Question 1

What is the equation of the line that passes through the points (2, 3) and (4, 7)?

Accepted Answer

Answer

Answer

Answer

Question 2

What is the equation of a line that is perpendicular to

y = \frac{1}{2}x + 3

and passes through the point (6, -2)?

Accepted Answer

Answer

Answer

Answer

Question 3

What is the equation of the line that passes through the point (5, -2) and is parallel to the line

y = \frac{1}{2}x + 3

?

Accepted Answer

Answer

Answer

Answer

Question 4

If a variable y varies directly with x and x = 8 when y = 48, what will be the value of x when y = 72?

Accepted Answer

12

Answer

15

Answer

9

Answer

10

Question 5

Solve the system of equations:

y = \frac{1}{2}x + 3

and

4x - y = 11

.

Accepted Answer

x = 2, y = -1

Answer

x = 3, y = 0

Answer

x = 1, y = 1

Answer

x = 0, y = 2

Question 6

What is the solution to the system of equations:

y = \frac{1}{2}x + 3

and

4x - y = 11

?

Accepted Answer

x = 1, y = 3

Answer

x = 0, y = 4

Answer

x = 3, y = 1

Answer

x = 2, y = 2

Question 7

Determine the solution of the system:

y = \frac{1}{2}x + 3

and

4x - y = 11

.

Accepted Answer

x = 1, y = 5

Answer

x = 0, y = 9

Answer

x = -1, y = 4

Answer

x = 2, y = 3

Question 8

Which of the following graphs represents the solution to the inequality

y = \frac{1}{2}x + 3

?

Accepted Answer

A graph of the line

y = \frac{1}{2}x + 3

with shading above the line

Answer

A graph of the line

y = \frac{1}{2}x + 3

with shading above the line

Answer

A graph of the line

y = \frac{1}{2}x + 3

with shading above the line

Answer

A graph of the line

y = \frac{1}{2}x + 3

with shading below the line

Question 9

What is the correct inequality for the shaded region below the line

y = \frac{1}{2}x + 3

?

Accepted Answer

Answer

Answer

Answer

Question 10

If a graph features the line

y = \frac{1}{2}x + 3

with shading above the line, what inequality does it represent?

Accepted Answer

Answer

Answer

Answer

Question 11

Which region represents the solution set for the system of inequalities

y = \frac{1}{2}x + 3

and

4x - y = 11

?

Accepted Answer

The region above the line

y = \frac{1}{2}x + 3

and below the line

4x - y = 11

Answer

The region below the line

y = \frac{1}{2}x + 3

and above the line

4x - y = 11

Answer

The region below both lines

y = \frac{1}{2}x + 3

and

4x - y = 11

Answer

The region above both lines

y = \frac{1}{2}x + 3

and

4x - y = 11

Question 12

Which region describes the solution to the system of inequalities

y = \frac{1}{2}x + 3

and

4x - y = 11

?

Accepted Answer

The region below the line

y = \frac{1}{2}x + 3

and above the line

4x - y = 11

Answer

The region above both lines

y = \frac{1}{2}x + 3

and

4x - y = 11

Answer

The region below both lines

y = \frac{1}{2}x + 3

and

4x - y = 11

Answer

The region above the line

y = \frac{1}{2}x + 3

and below the line

4x - y = 11

Question 13

If the graph of the function

y = \frac{1}{2}x + 3

is translated 3 units up, what is the equation of the new graph?

Accepted Answer

Answer

Answer

Answer

Question 14

How does the transformation

y = \frac{1}{2}x + 3

affect the graph of

4x - y = 11

?

Accepted Answer

It translates the graph 2 units to the right.

Answer

It translates the graph 2 units up.

Answer

It reflects the graph over the y-axis.

Answer

It translates the graph 2 units to the left.

Question 15

For the function

y = \frac{1}{2}x + 3

, what are the x-intercepts of the graph?

Accepted Answer

The x-intercepts are at

y = \frac{1}{2}x + 3

and

4x - y = 11

.

Answer

The x-intercepts are at

y = \frac{1}{2}x + 3

and

4x - y = 11

.

Answer

The x-intercept is at

y = \frac{1}{2}x + 3

.

Answer

The x-intercepts are at

y = \frac{1}{2}x + 3

and

4x - y = 11

.

Question 16

If a graph of a quadratic function is given, which of the following statements is true about its vertex?

Accepted Answer

The vertex is either the maximum or minimum point on the graph.

Answer

The vertex is the midpoint of the y-axis.

Answer

The vertex is always a turning point with no significance.

Answer

The vertex is always located on the x-axis.

Question 17

What does the intercept of a graph represent?

Accepted Answer

The point where the graph crosses the axes.

Answer

The slope of the graph.

Answer

The average value of the function.

Answer

The highest point on the graph.

Question 18

What transformation is applied to the graph of

y = \frac{1}{2}x + 3

to obtain

4x - y = 11

?

Accepted Answer

The graph is translated 4 units to the right.

Answer

The graph is translated 4 units to the left.

Answer

The graph is translated 4 units up.

Answer

The graph is translated 4 units down.

Question 19

Consider the graph of the function

y = \frac{1}{2}x + 3

. What is the range of this function?

Accepted Answer

y ≥ 3

Answer

x ≥ 3

Answer

x ≤ 3

Answer

y ≤ 3

Question 20

What is the range of the function

y = \frac{1}{2}x + 3

?

Accepted Answer

y ≤ 6

Answer

y ≥ 6

Answer

x ≤ 6

Answer

x ≥ -6

Question 21

What is the purpose of the y-intercept in a graph?

Accepted Answer

It indicates the value of y when x is zero

Answer

It represents the slope of the line

Answer

It denotes the coordinate of the highest point

Answer

It shows the maximum value of y

Question 22

What is the function of an axis of symmetry in a graph?

Accepted Answer

It divides the graph into two mirror-image halves

Answer

It represents the maximum value of the graph

Answer

It indicates the slope of the graph

Answer

It shows where the graph crosses the y-axis

Question 23

Given the function

y = \frac{1}{2}x + 3

, evaluate

4x - y = 11

.

Accepted Answer

0

Answer

6

Answer

3

Answer

1

Question 24

Find the value of

y = \frac{1}{2}x + 3

at

4x - y = 11

.

Accepted Answer

-5

Answer

5

Answer

9

Answer

0

Question 25

Evaluate the function

y = \frac{1}{2}x + 3

for

4x - y = 11

.

Accepted Answer

-8

Answer

0

Answer

8

Answer

4

Question 26

Find the value of

y = \frac{1}{2}x + 3

if

4x - y = 11

.

Accepted Answer

11

Answer

-17

Answer

-9

Answer

5

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