MTH 125 – Participation Exercises for Week 5

Name___________________________________ Date: _______________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Choose the graph that matches the equation.

1) y = 2x + 4 1) _______

A)

B)

C)

D)

Find the equation in slope-intercept form of the line satisfying the conditions.

2) m = 2, passes through ( 6, -3) 2) _______

A) y = 2x – 15 B) y = 2x + 14 C) y = 3x + 16 D) y = 2x – 13

3) m = -7, passes through (-9, 4) 3) _______

A) y = -7x – 59 B) y = 7x – 57 C) y = -7x + 66 D) 7x + y = 59

Write the equation in slope-intercept form.

4) 17x + 5y = 7 4) _______

A) y = 17x – 7 B) y = – x + C) y = x – D) y = x +

Find the slope and the y-intercept of the line.

5) 7x + 5y = 48 5) _______

A) Slope – ; y-intercept B) Slope ; y-intercept

C) Slope ; y-intercept D) Slope – ; y-intercept

Find an equation of the line that satisfies the conditions. Write the equation in standard form.

6) Through ( 5, 4); m = – 6) _______

A) 9x + 4y = -56 B) 4x + 9y = -56 C) 4x – 9y = 56 D) 4x + 9y = 56

7) Through ( 0, 3); m = – 7) _______

A) 8x + 9y = -27 B) 9x + 8y = -27 C) 8x + 9y = 27 D) 8x – 9y = 27

Find an equation of the line passing through the two points. Write the equation in standard form.

8) ( 2, -7) and ( 0, 6) 8) _______

A) 13x + 2y = 12 B) -9x + 6y = -36 C) -13x + 2y = 12 D) 9x – 6y = -36

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.

9) Through (-6, 5); parallel to -7x + 5y = 57 9) _______

A) y = – x – B) y = – x – C) y = x + D) y = x +

Solve the problem.

10) It costs $39 per hour plus a flat fee of $26 for a plumber to make a house call. What is an equation of the form

for this situation? 10) ______

A) y = 39x B) y = 26x C) y = 26x + 39 D) y = 39x + 26

11) Using a phone card to make a long distance call costs a flat fee of $0.79 plus $0.17 per minute starting with the first

minute. What is an equation of the form for this situation? 11) ______

A) y = 0.17x + 0.79 B) y = 0.79x C) y = 0.17x D) y = 0.79x + 0.17

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

12) Can an equation of a vertical line be written in slope-intercept form? Explain. 12) _____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in

the first blank with either solid or dashed. Fill in the second blank with above or below.

13) y < x – 13) ______

A) dashed; below B) solid; below C) dashed; above D) solid; above

Graph the linear inequality in two variables.

14) 4x + y ≤ -6

14) ______

A)

B)

C)

D)

15) x + 2y ≥ 1

15) ______

A)

B)

C)

D)

Graph the compound inequality.

16) x + y ≥ 2 and y ≤ 2

16) ______

A)

B)

C)

D)

Graph the solution set of the inequality in the rectangular coordinate plane.

17) ∣x∣ ≥ 4

17) ______

A)

B)

C)

D)

Graph the compound inequality.

18) 3x + 2y > 4 or x > 2

18) ______

A)

B)

C)

D)

Choose the inequality that best matches the given calculator graph.

19)

19) ______

A) y ≤ -2x – 2 B) y ≥ -2x – 2 C) y ≤ 2x + 2 D) y ≥ 2x + 2

The graph of the linear equation y1 is shown on a graphing calculator screen, along with the x-value of the x-intercept of the line. Use the screen to solve the following equation or inequality.

20) y1 = 0

20) ______

A) {3} B) {0}

C) {1} D) Cannot be determined

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

21) In an inequality, how do you determine which side of the boundary line to shade? 21) _____________

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