Answers NHS Algebra Integrated Math II Semester 1 CRUnit Test

Unit Test Answers

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What is the value of x in the equation ?

StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.

StartFraction one-half EndFraction left-parenthesis n minus 4 right-parenthesis minus 3 equals 3 minus left-parenthesis 2 n plus 3 right-parenthesis.

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Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

5x + 3y = 18

5x – 3y = 30

5x – y = 30

5x + y = 18

The table represents a linear function.

–3

–2

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

negative StartFraction 4 Over 3 EndFraction

negative StartFraction 3 Over 4 EndFraction

StartFraction 3 Over 4 EndFraction

StartFraction 4 Over 3 EndFraction

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

y = –x + 9

y = –x + 5

y = –3x – 11y

y = –3x + 25

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

0.2 inches

4.5 inches

46.1 inches

414.7 inches

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

It is linear because the graph decreases over time.

It is linear because there is both an independent and a dependent variable.

It is nonlinear because linear functions are increasing functions.

It is nonlinear because linear functions increase or decrease at the same rate.

The tables represent the functions f(x) and g(x).

x = –3

x = –1

x = 0

x = 1

Which input value produces the same output value for the two functions on the graph?

x = –3

x = –1

x = 1

x = 3

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

h = (– b)÷ r

h = – b ÷ r

h = ÷ r – b

h = ÷ r

What is the solution to the linear equation?6k + 10.5 = 3k + 12

k = 0.5

k = 2

k = 7.3

k = 9

The table shows the profit from a school book fair based on the number of books sold.

$0.50 per book

$0.67 per book

$1.07 per book

$1.50 per book

What is the solution to the linear equation? + p = + p

p = 1

p = 2

p = 8

p = 10

What is the value of n in the equation ?

n = 0

n = 2

n = 4

n = 6

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

f(x) = 2.25x + 5

f(x) = 5x + 2.25

f(x) = 2.25x − 5

f(x) = 5x − 2.25

What is the slope of the line represented by the equation f(t)=2t−6?

The slope is 2 and the y-intercept is −6.

The slope is −6 and the y-intercept is 2.

The slope is 2 and the y-intercept is 6.

The slope is 6 and the y-intercept is 2.

What is the y-intercept of the function f(x)=4 – 5x?

–5

–4

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

10°F

20°F

122°F

132°F

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

The equation has one solution: x = 0.

The equation has one solution: x = 8.

The equation has no solution.

The equation has infinite solutions.

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

y = a · πx

y = a + (πx)

y = a – πx

y = a ÷ (πx)

The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

−3

Option

Fiona solved the equation shown. – (6x – 3) = –

Simplify by combining like terms.

Simplify by using addition property of equality.

Simplify by using the multiplication property of equality.

Simplify by using the division property of equality.

Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).

c(x) = 5.50 + 20.50x

c(x) = 5.50x + 20.50

c(x) = 5.50 + 21.60x

c(x) = 5.50x + 21.60

Which of these values could be the slope of the line? Select two options.

–2

Option

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