Unit Test — Unit test Answers

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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.

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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

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

y – 6 = 2(x – 10)

y – 2 = (x – 10)

y – 3 = (x – 2)

y – 3 = 2(x – 10)

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

Which equation represents a line that passes through (2, –) and has a slope of 3?

y – 2 = 3(x + )

y – 3 = 2(x + )

y + = 3(x – 2)

y + = 2(x – 3)

A coordinate plane with a line passing through (0, negative 5) and (3, 0).

3x + y = –5

x + 3y = –5

3x – 5y = –15

5x – 3y = 15

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

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

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 graph shows the amount of money Miguel earns after working x hours.

hours per dollar

3 dollars per hour

13 dollars per hour

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 shows the graph of x – 4y =–4?

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

A coordinate plane with a line passing through (negative 4, negative 2), (0, negative 1) and (4, 0).

A coordinate plane with a line passing through (negative 2, negative 4), (negative 1, 0) and (0, 4).

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

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.

A grocery bag contains x apples, each weighing of a pound, and y pounds of grapes. The total weight of the grocery bag is less than 5 pounds. Which graph represents the possible numbers of apples and pounds of grapes that can be in the bag?

Option

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Unit Test — Unit test Answers

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