Mathematics 5
JA321
MTH125Homeworkexercisesforweek5.pdf
MTH 125 – Homework 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 = 3x - 4 1) _______
A)
B)
C)
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
2) m = - ; y-intercept 2) _______
A) y = x + B) y = - x + C) y = - x - D) y = x -
3) m = - ; y-intercept (0, 7) 3) _______
A) y = x - 7 B) y = - x - 7 C) y = x + 7 D) y = - x + 7
Write the equation in slope-intercept form.
4) 7x - 6y = 6 4) _______
A) y = x + B) y = 7x - 6 C) y = x - 1 D) y = x + 1
Find the slope and the y-intercept of the line.
5) 2x + 5y = 19 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 (0, 5); m = 6) _______
A) 4x - 3y = -15 B) 4x - 3y = 15 C) 3x - 4y = -15 D) 4x + 3y = -15
7) Through ( 0, 5); m = 7) _______
A) 3x - 4y = 20 B) 4x - 3y = -20 C) 3x - 4y = -20 D) 3x + 4y = -20
Find an equation of the line passing through the two points. Write the equation in standard form.
8) ( 9, 0) and ( -9, 5) 8) _______
A) 9x - 14y = 11 B) -5x + 18y = 45 C) 5x + 18y = 45 D) -9x + 14y = 11
Find an equation of the line satisfying the conditions. Write the equation in slope -intercept form.
9) Through (-6, 7); parallel to 3x + 7y = 3 9) _______
A) y = x + B) y = - x + C) y = x - D) y = - x +
Solve the problem.
10) The number of births in County A has been increasing in recent years. Using the information given on the bar graph
for the years 1960 and 1990, find an equation to model the number of births y for the year x. Let x = 0 correspond to the
year 1960.
10) ______
A) y = x + B) y = x + 1693
C) y = x - 2190 D) y = x + 1693
11) Let x represent the number of pounds of apples sold at $ 1.2 per pound, and let y represent the total price paid for the
apples. Write an equation for this situation. Then give the ordered pair with an x-value of 9 associated with this
equation. 11) ______
A) y = 1.2 + x; ( 9, 10.20) B) y = 1.2x; ( 9, 10.80)
C) x = 1.2y; ( 9, 7.50) D) x = 1.2 + y; ( 9, 7.80)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
12) Can the point-slope form of the equation of a line be used to write an equation of a vertical line? 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 > -3x - 13) ______
A) solid; above B) solid; below C) dashed; below D) dashed; above
Graph the linear inequality in two variables.
14) x + y ≤ 4
14) ______
A)
B)
C)
D)
15) x - y > -6
15) ______
A)
B)
C)
D)
Graph the compound inequality.
16) 2x - y > 4 and x ≤ 4
16) ______
A)
B)
C)
D)
Graph the solution set of the inequality in the rectangular coordinate plane.
17) ∣y∣ < 5
17) ______
A)
B)
C)
D)
Graph the compound inequality.
18) 2x + y < 6 or 3x - 2y > 5
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) {0} B) {-5} C) {5} 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) Is the origin a good test point in graphing an inequality of the form Ax + By < 0? Explain. 21) _____________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find an equation of the line passing through the two points. Write the equation in standard form.
22) ( 5, 0) and ( 1, 9) 22) ______
A) 5x - 8y = -77 B) -9x + 4y = 45 C) 9x + 4y = 45 D) -5x + 8y = -77
Solve the problem.
23) Let x represent the number of gallons of gas sold at $ 2.10 per gallon, and let y represent the total cost of the gasoline
(in dollars). Write an equation for this situation. Then give the ordered pair with an x-value of 18 associated with this
equation. 23) ______
A) x = 2.10 + y; ( 18, 15.90) B) y = 2.10x; ( 18, 37.80)
C) x = 2.10y; ( 18, 8.57) D) y = 2.10 + x; ( 18, 20.10)
Graph the compound inequality.
24) 4x < y + 2 or y < -2
24) ______
A)
B)
C)
D)
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.
25) y1 < 0
25) ______
A) (3, ∞) B) (1, ∞) C) (-∞, 1) D) Cannot be determined
