Simplify

Problem 3801

Simplify and write without exponents:
$\left(\frac{1}{81}\right)^{\frac{3}{4}}=\square$ and $32^{-\frac{3}{5}}=\square$

See Solution

Problem 3802

Simplify the expression $y^{-\frac{1}{2}} y^{-\frac{1}{7}} y^{\frac{3}{2}}$ using only positive exponents.

See Solution

Problem 3803

Simplify the expression: $\frac{b^{-\frac{1}{2}} b^{\frac{1}{3}}}{b^{\frac{1}{4}}}$ using only positive exponents.

See Solution

Problem 3804

Simplify the expression $\left(c^{2} \cdot a^{-\frac{4}{5}}\right)^{\frac{1}{5}}$ without negative exponents.

See Solution

Problem 3805

Simplify the expression $\left(z^{-3} \cdot y^{\frac{5}{4}}\right)^{\frac{1}{5}}$ without negative exponents.

See Solution

Problem 3806

Simplify: $-5 \sqrt{80} + \sqrt{20}$ .

See Solution

Problem 3807

Simplify the expression $\frac{x^{-\frac{1}{3}}}{x^{-\frac{4}{7}}}$ using only positive exponents.

See Solution

Problem 3808

Simplify: $4 \sqrt{48} \times \sqrt{98}$ .

See Solution

Problem 3809

Simplify: $\sqrt{50}+2 \sqrt{98}$

See Solution

Problem 3810

Simplify $\sqrt{18} \times 2 \sqrt{98}$ .

See Solution

Problem 3811

Simplify: $\sqrt{54} \times 4 \sqrt{48}$

See Solution

Problem 3812

Simplify the expression: $\sqrt{32} \times 2 \sqrt{50}$ .

See Solution

Problem 3813

Evaluate $\cot \frac{\pi}{3}$ using special right triangles. Simplify your answer with integers or fractions.

See Solution

Problem 3814

Find the value of $\tan \frac{\pi}{8} \cot \frac{3 \pi}{8} - \sec \frac{\pi}{8} \csc \frac{3 \pi}{8}$ .

See Solution

Problem 3815

Rewrite $\cos \left(90^{\circ}-\theta\right) \cot \theta$ using one of the six trigonometric functions of angle $\theta$ . $\cos \left(90^{\circ}-\theta\right) \cot \theta=$

See Solution

Problem 3816

Combine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

See Solution

Problem 3817

Simplify the expression $x + 5y + 3x$ .

See Solution

Problem 3818

Simplify the expression $-2x - 3y + 4x + 5yi$ .

See Solution

Problem 3819

Simplify the expression: $-2 x + (-3 y) - (-4 x) + 5 y$ .

See Solution

Problem 3820

Simplify the expression: $-3 x(-2 y - 5 z + 3 z)$ .

See Solution

Problem 3821

Evaluate the expression using special right triangles: $\frac{\csc ^{2} 45^{\circ}+\tan ^{2} 60^{\circ}}{\cot ^{2} 30^{\circ}}$ Simplify your answer with integers or fractions.

See Solution

Problem 3822

Evaluate the expression using special right triangles:
$\frac{\sec ^{2} \frac{\pi}{3}+\tan ^{2} \frac{\pi}{4}}{\cot ^{2} \frac{\pi}{6}}=$
Simplify your answer, including radicals.

See Solution

Problem 3823

Find the value of $\sec \frac{\pi}{12} \csc \frac{5 \pi}{12}-\tan \frac{\pi}{12} \cot \frac{5 \pi}{12}$ .

See Solution

Problem 3824

Rewrite the expression $\frac{\sin ^{2} \theta+\cot ^{2} \theta+\cos ^{2} \theta}{\csc \theta}$ using basic trig identities.

See Solution

Problem 3825

Find the equivalent polynomial for $(-3 n+1)^{2}$ . Options: -9 n^{2}-6 n+1, -9 n^{2}+1, 9 n^{2}-6 n+1, 9 n^{2}+1.

See Solution

Problem 3826

Write 317 million in scientific notation.

See Solution

Problem 3827

Simplify the expression: $3x + 3x$ .

See Solution

Problem 3828

Solve for $x$ : $3(9x - 8) + 15x = 0$ .

See Solution

Problem 3829

Simplify the expression: $4(-3 x^{2}+5 x) - (3 x - 3 x^{2})$

See Solution

Problem 3830

Simplify the expression: $3(9x - 8) + 15x$ .

See Solution

Problem 3831

Simplify $5(2x - 3) - 8x$

See Solution

Problem 3832

Simplify $3(4 x^{2}+2 x)+2(5 x^{2}+x)$ .

See Solution

Problem 3833

Calculate $576 - 14.8 \div 8$ . What is the result?

See Solution

Problem 3834

Calculate $76 - 14.8 \div 8$ .

See Solution

Problem 3835

Simplify the expression: $y=\cos ^{2} x+\sin ^{2} x+1$ .

See Solution

Problem 3836

Expand and simplify the expression: $(3x + 7)(x + 5)$ into a trinomial.

See Solution

Problem 3837

Rewrite the polynomial $x^{2}+9+\frac{x}{6}$ in standard form.

See Solution

Problem 3838

Simplify $3^{4}$ .

See Solution

Problem 3839

Simplify $7 \cdot 6 \cdot 2 h d$ . Options: $48 d h$ , $84 dh$ , $42 + 2 h + d$ .

See Solution

Problem 3840

Calculate the value of $\frac{2(-12)-\sqrt{4}}{33}$ .

See Solution

Problem 3841

Factor the expression: $(x^{2}-x+4)(x-5)$ .

See Solution

Problem 3842

Simplify the expressions: $7.5+n+9.63$ , $n+17.13$ , $17.13 n$ , and $7.5 n+9.63$ .

See Solution

Problem 3843

Simplify the expression $7.95 - 3.86 + n$ .

See Solution

Problem 3844

Calculate the value of $\frac{.1123 \times .1087 \times .1139 \times .1112 \times .1189}{5}$ .

See Solution

Problem 3845

Calculate the value of $2 *(3+7)-1$ .

See Solution

Problem 3846

Calculate the expression: $2^{3}+6 \div 2 * 2+8$

See Solution

Problem 3847

Calculate $6^{2} \div 3 a - 2 b + 4$ for $a=3$ and $b=4$ .

See Solution

Problem 3848

Simplify $\frac{-4^{6} \cdot 4^{3}}{4^{4}}$ .

See Solution

Problem 3849

Simplify this expression without a calculator: $\frac{\cos 45 \cdot \sin 315 + 2 \tan 120 \cdot \cos 60}{2 \sin 240 \cdot \cos 300}$

See Solution

Problem 3850

Simplify $\frac{-4^{6} 4^{23}}{4^{4}}$

See Solution

Problem 3851

Simplify $\frac{-40_{0} y^{2}}{4}$ .

See Solution

Problem 3852

Find the equivalent expression for $(5 x+2)+(4 x-3)$ . Choices: A. $6 x+2$ , B. $7 x+1$ , C. $9 x-1$ , D. $11 x-3$ , E. $20 x-6$ .

See Solution

Problem 3853

Simplify the expression $\frac{-4^{6} \cdot 4^{2}}{4^{4}}$ .

See Solution

Problem 3854

Simplify:
1. $\frac{\cos 45 \cdot \sin 315+2 \tan 120 \cdot \cos 60}{2 \sin 240 \cdot \cos 300}$
2. Prove: $\frac{\cos x}{1+\sin x}-\frac{1-\sin x}{\cos x}=0$
3. Find $x$ for $5 \sin x+3 \cos x=0$ , $0^{\circ} \leq x \leq 360$
4. Simplify: $\cos (100-x)$

See Solution

Problem 3855

Find $g(f(x))$ given $f(x)=\frac{1}{2x+6}$ and $g(x)=\frac{4}{x}-3$ . Simplify fully, no decimals.

See Solution

Problem 3856

Find the equivalent expression for $\sqrt{200}$ from the options: A. $2 \sqrt{10}$ B. $10 \sqrt{2}$ C. $100 \sqrt{2}$ D. $2 \sqrt{100}$ .

See Solution

Problem 3857

Simplify: $4^{2}+8 \div 2$ . Choices: 12, 20, 8, 16.

See Solution

Problem 3858

Simplify the expression $\frac{\sqrt{84}}{2 \sqrt{3}}$ to its simplest radical form.

See Solution

Problem 3859

Simplify the expression: $\frac{\cos (160-x)}{\tan (90+x) \sin (180+x)}$ using reduction formulas.

See Solution

Problem 3860

Rationalize the denominator of $\frac{5}{\sqrt{3}-1}$ .

See Solution

Problem 3861

A baseball player batted 350 times and hit 100 balls. Find the hit-to-bat ratio as a simplified fraction.

See Solution

Problem 3862

A pack of 8 AA batteries costs \$6.24 and a pack of 20 costs \$15.80. Which has the lower unit price?

See Solution

Problem 3863

Simplify the expression $\sqrt{90} \cdot \sqrt{40}-\sqrt{8} \cdot \sqrt{18}$ . What is the result? A. 22.9 B. 48 C. 864 D. 3,456

See Solution

Problem 3864

Expand $(4 x-5)(6 x+5)$ into a trinomial form.

See Solution

Problem 3865

Factor completely: $5 x^{3}-20 x^{2}-60 x$

See Solution

Problem 3866

Convert 42000 to scientific notation.

See Solution

Problem 3867

Convert $7.83 \times 10^{7}$ to standard form.

See Solution

Problem 3868

Find the difference quotient of $f(x)=x^{2}+4$ : calculate $\frac{f(x+h)-f(x)}{h}$ , $h \neq 0$ , and simplify.

See Solution

Problem 3869

Calculate $\left[\frac{45.82 \mathrm{~g}}{(3.0 \mathrm{~cm})^{3}}-\frac{0.64 \mathrm{~g}}{(0.859 \mathrm{~cm})^{3}}\right] \div 2$ .

See Solution

Problem 3870

Simplify the expression: $\frac{8+8+2}{1^{5}}$ and choose the correct answer. A. $\frac{8+8+2}{1^{5}}=$ B. Undefined.

See Solution

Problem 3871

Simplify the expression: $\frac{3(8-6)+2}{2^{2}-2}$ . Choose A or B if it's undefined.

See Solution

Problem 3872

Calculate $\frac{3}{2} \div 0.08 \div 0.35$ .

See Solution

Problem 3873

Calculate the expression: $(-10) - 1 + (-46)$ .

See Solution

Problem 3874

Multiply the fractions: $\frac{10}{4} \cdot \frac{9}{5}$ . What is the simplified fraction?

See Solution

Problem 3875

Multiply and simplify: $4 \cdot 3 \frac{1}{3} = \square$ (Provide a whole number, fraction, or mixed number.)

See Solution

Problem 3876

Divide and simplify: $\frac{2}{55} \div \frac{4}{77} = \square$ (Enter a whole number or simplified fraction.)

See Solution

Problem 3877

Simplify the expression: $\frac{6+|9-2|+8^{2}}{5-2}$ and enter your answer as a number.

See Solution

Problem 3878

Convert the following to decimals: a. An insect's body length is about $\frac{1}{16}$ inch. b. A planet orbits its sun every $464 + \frac{39}{10,000}$ days.

See Solution

Problem 3879

Match the data tables with their corresponding equations and explain why. Simplify: $2x + x(x + 6)$ .

See Solution

Problem 3880

Fill in the table by converting between percent, decimal, and fraction. Simplify all answers.

See Solution

Problem 3881

What is the simplified ratio of tulip bulbs to daffodil bulbs if Robert planted 24 daffodils and 36 tulips?

See Solution

Problem 3882

Find the equivalent expression for $9 w^{2}+\frac{3}{5}(20 w^{2}-15 w+10)+2 w$ . Choices are A, B, C, D.

See Solution

Problem 3883

Find the equivalent expression for $5 q^{2}-\frac{2}{3}(6 q^{2}-6 q-3)+3 q$ . Options: A, B, C, D.

See Solution

Problem 3884

Simplify: $8 \sqrt{3} + 4 \sqrt{3} - 10 \sqrt{3} - 9 =$ (exact answer with radicals).

See Solution

Problem 3885

Calculate the product of $\frac{7}{2}$ and $\frac{7}{2}$ .

See Solution

Problem 3886

Calculate the value of $31 / 2 \times 31 / 2$ .

See Solution

Problem 3887

Find the compositions of the functions $f(x)=4x+7$ and $g(x)=-8x-7$ : (a) $(f \circ g)(x)$ , (b) $(g \circ f)(x)$ , (c) $(f \circ f)(x)$ . Simplify your answers.

See Solution

Problem 3888

Multiply and simplify: $(\sqrt{10}+8 \sqrt{6})(2 \sqrt{6}+5 \sqrt{10})$ .

See Solution

Problem 3889

Multiply and simplify: $(5 \sqrt{10}+7 \sqrt{6})(2 \sqrt{6}-8 \sqrt{10})$

See Solution

Problem 3890

Evaluate $f(g(-5))$ and $g(f(3))$ for $f(x)=7x-1$ and $g(x)=|x|$ .

See Solution

Problem 3891

Evaluate the following using $f(x)=7x-1$ and $g(x)=|x|$ : (a) $(f \circ g)(-5)$ (b) $(g \circ f)(3)$ Find $(f \circ g)(-5)=$ (Simplify your answer.)

See Solution

Problem 3892

Calculate the value of $\left(4^{4}\right)^{3}$ .

See Solution

Problem 3893

Evaluate $f(x)=7x-1$ and $g(x)=|x|$ for: (a) $(f \circ g)(-5)$ , (b) $(g \circ f)(3)$ .

See Solution

Problem 3894

Calculate the value of $\frac{3^{12}}{3^{3}}$ .

See Solution

Problem 3895

Calculate the value of $6^{4} \cdot 2^{4}$ .

See Solution

Problem 3896

Find $(f \circ g)(x)$ and $(g \circ f)(x)$ for $f(x)=2x-4$ and $g(x)=\frac{x+4}{2}$ . Simplify both.

See Solution

Problem 3897

Rationalize and simplify the expression: $\sqrt{\frac{13}{3}}$ .

See Solution

Problem 3898

Rationalize and simplify the expression: $\frac{\sqrt{21}}{\sqrt{77}}$ .

See Solution

Problem 3899

Calculate $\left(\frac{1}{6}\right)^5$ .

See Solution

Problem 3900

Calculate $12 \frac{8}{15}-7+\frac{7}{15}+15$ and simplify.

See Solution

1 ...36 37 38 39 40 41 42 ...56

Simplify

Problem 3801

Simplify and write without exponents: (181)34=□ \left(\frac{1}{81}\right)^{\frac{3}{4}}=\square (811​)43​=□ and 32−35=□ 32^{-\frac{3}{5}}=\square 32−53​=□

Problem 3802

Simplify the expression y−12y−17y32y^{-\frac{1}{2}} y^{-\frac{1}{7}} y^{\frac{3}{2}}y−21​y−71​y23​ using only positive exponents.

Problem 3803

Simplify the expression: b−12b13b14\frac{b^{-\frac{1}{2}} b^{\frac{1}{3}}}{b^{\frac{1}{4}}}b41​b−21​b31​​ using only positive exponents.

Problem 3804

Simplify the expression (c2⋅a−45)15\left(c^{2} \cdot a^{-\frac{4}{5}}\right)^{\frac{1}{5}}(c2⋅a−54​)51​ without negative exponents.

Problem 3805

Simplify the expression (z−3⋅y54)15\left(z^{-3} \cdot y^{\frac{5}{4}}\right)^{\frac{1}{5}}(z−3⋅y45​)51​ without negative exponents.

Problem 3806

Simplify: −580+20-5 \sqrt{80} + \sqrt{20}−580​+20​.

Problem 3807

Simplify the expression x−13x−47\frac{x^{-\frac{1}{3}}}{x^{-\frac{4}{7}}}x−74​x−31​​ using only positive exponents.

Problem 3808

Simplify: 448×984 \sqrt{48} \times \sqrt{98}448​×98​.

Problem 3809

Simplify: 50+298\sqrt{50}+2 \sqrt{98}50​+298​

Problem 3810

Simplify 18×298 \sqrt{18} \times 2 \sqrt{98} 18​×298​.

Problem 3811

Simplify: 54×448\sqrt{54} \times 4 \sqrt{48}54​×448​

Problem 3812

Simplify the expression: 32×250\sqrt{32} \times 2 \sqrt{50}32​×250​.

Problem 3813

Evaluate cot⁡π3\cot \frac{\pi}{3}cot3π​ using special right triangles. Simplify your answer with integers or fractions.

Problem 3814

Find the value of tan⁡π8cot⁡3π8−sec⁡π8csc⁡3π8\tan \frac{\pi}{8} \cot \frac{3 \pi}{8} - \sec \frac{\pi}{8} \csc \frac{3 \pi}{8}tan8π​cot83π​−sec8π​csc83π​.

Problem 3815

Rewrite cos⁡(90∘−θ)cot⁡θ\cos \left(90^{\circ}-\theta\right) \cot \thetacos(90∘−θ)cotθ using one of the six trigonometric functions of angle θ\thetaθ. cos⁡(90∘−θ)cot⁡θ=\cos \left(90^{\circ}-\theta\right) \cot \theta= cos(90∘−θ)cotθ=

Problem 3816

Combine the terms in the expression: −3x+y−y+7x-3x + y - y + 7x−3x+y−y+7x. What is the simplified result?

Problem 3817

Simplify the expression x+5y+3xx + 5y + 3xx+5y+3x.

Problem 3818

Simplify the expression −2x−3y+4x+5yi-2x - 3y + 4x + 5yi−2x−3y+4x+5yi.

Problem 3819

Simplify the expression: −2x+(−3y)−(−4x)+5y-2 x + (-3 y) - (-4 x) + 5 y−2x+(−3y)−(−4x)+5y.

Problem 3820

Simplify the expression: −3x(−2y−5z+3z)-3 x(-2 y - 5 z + 3 z)−3x(−2y−5z+3z).

Problem 3821

Evaluate the expression using special right triangles: csc⁡245∘+tan⁡260∘cot⁡230∘\frac{\csc ^{2} 45^{\circ}+\tan ^{2} 60^{\circ}}{\cot ^{2} 30^{\circ}}cot230∘csc245∘+tan260∘​ Simplify your answer with integers or fractions.

Problem 3822

Evaluate the expression using special right triangles: sec⁡2π3+tan⁡2π4cot⁡2π6= \frac{\sec ^{2} \frac{\pi}{3}+\tan ^{2} \frac{\pi}{4}}{\cot ^{2} \frac{\pi}{6}}= cot26π​sec23π​+tan24π​​= Simplify your answer, including radicals.

Problem 3823

Find the value of sec⁡π12csc⁡5π12−tan⁡π12cot⁡5π12\sec \frac{\pi}{12} \csc \frac{5 \pi}{12}-\tan \frac{\pi}{12} \cot \frac{5 \pi}{12}sec12π​csc125π​−tan12π​cot125π​.

Problem 3824

Rewrite the expression sin⁡2θ+cot⁡2θ+cos⁡2θcsc⁡θ\frac{\sin ^{2} \theta+\cot ^{2} \theta+\cos ^{2} \theta}{\csc \theta}cscθsin2θ+cot2θ+cos2θ​ using basic trig identities.

Problem 3825

Find the equivalent polynomial for (−3n+1)2(-3 n+1)^{2}(−3n+1)2. Options: -9 n^{2}-6 n+1, -9 n^{2}+1, 9 n^{2}-6 n+1, 9 n^{2}+1.

Problem 3826

Write 317 million in scientific notation.

Problem 3827

Simplify the expression: 3x+3x3x + 3x3x+3x.

Problem 3828

Solve for xxx: 3(9x−8)+15x=03(9x - 8) + 15x = 03(9x−8)+15x=0.

Problem 3829

Simplify the expression: 4(−3x2+5x)−(3x−3x2)4(-3 x^{2}+5 x) - (3 x - 3 x^{2})4(−3x2+5x)−(3x−3x2)

Problem 3830

Simplify the expression: 3(9x−8)+15x3(9x - 8) + 15x3(9x−8)+15x.

Problem 3831

Simplify 5(2x−3)−8x5(2x - 3) - 8x5(2x−3)−8x

Problem 3832

Simplify 3(4x2+2x)+2(5x2+x)3(4 x^{2}+2 x)+2(5 x^{2}+x)3(4x2+2x)+2(5x2+x).

Problem 3833

Calculate 576−14.8÷8576 - 14.8 \div 8576−14.8÷8. What is the result?

Problem 3834

Calculate 76−14.8÷876 - 14.8 \div 876−14.8÷8.

Problem 3835

Simplify the expression: y=cos⁡2x+sin⁡2x+1y=\cos ^{2} x+\sin ^{2} x+1y=cos2x+sin2x+1.

Problem 3836

Expand and simplify the expression: (3x+7)(x+5)(3x + 7)(x + 5)(3x+7)(x+5) into a trinomial.

Problem 3837

Rewrite the polynomial x2+9+x6x^{2}+9+\frac{x}{6}x2+9+6x​ in standard form.

Problem 3838

Simplify 343^{4}34.

Problem 3839

Simplify 7⋅6⋅2hd7 \cdot 6 \cdot 2 h d7⋅6⋅2hd. Options: 48dh48 d h48dh, 84dh84 dh84dh, 42+2h+d42 + 2 h + d42+2h+d.

Problem 3840

Simplify and write without exponents:
$\left(\frac{1}{81}\right)^{\frac{3}{4}}=\square$ and $32^{-\frac{3}{5}}=\square$

Simplify the expression $y^{-\frac{1}{2}} y^{-\frac{1}{7}} y^{\frac{3}{2}}$ using only positive exponents.

Simplify the expression: $\frac{b^{-\frac{1}{2}} b^{\frac{1}{3}}}{b^{\frac{1}{4}}}$ using only positive exponents.

Simplify the expression $\left(c^{2} \cdot a^{-\frac{4}{5}}\right)^{\frac{1}{5}}$ without negative exponents.

Simplify the expression $\left(z^{-3} \cdot y^{\frac{5}{4}}\right)^{\frac{1}{5}}$ without negative exponents.

Simplify: $-5 \sqrt{80} + \sqrt{20}$ .

Simplify the expression $\frac{x^{-\frac{1}{3}}}{x^{-\frac{4}{7}}}$ using only positive exponents.

Simplify: $4 \sqrt{48} \times \sqrt{98}$ .

Simplify: $\sqrt{50}+2 \sqrt{98}$

Simplify $\sqrt{18} \times 2 \sqrt{98}$ .

Simplify: $\sqrt{54} \times 4 \sqrt{48}$

Simplify the expression: $\sqrt{32} \times 2 \sqrt{50}$ .

Evaluate $\cot \frac{\pi}{3}$ using special right triangles. Simplify your answer with integers or fractions.

Find the value of $\tan \frac{\pi}{8} \cot \frac{3 \pi}{8} - \sec \frac{\pi}{8} \csc \frac{3 \pi}{8}$ .

Rewrite $\cos \left(90^{\circ}-\theta\right) \cot \theta$ using one of the six trigonometric functions of angle $\theta$ . $\cos \left(90^{\circ}-\theta\right) \cot \theta=$

Combine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

Simplify the expression $x + 5y + 3x$ .

Simplify the expression $-2x - 3y + 4x + 5yi$ .

Simplify the expression: $-2 x + (-3 y) - (-4 x) + 5 y$ .

Simplify the expression: $-3 x(-2 y - 5 z + 3 z)$ .

Evaluate the expression using special right triangles: $\frac{\csc ^{2} 45^{\circ}+\tan ^{2} 60^{\circ}}{\cot ^{2} 30^{\circ}}$ Simplify your answer with integers or fractions.

Evaluate the expression using special right triangles:
$\frac{\sec ^{2} \frac{\pi}{3}+\tan ^{2} \frac{\pi}{4}}{\cot ^{2} \frac{\pi}{6}}=$
Simplify your answer, including radicals.

Find the value of $\sec \frac{\pi}{12} \csc \frac{5 \pi}{12}-\tan \frac{\pi}{12} \cot \frac{5 \pi}{12}$ .

Rewrite the expression $\frac{\sin ^{2} \theta+\cot ^{2} \theta+\cos ^{2} \theta}{\csc \theta}$ using basic trig identities.

Find the equivalent polynomial for $(-3 n+1)^{2}$ . Options: -9 n^{2}-6 n+1, -9 n^{2}+1, 9 n^{2}-6 n+1, 9 n^{2}+1.

Simplify the expression: $3x + 3x$ .

Solve for $x$ : $3(9x - 8) + 15x = 0$ .

Simplify the expression: $4(-3 x^{2}+5 x) - (3 x - 3 x^{2})$

Simplify the expression: $3(9x - 8) + 15x$ .

Simplify $5(2x - 3) - 8x$

Simplify $3(4 x^{2}+2 x)+2(5 x^{2}+x)$ .

Calculate $576 - 14.8 \div 8$ . What is the result?

Calculate $76 - 14.8 \div 8$ .

Simplify the expression: $y=\cos ^{2} x+\sin ^{2} x+1$ .

Expand and simplify the expression: $(3x + 7)(x + 5)$ into a trinomial.

Rewrite the polynomial $x^{2}+9+\frac{x}{6}$ in standard form.

Simplify $3^{4}$ .

Simplify $7 \cdot 6 \cdot 2 h d$ . Options: $48 d h$ , $84 dh$ , $42 + 2 h + d$ .

Calculate the value of $\frac{2(-12)-\sqrt{4}}{33}$ .

Factor the expression: $(x^{2}-x+4)(x-5)$ .

Simplify the expressions: $7.5+n+9.63$ , $n+17.13$ , $17.13 n$ , and $7.5 n+9.63$ .

Simplify the expression $7.95 - 3.86 + n$ .

Calculate the value of $\frac{.1123 \times .1087 \times .1139 \times .1112 \times .1189}{5}$ .

Calculate the value of $2 *(3+7)-1$ .

Calculate the expression: $2^{3}+6 \div 2 * 2+8$

Calculate $6^{2} \div 3 a - 2 b + 4$ for $a=3$ and $b=4$ .

Simplify $\frac{-4^{6} \cdot 4^{3}}{4^{4}}$ .

Simplify this expression without a calculator: $\frac{\cos 45 \cdot \sin 315 + 2 \tan 120 \cdot \cos 60}{2 \sin 240 \cdot \cos 300}$

Simplify $\frac{-4^{6} 4^{23}}{4^{4}}$

Simplify $\frac{-40_{0} y^{2}}{4}$ .

Find the equivalent expression for $(5 x+2)+(4 x-3)$ . Choices: A. $6 x+2$ , B. $7 x+1$ , C. $9 x-1$ , D. $11 x-3$ , E. $20 x-6$ .

Simplify the expression $\frac{-4^{6} \cdot 4^{2}}{4^{4}}$ .

Find $g(f(x))$ given $f(x)=\frac{1}{2x+6}$ and $g(x)=\frac{4}{x}-3$ . Simplify fully, no decimals.

Find the equivalent expression for $\sqrt{200}$ from the options: A. $2 \sqrt{10}$ B. $10 \sqrt{2}$ C. $100 \sqrt{2}$ D. $2 \sqrt{100}$ .

Simplify: $4^{2}+8 \div 2$ . Choices: 12, 20, 8, 16.

Simplify the expression $\frac{\sqrt{84}}{2 \sqrt{3}}$ to its simplest radical form.

Simplify the expression: $\frac{\cos (160-x)}{\tan (90+x) \sin (180+x)}$ using reduction formulas.

Rationalize the denominator of $\frac{5}{\sqrt{3}-1}$ .

Simplify the expression $\sqrt{90} \cdot \sqrt{40}-\sqrt{8} \cdot \sqrt{18}$ . What is the result? A. 22.9 B. 48 C. 864 D. 3,456

Expand $(4 x-5)(6 x+5)$ into a trinomial form.

Factor completely: $5 x^{3}-20 x^{2}-60 x$

Convert $7.83 \times 10^{7}$ to standard form.

Find the difference quotient of $f(x)=x^{2}+4$ : calculate $\frac{f(x+h)-f(x)}{h}$ , $h \neq 0$ , and simplify.

Calculate $\left[\frac{45.82 \mathrm{~g}}{(3.0 \mathrm{~cm})^{3}}-\frac{0.64 \mathrm{~g}}{(0.859 \mathrm{~cm})^{3}}\right] \div 2$ .

Simplify the expression: $\frac{8+8+2}{1^{5}}$ and choose the correct answer. A. $\frac{8+8+2}{1^{5}}=$ B. Undefined.

Simplify the expression: $\frac{3(8-6)+2}{2^{2}-2}$ . Choose A or B if it's undefined.

Calculate $\frac{3}{2} \div 0.08 \div 0.35$ .

Calculate the expression: $(-10) - 1 + (-46)$ .

Multiply the fractions: $\frac{10}{4} \cdot \frac{9}{5}$ . What is the simplified fraction?