Answers NHS Algebra Integrated Math II Semester 1 CRUnit Test

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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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A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?

12 ≤ x + y

12 ≥ x + y

12 ≤ 2x + 3y

12 ≥ 2x + 3y

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

(–6, 3)

(0, 3)

(1, –5)

(15, –1)

What is the solution to this system of linear equations?x + y = 4x − y = 6

(4, 6)

(6, 4)

(5, −1)

(−1, 5)

Which ordered pair makes both inequalities true?y < 3x – 1y > –x + 4

(4,0)

(1,2)

(0,4)

(2,1)

A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

Option

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.

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

4.9

9.8

10.2

19.6

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

Which ordered pair is in the solution set of the system of linear inequalities?y > x – 1y < x – 1

(–5, 2)

(2, 2)

(5, 2)

no solution

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

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?First equation: 4x − 3y = 34Second equation: 3x + 2y = 17

The first equation should be multiplied by 2 and the second equation by 3.

The first equation should be multiplied by 2 and the second equation by −3.

The first equation should be multiplied by 3 and the second equation by 4.

The first equation should be multiplied by 3 and the second equation by −4.

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

A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).

(5, 0)

(0, 5)

(0, –5)

(–5, 0)

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.

y < x + 3

y > x + 3

y < x + 3

Two linear equations are shown.

(7, 4)

(7, StartFraction 13 over 3 EndFraction)

(8, StartFraction 14 over 3 EndFraction)

(9, 7)

y=5x – 1–15x – 3y=3

one solution: (0, –1)

one solution: (1, 4)

no solution

infinite number of solutions

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –2.

Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.

Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.

Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point. If x is the number of solved puzzles and y is the number of solved riddles, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below the line is shaded.

On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above the line is shaded.

On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the left of the line is shaded.

On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded.

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?

x + y < 12

x + y > 12

x + y ≤ 12

x + y ≥ 12

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Everything below and to the right of the line is shaded.

y ≤ x – 1.3

y ≤ x –

y ≥ x –

y ≥ x – 1.3

What is the solution to this system of linear equations?3x – 2y = 14 5x + y = 32

(3, 5)

(6, 2)

(8, –1)

(14, –18)

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2y > x + 1 (–1, 3)(0, 2) (1, 2)(2, –1)(2, 2)

(–1, 3)

(0, 2)

(1, 2)

(2, –1)

(2, 2)

The graph represents the cost of a subscription to a newspaper.

$1.50

$7.50

$15.00

$30.00

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