Answers SSCR 26 Math Essentials BUnit Test

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What is a solution to (x + 6)(x + 2) = 60?

x = −6

x = −4

x = 4

x = 12

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Which is the graph of ?

Option

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

–5

The explicit rule for an arithmetic sequence is What is the value of the 47th term? Round to the nearest tenth, if necessary.

–55.7

–26.4

45.6

65.8

Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.

sample more families

sample families that have children who are not in seventh grade

sample families that regularly use the pool

sample families whose answer to the survey question is predetermined

sample families living in every third house in the neighborhood

Which function represents exponential growth?

f(x) = 3x

f(x) = x3

f(x) = x + 3

f(x) = 3x

What is the explicit formula for the arithmetic sequence ?

mc017-2.jpg

mc017-3.jpg

mc017-4.jpg

mc017-5.jpg

What is the missing value in the following arithmetic sequence?n12345an23.85.6 9.2

7.1

7.2

7.4

7.5

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10

a = 42, b = 5, c = 28, d = 33, e = 10

a = 5, b = 42, c = 28, d = 10, e = 33

a = 5, b = 10, c = 28, d = 33, e = 42

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A whole number constant could have been added to the exponential expression.

A whole number constant could have been subtracted from the exponential expression.

A whole number constant could have been added to the exponent.

A whole number constant could have been subtracted from the exponent.

A child’s toy harp is in the shape of a trapezoid as shown.In square inches, what is the area of the harp?

Answer not available

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

–2.75

0.25

1.75

2.25

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters, and the length of the path is 5 meters more than the width.

0.5(x)(x + 5) = 29

0.5(x)(x + 5) = 841

x2 + (x + 5)2 = 29

x2 + (x + 5)2 = 841

Layla is determining the area of the trapezoid. Her work is shown below. Step 1: Break the figure into rectangles and triangles. Step 2: Find the area of the rectangle: .Step 3: Find the area of the triangle: .Step 4: Add the areas together: square feet.Which best describes Layla’s error?

The height of the triangle in Step 1 should be 4 ft.

The area of the triangle in Step 3 should be .

The area of the triangle is Step 3 should be halved because there is only one triangle.

The areas in Step 4 should be multiplied instead of added.

A circular rug has a radius of 4.5 feet. What is the circumference of the rug? Use 3.14 for and round to the hundredths place.

14.13

28.26

44.37

88.74

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

It increases the mean value of the prizes.

It decreases the mean value of the prizes.

It increases the median value of the prizes.

It decreases the median value of the prizes.

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

Triangle QRS is an equilateral triangle because QR = RS.

Triangle QRS is an isosceles triangle because QR = QS.

Triangle QRS is a scalene triangle because all sides have different lengths.

Triangle QRS is an isosceles triangle because QR = RS.

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.f(x) = f(x) = f(x) = 5f(x) = 5(5)xf(x) = 5(5)–x

f(x) =

f(x) = 5

f(x) = 5(5)x

f(x) = 5(5)–x

Point A has an x coordinate of −2 and lies in a circle with a center at (0, 0) and a radius of 5.

4.5

4.6

4.7

4.8

Which statements about the function are true? Select three options.

The vertex of the function is at (–4,–15).

The vertex of the function is at (–3,–16).

The graph is increasing on the interval x > –3.

The graph is positive only on the intervals where x < –7 and wherex > 1.

The graph is negative on the interval x < –4.

Which is the graph of f(x) = 2(3)x?

Option

How is the volume of a prism calculated?

add the area of the base to the height

subtract the area of the base from the height

multiply the area of the base by the height

divide the area of the base by the height

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

y = 7,746.90(1.02)x

y = 7,746.90(0.02)x

y = 7,595.96(1.02)x

y = 7,595.96(0.02)x

Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?

Answer not available

Tanisha is graphing the function f(x) = 25()x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

(2, 9)

(2, –10)

(2, 14)

(2, 5)

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