Unit Test — Unit test Answers

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1
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WXYZ is a trapezoid with WX ≅ YZ.

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A
3 units
B
4 units
C
5 units
D
6 units
2
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ABCD is a square.

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A
30°
B
45°
C
60°
D
90°
3

Which graph shows the solution to the equation below?

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A
On a coordinate plane, 2 curves intersect at (1, 0).
Option A
B
On a coordinate plane, a line intersects with a curve.
Option B
C
On a coordinate plane, a line with positive slope and a curve are shown.
Option C
D
On a coordinate plane, 2 hyperbolas are shown.
Option D
4

Which of the following shows the graph of y = 4x + 3?

A
On a coordinate plane, an exponential function starts at y = 3 in quadrant 2 and then increases rapidly into quadrant 1.
Option A
B
On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly in quadrant 2.
Option B
C
On a coordinate plane, an exponential function starts at y = 0 in quadrant 2 and then increases rapidly into quadrant 1.
Option C
D
On a coordinate plane, an exponential function starts at y = negative 3 in quadrant 3 and then increases rapidly into quadrant 1.
Option D
5

For what value of x does ?

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A
–9
B
–3
C
3
D
9
6

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

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A
3 inches
B
6 inches
C
12 inches
D
18 inches
7

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

A
3 cm
B
4 cm
C
6 cm
D
7 cm
8

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3.

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A
1 unit
B
2 units
C
4 units
D
6 units
9

What is the solution to the equation below?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What is the true solution to the equation below?

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A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
11

For what value of n does ?

Question illustration
A
–3
B
Negative three-halves
Option B
C
Three-halves
Option C
D
3
12

Which function is shown in the graph below?

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A
y = (one-half) Superscript x + 3 Baseline minus 1
Option A
B
y = (one-half) Superscript x minus 3 Baseline + 1
Option B
C
y = (one-half) Superscript x minus 1 Baseline + 3
Option C
D
y = (one-half) Superscript x + 1 Baseline minus 3
Option D
13

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A
10.6 cm
B
14.0 cm
C
15.0 cm
D
19.8 cm
14

What is the approximate value of ?

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A
0.233
B
0.557
C
0.620
D
1.796
15

What is the solution of log2 (3x - 7) = 3?

A
One-third
Option A
B
4
C
5
D
Sixteen-thirds
Option D
16

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

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A
–1.5
B
–0.5
C
1.5
D
3.6
17

What is the value of ?

Question illustration
A
–4
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
4
18

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. They form line segments A G, B E, and C F.

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A
BE, CF, and AG are angle bisectors.
B
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
C
BE bisects AC, CF bisects AB, and AG bisects BC.
D
BE is a perpendicular bisector of AC, CF is a perpendicular bisector of AB, and AG is a perpendicular bisector of BC.
19

If , what is the value of s?

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A
–1
B
0
C
1
D
no solution
20

If the equation below is solved by graphing, which statement is true?

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A
The curves intersect at approximately x = 0.46.
B
The curves intersect at approximately x = 0.75.
C
The curves intersect at approximately x = 1.11.
D
The curves intersect at approximately x = 3.07.

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