Cumulative Exam — Cumulative exam Answers

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Which rules of exponents will be used to evaluate this expression? Select three options.

Question illustration
A
fractional exponent
B
quotient of powers
C
power of a power
D
power of a product
E
negative exponent
F
zero exponent
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Which equation is true?

A
9x2 – 25 = (3x – 5)(3x – 5)
B
9x2 – 25 = (3x – 5)(3x + 5)
C
9x2 – 25 = –(3x + 5)(3x + 5)
D
9x2 – 25 = –(3x + 5)(3x – 5)
43

A quadratic equation has a discriminant of 12. Which could be the equation?

A
0 = –x2 + 8x + 2
B
0 = 2x2 + 6x + 3
C
0 = –x2 + 4x + 1
D
0 = 4x2 + 2x + 1
44

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches.

A
x2 + 4x – 81 = 0
B
x2 + 4x – 65 = 0
C
x2 + 8x – 65 = 0
D
x2 + 8x – 81 = 0
45

Tempestt graphs a function that has a maximum located at (–4, 2). Which could be her graph?

A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex at (negative 4, 2), and goes through (negative 2, 6).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (2, 6), has a vertex at (4, 2), and goes through (6, 6).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 2), has a vertex at (negative 4, 2), and goes through (negative 2, negative 2).
Option C
D
On a coordinate plane, a parabola opens down. It goes through (2, negative 2), has a vertex at (4, 2), and goes through (6, negative 2).
Option D
46

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

A
6(4a2 – 3)
B
6(8a2 – 9)
C
6a(12a – 9)
D
6a(18a – 12)
47

What are the solution(s) to the quadratic equation 9x2 = 4?

A
x = and x =
Option A
B
x = and x =
Option B
C
x = and x =
Option C
D
no real solution
48

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?Quadratic formula: x =

Question illustration
A
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Option A
B
x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Option B
C
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(6) EndRoot Over 2(3) EndFraction
Option C
D
x = StartFraction negative 2 plus or minus StartRoot 2 squared minus 4 (3)(6) EndRoot Over 2(3) EndFraction
Option D
49

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?Discriminant = b2-4ac

A
0
B
1
C
2
D
24
50

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

A
(a+2)
B
(a+5)
C
(a−2)
D
(a−5)

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