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