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Which system of linear inequalities has the point (2, 1) in its solution set?

y less-than negative x + 3. y less-than-or-equal-to one-half x + 3

y less-than negative one-half x + 3. y less-than one-half x.

Option

y less-than one-half x. y less-than-or-equal-to negative one-half x + 2

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The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

–19

–9

Which graph shows the solution to the system of inequalities below?

mc019-2.jpg

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Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)

(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)

{–12, 2}

{–2, 12}

A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities? x + y ≤ 50x ≥ 20

Option

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

Option

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1

f(x) = 8x – 6

f(x) = 4x – 14

f(x) = 4x – 10

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

0 = –3x – 5 + x2

0 = x – 3 – 5x2

0 = 3x – 5 – x2

0 = –3x + 5 – x2

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

The graph of g(x) is a translation of f(x) 2 units left.

The graph of g(x) is a translation of f(x) 2 units right.

The graph of g(x) is a translation of f(x) 2 units up.

The graph of g(x) is a translation of f(x) 2 units down.

What are the domain and range of f(x) = 2(3x)?

domain: ; range:

Solve x2 + 12x = –11 by completing the square. Which is the solution set of the equation?

{–11, –1}

{–11, 1}

{11, –1}

{11, 1}

The constraints of a problem are listed below. What are the vertices of the feasible region?

(0, 0), (0, 0.5), (0, 2), (3, 0)

(0, 0), (0, 2), (1.5, 1), (3, 0)

(0, 0), (0, 0.5), (1.5, 1), (3, 0)

(0, 0), (0, 0.5), (1, 1.5), (3, 0)

Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?

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Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

Option

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

5 units up

5 units down

5 units right

5 units left

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

As the x-values go to positive infinity, the function's values go to negative infinity.

As the x-values go to zero, the function's values go to positive infinity.

As the x-values go to negative infinity, the function's values are equal to zero.

As the x-values go to negative infinity, the function's values go to positive infinity.

A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

zero

undefined

negative

positive

The first few steps in deriving the quadratic formula are shown.

The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.

The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.

The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.

Which of the following is the graph of ?

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).

On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

F(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).

F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, ∞).

F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).

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