AFDA Q1 Benchmark Review

What is the x-intercept of the linear function shown?

• (2, 0)

• (0, 2)

• (-2, 0)

• (0, 0)

Answer explanation

The x-intercept of a linear function is the point where the line crosses the x-axis. At this point, the y-coordinate is always zero. By looking at the given options, we see that the correct answer is (2, 0) as it's the only option where the y-coordinate is zero.

A part of a line is shown. What is the x-intercept of this line?

hint: keep following the slope/pattern of the line until you reach the x-axis

• (-1, 0)

• (1, 0)

• (3, 0)

• (0, 0)

Answer explanation

The x-intercept of a line is the point at which the line crosses the x-axis. At this point, the y-coordinate is always zero. By observing the options, we see that the point (3, 0) is the x-intercept of the line. This is because its y-coordinate is zero and it is on the x-axis. This makes it the correct answer to the question.

What is the value of the range when the domain is 2?

• 2

• 4

• -2

• 0

Answer explanation

The question is asking about the value of the range when the domain is 2. In this context, the 'range' usually refers to the output of a function for a given input or 'domain'. The correct answer is '4', which means that when the domain is 2, the range or output value of the function is 4.

Tags

CCSS.HSF.IF.A.2

Find the slope of the line passing through the points (2, 3) and (4, 7).

• 2

• 4

• 1

• 3

Answer explanation

The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula (y2-y1)/(x2-x1). Applying this formula to the points (2, 3) and (4, 7) gives us (7-3)/(4-2) = 2. Therefore, the correct answer is 2.

Tags

CCSS.8.EE.B.5

Which of the following is the equation of the line with slope 2 and y-intercept -3?

• y = 2x - 3

• y = -2x + 3

• y = 2x + 3

• y = -2x - 3

Answer explanation

The question asks for the equation of the line with a slope of 2 and a y-intercept of -3. The equation of a line is generally given by y = mx + c, where m is the slope and c is the y-intercept. Therefore, the correct equation would be 'y = 2x - 3' as this equation has a slope of 2 (m=2) and a y-intercept of -3 (c=-3).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the slope of the line passing through the points (-1, 5) and (3, 9).

• 1

• -1

• 4

• -4

Answer explanation

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula (y₂ - y₁) / (x₂ - x₁). In this case, substituting the given points (-1, 5) and (3, 9) into this formula gives us (9 - 5) / (3 - (-1)) = 4 / 4 = 1. Hence, the correct answer is 1.

Tags

CCSS.8.EE.B.5

The slope of any horizontal line is ___

Answer explanation

The slope of a line is defined as the change in y over the change in x. For a horizontal line, there is no change in y, no matter how much x changes. Therefore, the slope of any horizontal line is 0, which is the correct option.

Tags

CCSS.8.EE.B.5

Find the slope of the graphed line segment.

• 3

• 1/3

• -1/3

• -3

Answer explanation

The slope of a line segment is calculated by the rise over run method. In this case, the line segment moves down (negative rise) and to the right (positive run), indicating a negative slope. Among the given options, -1/3 is the correct choice which represents the slope of the graphed line segment.

Tags

CCSS.8.EE.B.5

Solve the system of equations.

• (-6, 7)

• all real numbers

• no solution

• (6, -7)

Answer explanation

The solution to the system of equations is (6, -7). This means when solving, both equations intersect at this point. The other options, (-6, 7) and 'all real numbers', do not satisfy the given system, while 'no solution' implies no intersection point.

Tags

CCSS.8.EE.C.8B

Solve the system of equations.

• (1, 2)

• (-1, 2)

• no solution

• all real numbers

Tags

CCSS.8.EE.C.8B