A) To the left; wider B) To the right; narrower C) To the left; narrower D) To the right; wider A) To the left; wider B) To the right; narrower C) To the left; narrower D) To the right; wider

Exam 9: Quadratic Equations, Inequalities, and Functions

Tell what restrictions, if any, must be made on $k, 1$ , and $p$ (all real numbers) to guarantee that $\mathrm{g}$ is a real number. Assume that the denominator is not zero. $\mathrm{g}=\frac{\mathrm{kl}}{\mathrm{p}^{2}}$

(Short Answer)

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Question 321

Solve the equation. - $(7+\sqrt{x}) l^{2}-14(7+\sqrt{x})+10=0$

(Multiple Choice)

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Question 322

Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient a of $x^{2}$ should be positive or negative. - $Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient a of x^{2} should be positive or negative. -$

(Multiple Choice)

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Question 323

If the trinomial $a x^{2}+b x+c$ is a perfect square, what can we conclude about the equation $a x^{2}+b x+c=0 ?$

(Multiple Choice)

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Question 324

Solve $S=\frac{1}{2} \pi r^{2}+(r+5) h$ for $r$ .

(Multiple Choice)

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Question 325

Choose the one alternative that best completes the statement or answers the question. Identify which graph matches the equation. - $f(x)=(x+2)^{2}-4$

(Multiple Choice)

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Question 326

Choose the one alternative that best completes the statement or answers the question. Use the quadratic formula to solve the equation. (All solutions are real numbers.) - $\mathrm{a}^{2}+14 \mathrm{a}+40=0$

(Multiple Choice)

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(42)

Question 327

Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient a of $x^{2}$ should be positive or negative. - $Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient a of x^{2} should be positive or negative. -$

(Multiple Choice)

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Question 328

$f(x)=x^{2}+4 x+17$

(Multiple Choice)

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Question 329

$x=-3 y^{2}-10 y$

(Multiple Choice)

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Question 330

Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it. - $2 k^{2}=7 \mathrm{k}-8$

(Multiple Choice)

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(29)

Question 331

Graph the parabola. - $f(x)=x^{2}-2 x-2$ $Graph the parabola. - f(x)=x^{2}-2 x-2$

(Multiple Choice)

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(36)

Question 332

Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate. -A parking lot measures $100 \mathrm{ft}$ by $150 \mathrm{ft}$ . A sidewalk of uniform width is to completely surround the lot. If the sidewalk can cover $1016 \mathrm{ft}^{2}$ , how wide will the sidewalk be?

(Multiple Choice)

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Question 333

$\frac{\mathrm{k}}{3-\mathrm{k}}-\frac{6}{\mathrm{k}}=3$

(Multiple Choice)

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Question 334

Identify the vertex of the given parabola. - $f(x)=x^{2}-2$

(Multiple Choice)

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Question 335

Use the graph of a quadratic function to find the solution set of the equation or inequality. -

(Multiple Choice)

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Question 336

Solve by any method. - $39 \mathrm{~m}^{2}+96 \mathrm{~m}+55=0$

(Multiple Choice)

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Question 337

Solve by using the quadratic formula. - $4 m^{2}+10 m+2=0$

(Multiple Choice)

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(33)

Question 338

Sketch the graph of the parabola. - $y=2 x^{2}$ $Sketch the graph of the parabola. - y=2 x^{2}$

(Multiple Choice)

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Question 339

Showing 321 - 339 of 339

Tell what restrictions, if any, must be made on $k, 1$ , and $p$ (all real numbers) to guarantee that $\mathrm{g}$ is a real number. Assume that the denominator is not zero. $\mathrm{g}=\frac{\mathrm{kl}}{\mathrm{p}^{2}}$

Solve the equation. - $(7+\sqrt{x}) l^{2}-14(7+\sqrt{x})+10=0$

If the trinomial $a x^{2}+b x+c$ is a perfect square, what can we conclude about the equation $a x^{2}+b x+c=0 ?$

Solve $S=\frac{1}{2} \pi r^{2}+(r+5) h$ for $r$ .

Choose the one alternative that best completes the statement or answers the question. Identify which graph matches the equation. - $f(x)=(x+2)^{2}-4$

Choose the one alternative that best completes the statement or answers the question. Use the quadratic formula to solve the equation. (All solutions are real numbers.) - $\mathrm{a}^{2}+14 \mathrm{a}+40=0$

$f(x)=x^{2}+4 x+17$

$x=-3 y^{2}-10 y$

Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it. - $2 k^{2}=7 \mathrm{k}-8$

Graph the parabola. - $f(x)=x^{2}-2 x-2$ $Graph the parabola. - f(x)=x^{2}-2 x-2$

Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate. -A parking lot measures $100 \mathrm{ft}$ by $150 \mathrm{ft}$ . A sidewalk of uniform width is to completely surround the lot. If the sidewalk can cover $1016 \mathrm{ft}^{2}$ , how wide will the sidewalk be?

$\frac{\mathrm{k}}{3-\mathrm{k}}-\frac{6}{\mathrm{k}}=3$

Identify the vertex of the given parabola. - $f(x)=x^{2}-2$

Use the graph of a quadratic function to find the solution set of the equation or inequality. -

Solve by any method. - $39 \mathrm{~m}^{2}+96 \mathrm{~m}+55=0$

Solve by using the quadratic formula. - $4 m^{2}+10 m+2=0$

Sketch the graph of the parabola. - $y=2 x^{2}$ $Sketch the graph of the parabola. - y=2 x^{2}$

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 9: Quadratic Equations, Inequalities, and Functions

Tell what restrictions, if any, must be made on k,1k, 1k,1 , and ppp (all real numbers) to guarantee that g\mathrm{g}g is a real number. Assume that the denominator is not zero. g=klp2\mathrm{g}=\frac{\mathrm{kl}}{\mathrm{p}^{2}}g=p2kl​

Solve the equation. - (7+x)l2−14(7+x)+10=0(7+\sqrt{x}) l^{2}-14(7+\sqrt{x})+10=0(7+x​)l2−14(7+x​)+10=0

Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient a of x2x^{2}x2 should be positive or negative. -

If the trinomial ax2+bx+ca x^{2}+b x+cax2+bx+c is a perfect square, what can we conclude about the equation ax2+bx+c=0?a x^{2}+b x+c=0 ?ax2+bx+c=0?

Solve S=12πr2+(r+5)hS=\frac{1}{2} \pi r^{2}+(r+5) hS=21​πr2+(r+5)h for rrr .

Choose the one alternative that best completes the statement or answers the question. Identify which graph matches the equation. - f(x)=(x+2)2−4f(x)=(x+2)^{2}-4f(x)=(x+2)2−4

Choose the one alternative that best completes the statement or answers the question. Use the quadratic formula to solve the equation. (All solutions are real numbers.) - a2+14a+40=0\mathrm{a}^{2}+14 \mathrm{a}+40=0a2+14a+40=0

Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient a of x2x^{2}x2 should be positive or negative. -

f(x)=x2+4x+17f(x)=x^{2}+4 x+17f(x)=x2+4x+17

x=−3y2−10yx=-3 y^{2}-10 yx=−3y2−10y

Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it. - 2k2=7k−82 k^{2}=7 \mathrm{k}-82k2=7k−8

Graph the parabola. - f(x)=x2−2x−2f(x)=x^{2}-2 x-2f(x)=x2−2x−2

k3−k−6k=3\frac{\mathrm{k}}{3-\mathrm{k}}-\frac{6}{\mathrm{k}}=33−kk​−k6​=3

Identify the vertex of the given parabola. - f(x)=x2−2f(x)=x^{2}-2f(x)=x2−2

Use the graph of a quadratic function to find the solution set of the equation or inequality. -

Solve by any method. - 39 m2+96 m+55=039 \mathrm{~m}^{2}+96 \mathrm{~m}+55=039 m2+96 m+55=0

Solve by using the quadratic formula. - 4m2+10m+2=04 m^{2}+10 m+2=04m2+10m+2=0

Sketch the graph of the parabola. - y=2x2y=2 x^{2}y=2x2

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Tell what restrictions, if any, must be made on $k, 1$ , and $p$ (all real numbers) to guarantee that $\mathrm{g}$ is a real number. Assume that the denominator is not zero. $\mathrm{g}=\frac{\mathrm{kl}}{\mathrm{p}^{2}}$

Solve the equation. - $(7+\sqrt{x}) l^{2}-14(7+\sqrt{x})+10=0$

If the trinomial $a x^{2}+b x+c$ is a perfect square, what can we conclude about the equation $a x^{2}+b x+c=0 ?$

Solve $S=\frac{1}{2} \pi r^{2}+(r+5) h$ for $r$ .

Choose the one alternative that best completes the statement or answers the question. Identify which graph matches the equation. - $f(x)=(x+2)^{2}-4$

Choose the one alternative that best completes the statement or answers the question. Use the quadratic formula to solve the equation. (All solutions are real numbers.) - $\mathrm{a}^{2}+14 \mathrm{a}+40=0$

$f(x)=x^{2}+4 x+17$

$x=-3 y^{2}-10 y$

Use the discriminant to determine if the equation can be solved by factoring. If the equation can be solved by factoring, then factor it. - $2 k^{2}=7 \mathrm{k}-8$

Graph the parabola. - $f(x)=x^{2}-2 x-2$ $Graph the parabola. - f(x)=x^{2}-2 x-2$

$\frac{\mathrm{k}}{3-\mathrm{k}}-\frac{6}{\mathrm{k}}=3$

Identify the vertex of the given parabola. - $f(x)=x^{2}-2$

Solve by any method. - $39 \mathrm{~m}^{2}+96 \mathrm{~m}+55=0$

Solve by using the quadratic formula. - $4 m^{2}+10 m+2=0$

Sketch the graph of the parabola. - $y=2 x^{2}$ $Sketch the graph of the parabola. - y=2 x^{2}$