Question 1

Which of the following best describes the graph of the equation $$y = x$$?

Accepted Answer

A straight line passing through the origin with a slope of $$1$$

Question 2

Given the graph of $$y = -x$$, which quadrant does the line pass through?

Accepted Answer

Quadrants II and IV

Question 3

Which equation represents a circle centered at the origin with radius $$r$$?

Accepted Answer

$$x^2$$ + $$y^2$$ = $$r^2$$

Question 4

If a point $$(3, -2) is $$plotted on the Cartesian plane, in which quadrant does it lie?

Accepted Answer

Quadrant IV

Question 5

Which of the following is the correct graph for the equation $$y = 2x + 1$$?

Accepted Answer

A line with slope $$2$$ and $$y-$$intercept $$1$$

Question 6

What is the solution set for the inequality $$x \u003e 3 on a $$number line?

Accepted Answer

All points to the right of $$x = 3$$, not including $$x = 3$$

Question 7

Which of the following graphs represents the solution to the system: $$y \u003e x$$ and $$y \u003c 2x$$?

Accepted Answer

The region above the line $$y = x$$ and below the line $$y = 2x$$

Question 8

If the graph of $$y = x^2$ is shifted 3 units up, what is the new equation?

Accepted Answer

$$y = x^2$ + 3$$

Question 9

Which of the following describes the graph of $$y = |x|$$?

Accepted Answer

A V-shaped graph opening upwards

Question 10

Given the system of inequalities $$x + y \leq 4$$ and $$x - y \geq 2$$, which region is shaded?

Accepted Answer

The region below $$x + y = 4$$ and above $$x - y = 2$$

Question 11

What is the $$y-$$intercept of the line $$3x - 2y = 6$$?

Accepted Answer

$$y = 3$$

Question 12

Which equation represents a vertical line passing through $$x = -2$$?

Accepted Answer

$$x = -2$$

Question 13

If the solution to an inequality is $$x \leq 5$$, how is this represented on a number line?

Accepted Answer

A shaded region to the left of $$x = 5$$, including $$x = 5$$

Question 14

Which of the following is the correct graph for $$y = -2x + 4$$?

Accepted Answer

A line with slope $$-2$$ and $$y-$$intercept $$4$$

Question 15

Which of the following equations represents a parabola opening downwards?

Accepted Answer

$$y = -x^2$

Question 16

If the graph of $$y = x^2$ is reflected over the x$-axis, what is the new equation?

Accepted Answer

$$y = -x^2$

Question 17

Which of the following best describes the solution to $$x^2$$ + $$y^2$$ \u003c 9$$?

Accepted Answer

The interior of a circle centered at the origin with radius $$3$$

Question 18

Which equation represents a line with slope $$0$$?

Accepted Answer

$$y = c$$, where $$c is a $$constant

Question 19

If the solution to a system of inequalities is a shaded region above $$y = x$$ and below $$y = 2x$$, which system is represented?

Accepted Answer

$$y \u003e x$$ and $$y \u003c 2x$$

Question 20

Which of the following is the correct graph for the solution set $$x^2$$ + $$y^2$$ \geq 16$$?

Accepted Answer

The region outside a circle centered at the origin with radius $$4$$

Exam 4

스터디 가이드 - 연습 문제