2 y=6 \\ x+2 y=2 \end{array}\right. $$

In Exercises 65-68, solve the rational equation. $$ \frac{3}{x}=\frac{9}{2(x+2)} $$

In Exercises \(67-70\), solve the system by graphing. $$ \left\\{\begin{array}{r} 5 x+y=-3 \\ x+2 y=-6 \end{array}\right. $$

In Exercises \(67-70\), solve the system by graphing. $$ \left\\{\begin{aligned} -x+9 y &=6 \\ \frac{1}{3} x-3 y &=-2 \end{aligned}\right. $$