Answers NHS Algebra Integrated Math II Semester 1 CRUnit Test

Unit Test — Unit test Answers

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A sequence is defined by the recursive formula f(n + 1) = 1.5f(n). Which sequence could be generated using the formula?

–12, –18, –27, ...

–20, 30, –45, ...

–18, –16.5, –15, ...

–16, –17.5, –19, ...

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What is the solution to this system of linear equations?7x – 2y = –68x + y = 3

(–6, 3)

(0, 3)

(1, –5)

(15, –1)

Which ordered pair makes both inequalities true?y –x + 4

(4,0)

(1,2)

(0,4)

(2,1)

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)

f(n + 1) = (0.5)f(n)

f(n + 1) = f(0.5n)

f(n + 1) = f(–0.5n)

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.

(0, 2)

(2, 0)

(1, −2)

(−2, 1)

The system of equations can be solved using linear combination to eliminate one of the variables.2x − y = −4→10x − 5y = −203x + 5y = 59→3x + 5y = 59 13x = 39Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?

2x – y = –4

10x – 5y = –20

7x = 39

13x = 39

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?

The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.

The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.

The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.

The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.

Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12

-2

Option

Which graph represents a function with direct variation?

Option

Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar per loaf of bread and 0.75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4.5 cups of sugar available for baking.

2 loaves of bread and 4 batches of muffins

3 loaves of bread and 3 batches of muffins

4 loaves of bread and 2 batches of muffins

5 loaves of bread and 1 batch of muffins

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.x + y = 243x + 5y = 100What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.

The test contains 10 three-point questions and 14 five-point questions.

The test contains 14 three-point questions and 10 five-point questions.

The test contains 20 three-point questions and 8 five-point questions.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

y > x – 2 and x – 2y < 4

y > x + 2 and x + 2y < 4

y > x – 2 and x + 2y < 4

y > x – 2 and x + 2y < –4

Which best describes the relationship between the successive terms in the sequence shown?2.4, –4.8, 9.6, –19.2

The common difference is –7.2.

The common difference is –2.4.

The common ratio is –2.0.

The common ratio is –0.5.

What is the solution to the system of equations?y = –5x + 3y = 1

(0.4, 1)

(0.8, 1)

(1, 0.4)

(1, 0.8)

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian spent a total of $26.50. The book costs can be represented by the system of equations below. h + p = 251.50h + 0.50p = 26.50

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?

b = –a

–b = –a

b – a = 0

b(–a) = 0

What is the value of y in the solution to the system of equations?x + y = 12x – 3y = –30

–8

–3

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.