RANDOM MATH STUFF

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?

6 + 2(x + 4) =1/2 (3 - x)

A piecewise function is represented by the graph below. What is the domain for the piece of the function represented by f(x) = x + 1?

x > 1

Which compound inequality could be represented by the graph?

x ≤ 3 or x ≥ -1

Which linear inequality is represented by the graph?

y < 2/3x - 1

Which linear inequality is represented by the graph?

y < −2x + 3

The graph of the piecewise function is shown. What is the range of f(x)?

{ f(x)| -∞ < f(x) ≤ 4}

Brenton's weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)?

{h| 0 ≤ h ≤ 60}

The graph of the piecewise function f(x) is shown. What is the domain of f(x)?

{x | 1 < or equal to x < 5}

The graph of the piecewise function f(x) is shown. What is the range of f(x)?

{y | −5 ≤ y ≤ −1}

What is the solution to 3|-3x + 9| = -18?

no solution

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Check all that apply.

$8 $14 $15

Lukas graphed the system of equations shown. 2x + 3y = 2 y = 1/2x + 3 What is the solution to the system of equations?

(-2, 2)

What is the solution to the system of equations? y = 5x + 2 3x = -y + 10

(1, 7)

Which point is a solution to the linear inequality y < -1/2x + 2?

(3, -2)

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5. Which solution can be used to fill in both blanks in the table?

(6, 7)

The piecewise function h(x) is shown on the graph. What is the value of h(3)?

1

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

1/15(10h + 60) =1/10 (10h)

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

1/4(x + 30 + 60) = x

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?

12 < x ≤ 12.2

The solid graph is a vertical translation of f(x) =3√x . How many units up was the graph of f(x) =3√x shifted to form the translation?

2

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p? Check all that apply.

2.3p - 10.1 = 6.49p - 4 230p - 1010 = 650p - 400 - p

What is the x-value of the solution to the system of equations? 5x + 4y = 8 2x − 3y = 17

4

Which value is in the domain of f(x)? f(x) = 2x+5 etc.

4

A system of inequalities is graphed on the coordinate grid. Which symbol could be written in both circles in order to represent this system algebraically? y O x y O-x

<

What is the value of p in the linear equation 24p + 12 - 18p = 10 + 2p - 6?

P=-2

The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x + 5y > 80. If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?

Sydney must have answered at least 8 questions correctly in the second section of the test.

Which shows the graph of the solution set of 2x - y > 5?

The First One

Which graph represents the solution to the system of inequalities? 2x - y ≥ 3 x + 2y < 4

The Third

Which statement is true of the function f(x) =-₃√x ? Check all that apply.

The function has a domain of all real numbers. The function has a range of {y|-∞ < y < ∞}. The function is a reflection of y = ³√x

Which statements describe the graph of y =3√x−1+2 ? Check all that apply

The graph has a domain of all real numbers. The graph has a y-intercept at (0, 1). The graph has an x-intercept at (-7, 0).

Which description of the graph of the linear equality y > 3x - 8 is correct?

The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.

Which statements are true about the graph of the system of linear inequalities? Check all that apply. y > 3x - 4 y ≤1/2x + 1

The graphs of the inequalities will intersect. The area above y > 3x - 4 is shaded.

The graph of g(x) is shown. Which statements describe the domain and range of g(x)? Check all that apply.

The maximum value of the range is 4. The range of g(x) is {y| -1 < y ≤ 4}.

Which statements about the system are true? Check all that apply. y = 1/3x - 4 3y - x = -7

The system consists of parallel lines. Both lines have the same slope.

The graph shows the function g(x) for a restricted domain. Which is the function g(x) for a restricted domain?

g(x)=³√x+4 ; x≥4

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

h + c ≤ 100 3h + 3.5c ≥ 80

The graph of h(x) is a translation of f(x)=3√x . Which equation represents h(x)?

h(x)=³√x+2

How many solutions exist for the given equation? 3(x + 10) + 6 = 3(x + 12)

infinitely many

Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

x + 30 = 10 and x + 30 = -10

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?

x - 4.9 = 0.3 and x - 4.9 = -0.3

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan's town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x - 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

x - 55 = 4.2

Which compound inequality is represented by the graph?

x < -4 or x ≥ 3

Solve the equation. -x + 8 + 3x = x - 6

x = -14