Algebra

Use the following quadratic equation to answer the question: 6x2 + 11x + 3.How would you split the first term for placement in each parentheses? 2x and 6x 3x and 3x 6x and x 3x and 2x

3x and 2x

If y varies inversely as x, and the constant of variation is 75, what is y when x = 15? 75 5 None of the above 15

5

Use the following System of Equations to answer the following question: 2x + 5y = 15 -4x + 7y = -13 What is the value of x? -7 5 2 4

5

Given that y and x are directly proportional and y = 2 when x = 5, find the value of y when x = 15. 6 2 3 5

6

Introduction to Indirect Variation If y varies inversely as x, and y = 8b when x = 6a, what is y in terms of a and b when x = 8? 6a 6ab 4ab 8a

6ab

If y is inversely proportional to x, the product of x and y is: A constant Inconsistent Directly Proportional Variable

A constant

a^n = b in words means: b to the nth power is n n to the a power is b a to the nth power is b The nth root of a is b

a to the nth power is b

If y varies inversely with x, and y = 7 when x = 5, write an equation describing the variation: y = 35x 5 = k7 x = 35y 7 = k5

y=35x

Factor: 6x^2 + 11x + 3 (3x + 1)(2x + 3) (2x - 3)(3x - 1) (3x + 2)(2x - 3) No solution

(3x + 1)(2x + 3)

Factor the binomial: x^3 + 2x^2 + 4x + 8 (x + 2)(x^2 + 4) (x + 1)(x2 + 8) Prime (x + 2)(x2 + 2)

(x + 2)(x^2 + 4)

Factor x^2 + 6x + 9 (x + 2)(x - 3) (x + 3)(x + 3) No solution (x + 2)(x + 2)

(x + 3)(x + 3)

Use the following situation to answer the question.A person makes $12 per hour. If the person works 2 hours, $24 is earned.If a person works 8 hours, how much money was earned? $12 $64 $96 $92

$96

Solving systems of 3 Varibles Use the following System of Equations to answer the following questions: x + y + z = 5 2x - 5y + z = -4 z = 0 The complete answer to the system of equations would be written as: (3, 2, 0) No solution Infinite solutions (3, 3, 0)

(3,2,0)

Use the following System of Equations to answer the following question: 2x + 5y = 15 -4x + 7y = -13 What is the value of y? 2 1 -1

1

Use the following situation to answer the question.You travel at an average speed of 5mph to travel 100 miles and it takes 20 hours.How long would it take if the average rate of speed is doubled? 30 hours 20 hours 40 hours 10 hours

10 honors

Applications of Indirect and Direct Variations If y varies inversely as x, and y = 5 when x = 3a, what is y when x = a? 15a 15 5 3a

15

The time (t) in minutes, for a stadium to empty varies directly as the number of spectators (s) and inversely as the number of open exits (e).How long does it take the stadium to empty when there are 36,000 spectators and 24 open exits? (The k value is .012) 18 minutes 36 minutes 80 minutes 15 minutes

18 minutes

Simplifying Radical expressions V The cube root of 8 is: 2 4 6 8

2

Use the following System of Equations to answer the following questions: x + y + z = 5 2x - 5y + z = -4 z = 0 What is the value of y? No solution 2 1 -1

2

If y varies inversely as x, and y = 9 when x = 3a, what is y when x = a? 27a (not 27 3a 81

Idk

Rationalizing denominatiors with conjugates Perfect power factors in the radicand would need to be: None of the above Left alone Always be multiplied by the conjugate Be simplified

Idk

The graph of a straight line represents a: Both A and B Indirect Variation Direct Variation Neither A or B

Idk

The relationship between the rate of travel and the time needed to travel a certain distance is: A constant Both A and C Direct variation Indirect variation

Indirect Variation

What are the solutions to the following system of equations and how would it be classified? y + 2x - 5z = 4 -2y - 4x + 10z = 8 3y + x - 3z = 5 Infinite Solutions; Dependent No solution; Inconsistent (2, 2, 2); Consistent and Dependent (1, 1, 1); Inconsistent and Dependent

No solution; Inconsistent

What is true about a system of equations with three variables that has 1 solution? The planes intersect in the same plane. The planes intersect at one point. The planes intersect perpendicular to each other. The planes have zero points in common.

The planes intersect at one point.

The number of letters (n) which can be typed on a sheet of paper varies inversely as the square of the size (s) of the letters used. The size of the letters used is doubled, what effect does this have on the number of letters that can be typed on the page? Number typed is reduced by 15% Number increased by 25% (not) Number typed is reduced by 20% Number typed is reduced by 25%

idk

Solving Quadratics IV Solve x^2 + 4x - 12 = 0 by completing the square. x = 2 or x = -2 x = 6 or x = -2 x = -6 or x = 2 x = 2 or x = 6

x = -6 or x = 2

Use the quadratic formula to solve 4x^2 + 3x = 8. Round your answers to the nearest tenth. x = -1.1 or x = -1.8 x = 1.1 or x = -1.8 None of the above x = -1.1 or x = 1.8

x = 1.1 or x = -1.8

Solve x^2 + 10x = 24 by completing the square. x = 7 or x = -7 x = -2 or x = -12 x = 2 or x = -12 x = 2 or x = 12

x = 2 or x = -12

Graphing Quadratic Equations Use the following quadratic equation to answer the question: 6x2 + 11x + 3. The correct factoring of 6x2 + 11x + 3 is: (6x + 1)(x + 3) (3x - 1)(2x - 3) (3x + 1)(2x + 3) (6x + 3)(x - 1)

(3x + 1)(2x + 3)

Factor the trinomial: 36n^2 - 12n + 1 (9n - 1)(4n - 1) (6n - 1)^2 (12n - 1)(3n - 1) Prime

(6n - 1)^2

Find the solution for the following system: 2x + 4y - z = 5 5x + 6y = 23 x - 3y = 13 (13, 0, -4) (1, -4, 6) (10, -1, 11) (7, -2, 1)

(7, -2, 1)

Factor the binomial: 64m^2 - 81 (32m - 9)(2m + 9) (16m - 9)(4m + 9) Prime (8m - 9)(8m + 9)

(8m - 9)(8m + 9)

Factor: x^2 + 5x + 6 (x - 3)(x - 2) No solution (x + 2)(x + 3) (x + 2)(x - 3)

(x + 2)(x + 3)

For this question, use the quadratic equation y = x2 - 7x - 30 The correct factoring for y = x2 - 7x - 30 is: (x + 5)(x - 6) (x + 3)(x - 10) (x + 30)(x - 1) (x - 15)(x + 2)

(x + 3)(x - 10)

Factoring all types Factor the trinomial completely: x^2 + 16x + 64 (x + 8)(x + 16) (x + 8)(x + 8) (x + 4)(x + 16) (x + 2)(x + 32)

(x + 8)(x + 8)

Use the following System of Equations to answer the question: y = x - 3 y = 5 - 3x What is the value of y? 1 -1 No solution 2

-1

For this question, use the quadratic equation y = x2 - 7x - 30 The x-intercepts of y = x2 - 7x - 30 is: -3 and -10 -15 and 2 -3 and 10 3 and 10

-3 and 10

Use the following System of Equations to answer the question: y = x - 3 y = 5 - 3x What is the value of x? 1 -1 No solution 2

2

If y varies inversely as x, and y = 8b when x = 10a, what is y in terms of a and b when x = 4? 20 8ab 10a 20ab

20ab

The 6th root of 729 is? 12 6 3 2

3

Use the following System of Equations to answer the following questions :x + y + z = 5 2x - 5y + z = -4 z = 0 What is the value of x? 5 3 2 4

3

Use the following System of Equations to answer the question: y = x - 3 y = 5 - 3x Why might someone choose elimination over substitution? Because the system of equations is not easily graphed. Because the system is already solved for one variable so elimination is best. Because the system of equations is set up to easily cancel the x variable through subtraction. Because the system of equations is set up to easily cancel the y variable through subtraction.

Because the system of equations is set up to easily cancel the y variable through subtraction.

Use the following quadratic equation to answer the question: 6x2 + 11x + 3. What are the signs in each parentheses? One positive and one negative None of the above Both negative Both positive

Both positive

The system of equations in question 4 would be classified as: Inconsistent and Independent Consistent and Inconsistent Consistent and Dependent Consistent and Independent

Consistent and Independent

Use the following System of Equations to answer the following question: 2x + 5y = 15 -4x + 7y = -13 The graph of the system of equations would be classified as: Inconsistent and Independent Consistent and Dependent Consistent and Independent Consistent and Inconsistent

Consistent and Independent

Use the following System of Equations to answer the following questions: x + y + z = 5 2x - 5y + z = -4 z = 0 The graph of the system of equations would be classified as: Consistent and Dependent Consistent and Independent Consistent and Inconsistent Inconsistent and Independent

Consistent and Independent

Use the following System of Equations to answer the question: y = x - 3 y = 5 - 3x The graph of the system of equations would be classified as: Consistent and Inconsistent Consistent and Independent Inconsistent and Independent Consistent and Dependent

Consistent and Independent

The rate of travel and the total distance traveled would be: Consistent and Dependent Variation Indirect Variation Consistent and Dependent Variation Direct Variation

Direct Variation

Use the following situation to answer the question.A person makes $12 per hour. If the person works 2 hours, $24 is earned.What type of variation is described? Both A and C Direct variation A constant Indirect variation

Direct Variation

Use the following System of Equations to answer the following questions: x + y + z = 5 2x - 5y + z = -4 z = 0 What would the best first step be? Use the method of elimination on the x variable. Use the method of elimination on the y variable. Eliminate the z variable into both equation 1 and 2. Graph the three equations and hope for a solution.

Eliminate the z variable into both equation 1 and 2.

Use the following System of Equations to answer the following question: 2x + 5y = 15 -4x + 7y = -13 Which method is best for solving this system of equations? All of the above Substitution Elimination Graphing

Graphing

Factor the binomial completely: x^2 - 90 (x - 9)(x - 10) Prime (x - 9)(x + 10) (x - 3)(x - 30)

Prime

Rational exponents What is the difference between rational exponents and integer exponents? Rational exponents are fractional exponents and integer exponents are whole numbers that can be positive or negative. Integer exponents are always positive while rational exponents are negative and positive. There is no difference. Rational exponents are whole numbers and integer exponents are fractional exponents.

Rational exponents are fractional exponents and integer exponents are whole numbers that can be positive or negative.

Use the following System of Equations to answer the following question: 2x + 5y = 15 -4x + 7y = -13 What can you say about the graphs of each equation? The first equation is a parabola while the second is linear. The equations will form perpendicular lines. Both equations have a positive slope. The first equation has a negative slope while the second equation has a positive slope.

The first equation has a negative slope while the second equation has a positive slope.

For this question, use the quadratic equation y = x2 - 7x - 30The graph of this parabola opens: The parabola opens upward as the leading coefficient is negative. The parabola opens downward as the leading coefficient is negative. The parabola opens upward as the leading coefficient is positive. The parabola opens downward as the leading coefficient is positive.

The parabola opens upward as the leading coefficient is positive.

The best description of the graph of 6x2 + 11x + 3 is: The parabola opens downward as the leading coefficient is positive. The parabola opens upward as the leadiong coefficient is negative. The parabola opens downward as the leading coefficient is negative. The parabola opens upward as the leading coefficient is positive.

The parabola opens upward as the leading coefficient is positive.

The denominator of the fractional exponents is always: The exponent or power The root None of the above The base

The root

The index is found: The large number under the square root sign. The large number in front of the square root sign. The small number cradled just above the "V" of the radical. The small number behind the radical.

The small number cradled just above the "V" of the radical.

Use the following System of Equations to answer the question: y = x - 3 y = 5 - 3x Which method is best for solving this system of equations? All of the above Elimination Substitution Graphing

all of the above

The relationship between the number of pages you read in a book and the number of pages that you have not read is not an inverse variation because: The product of the 2 variables is a constant The sum of the two quantities is a constant The quotient of the two variables is a constant All of the above (not)

idk

Use the following situation to answer the question.You travel at an average speed of 5mph to travel 100 miles and it takes 20 hours.What type of variation is described? Direct (not) Invariable Conjoined Indirect

idk

Use the following situation to answer the question.The number of letters (n) which can be typed on a sheet of paper varies inversely as the square of the size (s) of the letters used.n = s^2 What is the relationship connecting n and s? n = ks2 s = kn2

n=k/s^2

The solution of a system of three linear equations in three variables (x, y, z) is called: Elimination Coordinate Ordered Pair Ordered Triple Substitution Coordinate

ordered triple

The time (t) in minutes, for a stadium to empty varies directly as the number of spectators (s) and inversely as the number of open exits (e).What is the relationship connecting t, s and e? t=ks/e s = tke There is no relationship t = se

t=ks/e

Solve x^2 + 16x = 36 by completing the square. x = -2 or x = 18 x = -2 or x = -18 x = 2 or x = -18 x = 2 or x = 18

x = 2 or x = -18

Use the quadratic formula to solve 2x^2 + x = 10. Round your answers to the nearest tenth. x = -2 or x = -2.5 None of the above x = 2 or x = 2.5 x = 2 or x = -2.5

x = 2 or x = -2.5