Chapter 11

Algebra 1: Concepts and Skills · 506 exercises

Problem 63

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \left(\frac{-2 u^{2} v}{u v^{4}}\right)^{-3} $$

4 step solution

Problem 63

Solve the quadratic equation. (Lesson 9.6) $$2 x^{2}+12 x-6=0$$

4 step solution

Problem 63

Simplify the expression. $$ \frac{16 x^{4}}{32 x^{8}} $$

3 step solution

Problem 63

Evaluate the function when x 0, 1, 2, 3, and 4. \(f(x)=-x^{2}\)

5 step solution

Problem 63

Sketch the graph of the function. $$y=\frac{1}{2} x^{2}$$

4 step solution

Problem 63

Simplify the radical expression. (Lesson 9.3) $$ \frac{1}{2} \sqrt{28} $$

3 step solution

Problem 64

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ 4 \frac{1}{2}-\frac{20}{8} $$

4 step solution

Problem 64

Simplify the expression. The simplified expression should have no negative exponents. (Lesson 8.4). $$ \left(\frac{42 a^{3} b^{-4}}{6 a b}\right)^{3} $$

3 step solution

Problem 64

Solve the quadratic equation. (Lesson 9.6) $$x^{2}-6 x+7=0$$

4 step solution

Problem 64

Simplify the expression. $$ \frac{42 x^{4} y^{3}}{6 x^{3} y^{9}} $$

4 step solution

Problem 64

Evaluate the function when x 0, 1, 2, 3, and 4. \(f(x)=x^{2}-1\)

5 step solution

Problem 64

Sketch the graph of the function. $$y=5 x^{2}+4 x-5$$

4 step solution

Problem 64

Simplify the radical expression. (Lesson 9.3) $$ \sqrt{\frac{5}{8}} $$

4 step solution

Problem 65

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ 3 \frac{1}{3}-\frac{4}{3} $$

3 step solution

Problem 65

Perform the indicated operation. Write the result in scientific notation. (Lesson 8.5). $$ \frac{8 \times 10^{-3}}{5 \times 10^{-5}} $$

3 step solution

Problem 65

Solve the quadratic equation. (Lesson 9.6) $$3 x^{2}+11 x+10=0$$

3 step solution

Problem 65

Simplify the expression. $$ \frac{12 x}{144 x^{2}} $$

3 step solution

Problem 65

Evaluate the function when x 0, 1, 2, 3, and 4. \(f(x)=\frac{x^{2}}{2}\)

5 step solution

Problem 65

Sketch the graph of the function. $$y=4 x^{2}-x+6$$

3 step solution

Problem 66

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ \frac{10}{4}-\frac{1}{2} $$

4 step solution

Problem 66

Perform the indicated operation. Write the result in scientific notation. (Lesson 8.5). $$ \frac{1.4 \times 10^{-1}}{3.5 \times 10^{-4}} $$

3 step solution

Problem 66

Solve the quadratic equation. (Lesson 9.6) $$6 x^{2}=130$$

3 step solution

Problem 66

Simplify the expression. $$ \frac{2 x^{2} y^{3} z^{4}}{5 x^{4} y^{3} z^{2}} $$

3 step solution

Problem 66

Evaluate the expression. \(2^{4} \cdot 2^{3}\)

3 step solution

Problem 66

Sketch the graph of the function. $$y=-3 x^{2}-x+7$$

4 step solution

Problem 67

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ \frac{41}{3}-4 \frac{1}{5} $$

4 step solution

Problem 67

Perform the indicated operation. Write the result in scientific notation. (Lesson 8.5). $$ \left(3 \times 10^{-2}\right)^{4} $$

4 step solution

Problem 67

Simplify the expression. $$ \frac{33 p^{4}}{44 p^{2} q} $$

3 step solution

Problem 67

Solve the quadratic equation. (Lesson 9.6) $$5=6 x^{2}+7 x$$

3 step solution

Problem 67

Evaluate the expression. \(6^{3} \cdot 6^{-1}\)

3 step solution

Problem 67

Find the sum. $$0.987+1.4$$

3 step solution

Problem 68

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ 12 \frac{5}{6}-\frac{50}{7} $$

5 step solution

Problem 68

Perform the indicated operation. Write the result in scientific notation. (Lesson 8.5). $$ 2 \times 10^{3}+3 \times 10^{2} $$

3 step solution

Problem 68

Simplify the expression. $$ \frac{15 w^{2}}{9 w^{5}} $$

3 step solution

Problem 68

Solve the quadratic equation. (Lesson 9.6) $$2 x^{2}+4 x=7$$

4 step solution

Problem 68

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

3 step solution

Problem 68

Find the sum. $$0.009+9$$

2 step solution

Problem 69

Subtract. Write the answer as a whole number, fraction, or mixed number in simplest form. $$ \frac{43}{11}-2 \frac{2}{5} $$

4 step solution

Problem 69

Perform the indicated operation. Write the result in scientific notation. (Lesson 8.5). $$ (2.5 \times 10)^{-2} $$

4 step solution

Problem 69

Write the equation in standard form. $$ 6 x^{2}=5 x-7 $$

2 step solution

Problem 69

Add or subtract the polynomials. (Lesson 10.1) $$\left(-5 x^{2}+2 x-12\right)-\left(6-9 x-7 x^{2}\right)$$

3 step solution

Problem 69

Evaluate the expression. \(\left(4^{5}\right)^{0}\)

2 step solution

Problem 69

Find the sum. $$75.6+35.8$$

3 step solution

Problem 70

Write the equation in standard form. $$ 9-6 x=2 x^{2} $$

2 step solution

Problem 70

Add or subtract the polynomials. (Lesson 10.1) $$\left(a^{4}-12 a\right)+\left(4 a^{3}+11 a-1\right)$$

3 step solution

Problem 70

Evaluate the expression. \(12^{-5} \cdot 12^{3}\)

4 step solution

Problem 70

Find the sum. $$1.23+0.45$$

3 step solution

Problem 71

List the next three numbers suggested by the sequence. (Skills Review pp. 781) $$ 1,3,5,7, ?, ?, ? $$

2 step solution

Problem 71

Write the equation in standard form. $$ -4+3 y^{2}=y $$

2 step solution

Problem 71

Add or subtract the polynomials. (Lesson 10.1) $$\left(16 p^{3}-p^{2}+24\right)+\left(12 p^{2}-8 p-16\right)$$

3 step solution

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