Unit Test — Unit test Answers

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Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is the area of the original square. What was the side length of the original square?A = s2

1 in.

2 in.

6 in.

12 in.

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Use completing the square to solve for in the equation .

x = –1 or 15

x = 1 or 7

x = 4 plus-or-minus StartRoot 41 EndRoot

x = 4 plus-or-minus StartRoot 73 EndRoot

Which equation is the inverse of y = 9x2 – 4?

y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction

y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot

y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction

y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds

A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan?A = lw

10.4 in.

13.9 in.

18 in. ✓ Correct

24 in.

Solve for in the equation .

x = negative 4 plus-or-minus StartRoot 37 EndRoot i

x = –4 ± 5i

x = 4 plus-or-minus StartRoot 37 EndRoot i

x = 4 ± 5i

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

3 < t < 4

t < 4

t > 4

3 > t > 4

Which values of x and y would make the following expression represent a real number?(4 + 5i)(x + yi)

x = 4, y = 5

x = –4, y = 0

x = 4, y = –5

x = 0, y = 5

In which quadrant is the number 6 – 8i located on the complex plane?

III

Which equation represents a graph with a vertex at (–3, 2)?

y = 4x2 + 24x + 38

y = 4x2 – 24x + 38

y = 4x2 + 12x + 2

y = 4x2 + 16x + 13

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

The discriminant is less than 0, so there are two real roots.

The discriminant is greater than 0, so there are two real roots.

The discriminant is less than 0, so there are two complex roots.

The discriminant is greater than 0, so there are two complex roots.

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Option

Which function is a quadratic function?

a(x) = –2x3 + 2x – 6

b(x) = 5x3 + 8x2 + 3

c(x) = –8x2 + 3x – 5

d(x) = 6x4 + 2x – 3

The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Which statement must be true?

The circle has a radius greater than 7.

The circle has a radius equal to 7.

The slope of the line is equal to 7.

The slope of the line is not equal to 7.

The vertex of a parabola that opens downward is at (0, 4). The vertex of a second parabola is at (0, –4). If the parabolas intersect at two points, which statement must be true?

The second parabola opens downward.

The second parabola opens upward.

The points of intersection are on the x-axis.

The points of intersection are of equal distance from the y-axis.

What is the domain of the function ?

x greater-than-or-equal-to negative 5

x greater-than-or-equal-to 2

x greater-than-or-equal-to 5

x greater-than-or-equal-to 10

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