Answers Common Core Math II B 20222023 RLHSCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

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Which is the solution of the quadratic equation (4y – 3)2 = 72?

y = and y =

y = and y =

y = and y =

y = and y =

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

–19

–9

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

6h3

12h2

30h4

48h5

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

The graph of which function has a minimum located at (4, –3)?

f(x) = x2 + 4x – 11

f(x) = –2x2 + 16x – 35

f(x) = x2 – 4x + 5

f(x) = 2x2 – 16x + 35

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.What is the approximate probability that exactly three of the cards are diamonds?

11%

44%

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

The axis of symmetry should be x = –1.

The axis of symmetry should be x = 2.

The vertex should be a maximum.

The vertex should be (–2, 1).

A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent.What is the probability that a student chooses drama as an elective?

5 percent

7 percent

33 percent

37 percent

Solve for in the equation .

x = –16 or x = 2

x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot

x = –2 or x = 16

x = 7 plus-or-minus 3 StartRoot 7 EndRoot

Which graph shows a rate of change of between –4 and 0 on the x-axis?

On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).

On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).

On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

(0,0)

(0,4)

(–4,0)

(2,0)

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Three-halves

Nine-fourths

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

The sum of P(A) and P(B) is less than P(A or B).

The product of P(A) and P(B) is less than P(A or B).

The product of P(A) and P(B) is not equal to P(A or B).

The sum of P(A) and P(B) is not equal to P(A or B).

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

f(x) = (x + 1)2 + 2

f(x) = (x – 1)2 + 2

f(x) = 2(x + 1)2 + 2

f(x) = 2(x – 1)2 + 2

What is the solution to the inequality ?

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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.