Chapter 10

Simplify. $$ \frac{5}{6} \cdot \frac{9}{4} \cdot \frac{1}{3} \div \frac{1}{2} $$

Use the substitution method to solve the linear system. $$ \begin{aligned} &-x+y=0\\\ &2 x+y=0 \end{aligned} $$

Add. Write the answer as a mixed number in simplest form. $$ \frac{1}{8}+1 \frac{1}{2} $$

Add. $$ 7.9+3.0204+10 $$

Find the reciprocal. \(-7\)

Simplify the expression. Write your answer as a power. $$ (-3 x y)^{3}(2 y)^{2} $$

List all the factors of the number. 12

Simplify. $$ \frac{1}{2} \cdot \frac{1}{3} \div \frac{1}{4} \cdot \frac{1}{5} $$

Use the substitution method to solve the linear system. $$\begin{aligned}&x-2 y=4\\\&2 x+y=3\end{aligned}$$

Add. Write the answer as a mixed number in simplest form. $$ \frac{11}{3}+5 \frac{5}{6} $$

Add. $$ 3.2+5.013+0.0021 $$

Find the reciprocal. \(\frac{2}{9}\)

Simplify the expression. Write your answer as a power. $$ \left(8 x^{2} y^{8}\right)^{3} $$

List all the factors of the number. 20

Use the substitution method to solve the linear system. $$ \begin{aligned} &x-y=0\\\ &3 x+4 y=14 \end{aligned} $$

Add. Write the answer as a mixed number in simplest form. $$ 2 \frac{3}{4}+\frac{19}{20} $$

Add. $$ 100+9.81+5.0006 $$

Find the reciprocal. \(1 \frac{3}{4}\)

Tell whether the equation has two solutions, one solution, or no real solution. $$ x^{2}-5 x+6=0 $$

List all the factors of the number. 18

Use the substitution method to solve the linear system. $$ \begin{aligned} &2 x+3 y=-5\\\ &x-2 y=-6 \end{aligned} $$

Add. Write the answer as a mixed number in simplest form. $$ 5 \frac{1}{2}+4 \frac{5}{16} $$

Find the reciprocal. \(\frac{5}{6}\)

Tell whether the equation has two solutions, one solution, or no real solution. $$ x^{2}+7 x+12=0 $$

List all the factors of the number. 35

Simplify the expression. $$ \sqrt{216} $$

Add. Write the answer as a mixed number in simplest form. $$ 9 \frac{2}{7}+3 \frac{11}{28} $$

Find the reciprocal. \(-2 \frac{5}{8}\)

Tell whether the equation has two solutions, one solution, or no real solution. $$ x^{2}-2 x-24=0 $$

Simplify the expression. $$ \sqrt{5} \cdot \sqrt{15} $$

Add. Write the answer as a mixed number in simplest form. $$ 2 \frac{1}{2}+\frac{4}{3} $$

Find the reciprocal. \(9 \frac{7}{10}\)

Tell whether the equation has two solutions, one solution, or no real solution. $$ 2 x^{2}-3 x-1=0 $$

List all the factors of the number. 24

Simplify the expression. $$ \sqrt{10} \cdot \sqrt{20} $$

Add. Write the answer as a mixed number in simplest form. $$ 2 \frac{1}{2}+\frac{5}{7} $$

Find the reciprocal. \(-8 \frac{3}{4}\)

Tell whether the equation has two solutions, one solution, or no real solution. $$ 4 x^{2}+4 x+1=0 $$

List all the factors of the number. 36

Simplify the expression. $$ \sqrt{4} \cdot 3 \sqrt{9} $$

Add. Write the answer as a mixed number in simplest form. $$ 12 \frac{7}{12}+8 \frac{9}{32} $$

Tell whether the equation has two solutions, one solution, or no real solution. $$ 3 x^{2}-7 x+5=0 $$

List all the factors of the number. 48

Simplify the expression. $$ \sqrt{\frac{28}{49}} $$

Add. Write the answer as a mixed number in simplest form. $$ 9 \frac{7}{24}+6 \frac{5}{36} $$

Tell whether the equation has two solutions, one solution, or no real solution. $$ 7 x^{2}-8 x-6=0 $$

List all the factors of the number. 64

Simplify the expression. $$ \frac{10 \sqrt{8}}{\sqrt{25}} $$

Tell whether the equation has two solutions, one solution, or no real solution. $$ 10 x^{2}-13 x-9=0 $$

List all the factors of the number. 90