Chapter 1

Solve the equation by factoring, if required: $$ (x+3)(x-2)=0 $$

Determine whether the statement is true or false. $$ -3<-20 $$

Rewrite the number without radicals or exponents.. $$ \sqrt{81} $$

simplify the expression. \(\frac{28 x^{2}}{7 x^{3}}\)

Solve the given equation. $$ 3 x=12 $$

Rewrite the number without using exponents. $$ (-2)^{3} $$

Factor out the greatest common factor. $$ 6 m^{2}-2 m $$

Classify the number as to type. (For example, \(\frac{1}{2}\) is rational and real, whereas \(\sqrt{5}\) is irrational and real.) $$ -3 $$

Evaluate the expression. $$ 3^{4} $$

Solve the equation by factoring, if required: $$ (y-3)(y-4)=0 $$

Determine whether the statement is true or false. $$ -5 \leq-5 $$

simplify the expression. \(\frac{3 y^{4}}{18 y^{2}}\)

Rewrite the number without radicals or exponents.. $$ \sqrt[3]{-27} $$

Solve the given equation. $$ 2 x=0 $$

Rewrite the number without using exponents. $$ \left(-\frac{2}{3}\right)^{4} $$

Factor out the greatest common factor. $$ 4 t^{4}-12 t^{3} $$

Classify the number as to type. (For example, \(\frac{1}{2}\) is rational and real, whereas \(\sqrt{5}\) is irrational and real.) $$ -420 $$

Evaluate the expression. $$ (-2)^{5} $$

Solve the equation by factoring, if required: $$ x^{2}-4=0 $$

Determine whether the statement is true or false. $$ \frac{2}{3}>\frac{5}{6} $$

Rewrite the number without radicals or exponents.. $$ \sqrt[4]{256} $$

Solve the given equation. $$ 0.3 y=4 $$

Rewrite the number without using exponents. $$ 7^{-2} $$

Factor out the greatest common factor. $$ 9 a b^{2}-6 a^{2} b $$

Classify the number as to type. (For example, \(\frac{1}{2}\) is rational and real, whereas \(\sqrt{5}\) is irrational and real.) $$ \frac{3}{8} $$

Evaluate the expression. $$ \left(\frac{2}{3}\right)^{3} $$

Solve the equation by factoring, if required: $$ 2 m^{2}-32=0 $$

Determine whether the statement is true or false. $$ -\frac{5}{6}<-\frac{11}{12} $$

simplify the expression. \(\frac{12 m-6}{18 m-9}\)

Rewrite the number without radicals or exponents.. $$ \sqrt[5]{-32} $$

Solve the given equation. $$ 2 x+5=11 $$

Rewrite the number without using exponents. $$ \left(\frac{3}{4}\right)^{-2} $$

Factor out the greatest common factor. $$ 12 x^{3} y^{5}+16 x^{2} y^{3} $$

Classify the number as to type. (For example, \(\frac{1}{2}\) is rational and real, whereas \(\sqrt{5}\) is irrational and real.) $$ -\frac{4}{125} $$

Evaluate the expression. $$ \left(-\frac{3}{4}\right)^{2} $$

Solve the equation by factoring, if required: $$ x^{2}+x-12=0 $$

Show the interval on a number line. $$ (3,6) $$

simplify the expression. \(\frac{6 x^{2}-3 x}{6 x^{2}}\)

Rewrite the number without radicals or exponents.. $$ 9^{1 / 2} $$

Solve the given equation. $$ 3 x+4=2 $$

Rewrite the number without using exponents. $$ -\left(-\frac{1}{4}\right)^{-2} $$

Factor out the greatest common factor. $$ 10 m^{2} n-15 m n^{2}+20 m n $$

Classify the number as to type. (For example, \(\frac{1}{2}\) is rational and real, whereas \(\sqrt{5}\) is irrational and real.) $$ \sqrt{11} $$

Evaluate the expression. $$ -4^{3} $$

Solve the equation by factoring, if required: $$ 3 x^{2}-x-4=0 $$

Show the interval on a number line. $$ (-2,5] $$

simplify the expression. \(\frac{8 y^{2}}{4 y^{3}-4 y^{2}+8 y}\)

Rewrite the number without radicals or exponents.. $$ 625^{1 / 4} $$

Solve the given equation. $$ 2-3 y=8 $$

Rewrite the number without using exponents. $$ -4^{2} $$