Answers JHS-Algebra 1A full yearZero and Negative Exponents

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Which is the simplified form of ?

StartFraction 1 Over p EndFraction

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Which point is located at (5, –2)?

point A

point B

point C

point D

A line passes through the points (–2, –8) and (–4, –8). Which shows the graph of this line?

On a coordinate plane, a vertical line is at x = negative 2.

On a coordinate plane, a horizontal line is at y = negative 2.

On a coordinate plane, a vertical line is at x = negative 8.

On a coordinate plane, a horizontal line is at y = negative 8.

Over which interval are the exponential and linear function approximately the same?

from 0.25 to 0.5

from 0.5 to 0.75

from 0.75 to 1.0

from 1.25 to 1.5

Which function represents exponential decay?

f(x) =

f(x) = 4

A line of best fit is drawn for the set of points shown on the graph.

(23, 30)

(30, 38)

(44, 30)

(30, 72)

Consider the linear function that is represented by the equation and the linear function that is represented by the equation . Which statement is correct regarding their slopes and y-intercepts?

The function that is represented by the equation has a steeper slope and a greater y-intercept.

The function that is represented by the equation has a steeper slope, and the function that is represented by the equation has a greater y-intercept.

The function that is represented by the equation has a steeper slope and a greater y-intercept.

Which of the following best describes how the y values are changing over each interval?xy122438416532

They are increasing by 2 each time.

They are increasing by 4 each time.

They are being multiplied by 2 each time.

They are being multiplied by 4 each time.

Which equation represents the linear function that is shown on the graph below?

y = one-half x + 4

y = one-half x minus 2

y = 4 x minus 2

y = negative 2 x + 4

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.

The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.

The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.

The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.

What is the value of x in the equation , when y = 3?

x = 6

x = 7

x = 8

x = 9

Mrs. Jackson gives the table below to her students.

a = 22 because the rate of change is 1.

a = 20 because the rate of change is 3.

a = 22 because the rate of change is –1.

a = 20 because the rate of change is –3.

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

y – 1 = 6x

y – 1 = 3x

y – 7 = 2x – 6

y – 7 = x – 2

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

Plan A will be worth more than plan B after two years.

Plan A will be worth the same amount as plan B after one year.

Plan B will be worth more than plan A after three years.

Plan B will be worth more than plan A after four years.

Which table represents a linear function?

Option

A coordinate plane with a line passing through the points (0, negative 1, 0) and (4, 0).

x – 4y = 4

x + 4y = 4

y = x – 1

y = –x – 1

Which linear function has the same y-intercept as the one that is represented by the graph?

y = 2 x minus 4

y = 2 x minus 3

y = 2 x + 3

y = 2 x + 4

Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

–15

–9

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)

At a glance, Kendra believes that the function represented on the graph is linear.

She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.

She can check to see if the sum of each y-value and x-value in every ordered pair is the same.

She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.

She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

A line has a slope of and passes through the point (–5, 4). Which is the equation of the line?

y = negative three-fourths x + one-fourth

y = negative three-fourths x + 4

y = negative three-fourths x minus 2

y = negative three-fourths x minus one-fourth

The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.Prime factorization of 48: 2 x 2 x 2 x 2 x 3Prime factorization of 72: 2 x 2 x 2 x 3 x 3The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3 What is Ryan’s error?

Ryan did not add the common prime factors to get the greatest common factor.

Ryan did not list all the factors in the prime factorization of 48.

Ryan did not list all the factors in the prime factorization of 72.

Ryan did not include only common prime factors in the greatest common factor.

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

negative StartFraction 5 Over 2 EndFraction

negative StartFraction 2 Over 5 EndFraction

StartFraction 2 Over 5 EndFraction

StartFraction 5 Over 2 EndFraction

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