Answers RVACR Reading Common Core Algebra IQuantitative Reasoning

Quantitative Reasoning — Cumulative exam Answers

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Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, and what was the rate?

Suzanne’s at 2 inches per week

Suzanne’s at 1.5 inches per week

Megan’s at 3 inches per week

Megan’s at 2.5 inches per week

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A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

{x | x = –5, –3, 1, 2, 6}

{y | y = –9, –6, 0, 2, 4}

{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}

{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).

(–4, 2)

(–1, 4)

(1, 3)

(2, –3)

Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

–21

–4

Which statements apply to the ratio of rice and water? Choose two options.

The amount of rice is the dependent value.

The amount of water is the dependent value.

The amount of rice is the independent value.

The amount of water is the independent value.

The values cannot be labeled as dependent or independent without a given equation.

The table shows the height of the tree that Margo planted over an 11-month period.

The tree increased in height each month during the entire 11-month period.

The tree decreased in height each month during the entire 11-month period.

The tree increased in height each month until the time period between month 9 and month 11.

The tree decreased in height each month until the time period between month 9 and month 11.

The table represents the amount of storage space, in megabytes, used by music files on Zayd’s computer.

As the number of files remains constant, the storage space used decreases.

As the number of files remains constant, the storage space used increases.

As the number of files increases, the storage space used decreases.

As the number of files increases, the storage space used increases.

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).

all real numbers

all real numbers greater than or equal to 0

all real numbers greater than or equal to 1

all real numbers greater than or equal to 2

The table represents a linear equation.

y – 8 = –0.15(x – 10)

y + 8 = –0.15(x – 10)

y – 8 = –0.2(x + 10)

y + 8 = –0.2(x – 10)

The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.What is the cost of a pizza with 5 toppings? Round to the nearest penny.

$19.00

$22.75

$43.75

$70.00

Which graph shows a set of ordered pairs that represents a function?

On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).

On a coordinate plane, solid circles appear at the following points: (negative 5, 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1).

The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?

It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

It is linear because the function is continuous.

It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.

It is nonlinear because the price tag and final cost columns do not have the same common difference.

The table shows the number of songs that were downloaded and the total cost for buying the songs.

2 songs for $1

$2 per song

4 songs for $1

$4 per song

Question text not available

Option

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. Who had a head start, and how many miles was the head start?

Rita had a 28-mile head start.

Roger had a 26-mile head start.

Roger had a 25-mile head start.

Rita had a 22-mile head start.

Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

–5

–2

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

y = x – 12

y = x – 4

y = x + 2

y = x + 6

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

x – 4y = 8

x – 4y = 2

4x – y = 8

4x – y = 2

Elena agrees to finish a knitting project for a friend. The graph shows the number of rows Elena completes compared to the amount of time spent knitting.

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=. What is the value of b?

−6

−5

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Quantitative Reasoning — Cumulative exam Answers

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