Answers Algebra IUnit Test

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What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

x = – and x = +

x = – and x = +

x = – and x = +

x = – and x = +

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Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?Quadratic formula: x =

1.39

2.00

2.89

3.50

Zacharias is using the quadratic formula to solve the equation 0 = –2x2 + 5x – 3. He begins by substituting as shown.Quadratic formula: x = Substitution:

The –5 should be 5.

The 52 should be –52.

The 2 in the numerator should be –2.

The 2 in the denominator should be –2.

Tables of values for two different functions are given below. Which statement is true?

The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.

The right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.

The right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.

The right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

8 by 5

10 by 4

11 by 9

13 by 7

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

(4 minus StartRoot 19 EndRoot comma 4 + StartRoot 19 EndRoot)

(4 minus StartRoot 11 EndRoot comma 4 + StartRoot 11 EndRoot)

(4 minus StartRoot 8 EndRoot comma 4 + StartRoot 8 EndRoot)

(4 minus StartRoot 3 EndRoot comma 4 + StartRoot 3 EndRoot)

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

(negative 6 minus StartRoot 51 EndRoot comma negative 6 + StartRoot 51 EndRoot)

(negative 6 minus StartRoot 21 EndRoot comma negative 6 + StartRoot 21 EndRoot)

(6 minus StartRoot 51 EndRoot comma 6 + StartRoot 51 EndRoot)

(6 minus StartRoot 21 EndRoot comma 6 + StartRoot 21 EndRoot)

Which of the following describes the growth rate of the exponential function in the graph below?

For each x increase of 1, the y increases by a common difference of 3.

For each x increase of 1, the y increases by a common factor of 3.

For each x increase of 1, the y increases by 4 more than the previous increase.

For each x increase of 1, the y increases by doubling and then adding 1.

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

x2 + x = 42

x2 + 2x = 42

x2 + x + 42 = 0

x2 + 2x + 42 = 0

What is the solution to 2x2+8x=x2-16?

x=-4

x=-2

x=2

x=4

Isoke is solving the quadratic equation by completing the square.10x2+40x-13=010x2+40x=13A(x2+4x)=13

-13

Which is a zero of the quadratic function f(x) = 9x2 – 54x – 19?

x =

x = 3

x = 6

x = 9

Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

; each y-value is the previous y-value multiplied by 9.

; each y-value is the previous y-value plus 9 more than was added previously.

; each y-value is the previous y-value plus 9.

; each y-value is the previous y-value multiplied by another 9.

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year

company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year

company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year

company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

x2 + (x – 2)2 = 10

x2 + 2x2 = 10

x2 + (x – 2)2 = 100

x2 + 2x2 = 100

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?Quadratic formula: x =

x =

Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b, and c into the formula. Which is Ramiya’s quadratic equation?Quadratic formula: x =

0 = x2 + 3x + 2

0 = x2 – 3x + 2

0 = 2x2 + 3x + 1

0 = 2x2 – 3x + 1

A linear function and an exponential function are shown below. Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?