Exam 11: Quadratic Equations and Functions

Solve. -Shelly can cut a lawn with a riding mower in 2 hours less time than it takes William to cut the lawn with a push mower. If they can cut the lawn in 3 hours working together find how long to the nearest tenth of an hour it takes for William to cut the lawn alone.

(Multiple Choice)

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Question 181

Match the function with its graph. - $f ( x ) = x ^ { 2 } + 4 x$

(Multiple Choice)

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Question 182

Use the square root property to solve the equation. - $( x + 9 ) ^ { 2 } = 12$

(Multiple Choice)

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Question 183

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=(x+5)^{2}-4$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=(x+5)^{2}-4$

(Multiple Choice)

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Question 184

Given the accompanying graph of y = f(x), sketch the graph of the following. - $y=f(x)-2$ $y = f ( x )$

(Multiple Choice)

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Question 185

Match the function with its graph. - $f ( x ) = - x ^ { 2 } - 4 x$

(Multiple Choice)

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Question 186

Solve. -A rocket is launched from the top of a cliff that is 80 feet high with an initial velocity of 80 feet per second. The height, $\mathrm { h } ( \mathrm { t } )$ , of the rocket after $\mathrm { t }$ seconds is given by the equation $\mathrm { h } ( \mathrm { t } ) = - 16 \mathrm { t } ^ { 2 } + 80 \mathrm { t } + 80$ . How long after the rocket is launched will it strike the ground? Round to the nearest tenth of a second, if necessary.

(Multiple Choice)

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Question 187

Use the quadratic formula to solve the equation. - $( x + 3 ) ( x - 10 ) = 7$

(Multiple Choice)

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Question 188

Solve. -The product of a number and 7 less than the number is 144 . Find the number.

(Multiple Choice)

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Question 189

Solve. - $x ^ { - 2 } - x ^ { - 1 } - 30 = 0$

(Multiple Choice)

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Question 190

Solve. - $x ^ { 4 } - 50 x ^ { 2 } + 49 = 0$

(Multiple Choice)

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Question 191

Find all numbers that satisfy the following. -The sum of 9 times a number and the reciprocal of the number is positive. Find the numbers.

(Multiple Choice)

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Question 192

Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - $f(x)=-2 x^{2}-8 x$ $Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x)=-2 x^{2}-8 x$

(Multiple Choice)

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Question 193

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - $x ^ { 2 } + \frac { 1 } { 3 } x +$ ____

(Multiple Choice)

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Question 194

Use the discriminant to determine the number and type of solutions of the equation. - $4 x ^ { 2 } + 4 x + 1 = 0$

(Multiple Choice)

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Question 195

Solve. - $32 x = \sqrt { 1 - 48 x }$

(Multiple Choice)

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Question 196

Use the square root property to solve the equation. - $4 x ^ { 2 } - 52 = 0$

(Multiple Choice)

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Question 197

Solve. -A car traveled 243 miles on a trip. During 63 miles of the trip, the car traveled through the city and had gas mileage that was 9 fewer miles per gallon than the gas mileage on the highway. If the total Amount of gasoline used for the trip was 9 gallons, find the gas mileage of the car on the highway.

(Multiple Choice)

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Question 198

Solve the equation. - $\frac { 7 } { x - 5 } + \frac { x } { x + 5 } = \frac { 42 } { x ^ { 2 } - 25 }$

(Multiple Choice)

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Question 199

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $\frac { 3 } { 5 x - 3 } > 0$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 3 } { 5 x - 3 } > 0$

(Multiple Choice)

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Question 200

Showing 181 - 200 of 242

Solve. -Shelly can cut a lawn with a riding mower in 2 hours less time than it takes William to cut the lawn with a push mower. If they can cut the lawn in 3 hours working together find how long to the nearest tenth of an hour it takes for William to cut the lawn alone.

Match the function with its graph. - $f ( x ) = x ^ { 2 } + 4 x$

Use the square root property to solve the equation. - $( x + 9 ) ^ { 2 } = 12$

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=(x+5)^{2}-4$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=(x+5)^{2}-4$

Given the accompanying graph of y = f(x), sketch the graph of the following. - $y=f(x)-2$ $y = f ( x )$

Match the function with its graph. - $f ( x ) = - x ^ { 2 } - 4 x$

Use the quadratic formula to solve the equation. - $( x + 3 ) ( x - 10 ) = 7$

Solve. -The product of a number and 7 less than the number is 144 . Find the number.

Solve. - $x ^ { - 2 } - x ^ { - 1 } - 30 = 0$

Solve. - $x ^ { 4 } - 50 x ^ { 2 } + 49 = 0$

Find all numbers that satisfy the following. -The sum of 9 times a number and the reciprocal of the number is positive. Find the numbers.

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - $x ^ { 2 } + \frac { 1 } { 3 } x +$ ____

Use the discriminant to determine the number and type of solutions of the equation. - $4 x ^ { 2 } + 4 x + 1 = 0$

Solve. - $32 x = \sqrt { 1 - 48 x }$

Use the square root property to solve the equation. - $4 x ^ { 2 } - 52 = 0$

Solve the equation. - $\frac { 7 } { x - 5 } + \frac { x } { x + 5 } = \frac { 42 } { x ^ { 2 } - 25 }$

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $\frac { 3 } { 5 x - 3 } > 0$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 3 } { 5 x - 3 } > 0$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 11: Quadratic Equations and Functions

Solve. -Shelly can cut a lawn with a riding mower in 2 hours less time than it takes William to cut the lawn with a push mower. If they can cut the lawn in 3 hours working together find how long to the nearest tenth of an hour it takes for William to cut the lawn alone.

Match the function with its graph. - f(x)=x2+4xf ( x ) = x ^ { 2 } + 4 xf(x)=x2+4x

Use the square root property to solve the equation. - (x+9)2=12( x + 9 ) ^ { 2 } = 12(x+9)2=12

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=(x+5)2−4f(x)=(x+5)^{2}-4f(x)=(x+5)2−4

Given the accompanying graph of y = f(x), sketch the graph of the following. - y=f(x)−2y=f(x)-2y=f(x)−2 y=f(x)y = f ( x )y=f(x)

Match the function with its graph. - f(x)=−x2−4xf ( x ) = - x ^ { 2 } - 4 xf(x)=−x2−4x

Use the quadratic formula to solve the equation. - (x+3)(x−10)=7( x + 3 ) ( x - 10 ) = 7(x+3)(x−10)=7

Solve. -The product of a number and 7 less than the number is 144 . Find the number.

Solve. - x−2−x−1−30=0x ^ { - 2 } - x ^ { - 1 } - 30 = 0x−2−x−1−30=0

Solve. - x4−50x2+49=0x ^ { 4 } - 50 x ^ { 2 } + 49 = 0x4−50x2+49=0

Find all numbers that satisfy the following. -The sum of 9 times a number and the reciprocal of the number is positive. Find the numbers.

Sketch the graph of the quadratic function by finding the vertex, intercepts, and determining if the graph opens upward or downward. - f(x)=−2x2−8xf(x)=-2 x^{2}-8 xf(x)=−2x2−8x

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - x2+13x+x ^ { 2 } + \frac { 1 } { 3 } x +x2+31​x+ ____

Use the discriminant to determine the number and type of solutions of the equation. - 4x2+4x+1=04 x ^ { 2 } + 4 x + 1 = 04x2+4x+1=0

Solve. - 32x=1−48x32 x = \sqrt { 1 - 48 x }32x=1−48x​

Use the square root property to solve the equation. - 4x2−52=04 x ^ { 2 } - 52 = 04x2−52=0

Solve the equation. - 7x−5+xx+5=42x2−25\frac { 7 } { x - 5 } + \frac { x } { x + 5 } = \frac { 42 } { x ^ { 2 } - 25 }x−57​+x+5x​=x2−2542​

Solve the inequality. Graph the solution set and write the solution set in interval notation. - 35x−3>0\frac { 3 } { 5 x - 3 } > 05x−33​>0

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Match the function with its graph. - $f ( x ) = x ^ { 2 } + 4 x$

Use the square root property to solve the equation. - $( x + 9 ) ^ { 2 } = 12$

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f(x)=(x+5)^{2}-4$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=(x+5)^{2}-4$

Given the accompanying graph of y = f(x), sketch the graph of the following. - $y=f(x)-2$ $y = f ( x )$

Match the function with its graph. - $f ( x ) = - x ^ { 2 } - 4 x$

Use the quadratic formula to solve the equation. - $( x + 3 ) ( x - 10 ) = 7$

Solve. - $x ^ { - 2 } - x ^ { - 1 } - 30 = 0$

Solve. - $x ^ { 4 } - 50 x ^ { 2 } + 49 = 0$

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the trinomial. - $x ^ { 2 } + \frac { 1 } { 3 } x +$ ____

Use the discriminant to determine the number and type of solutions of the equation. - $4 x ^ { 2 } + 4 x + 1 = 0$

Solve. - $32 x = \sqrt { 1 - 48 x }$

Use the square root property to solve the equation. - $4 x ^ { 2 } - 52 = 0$

Solve the equation. - $\frac { 7 } { x - 5 } + \frac { x } { x + 5 } = \frac { 42 } { x ^ { 2 } - 25 }$

Solve the inequality. Graph the solution set and write the solution set in interval notation. - $\frac { 3 } { 5 x - 3 } > 0$ $Solve the inequality. Graph the solution set and write the solution set in interval notation. - \frac { 3 } { 5 x - 3 } > 0$