1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
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.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1 Week 2 Homework for MTH 125 Name_______________AbbyWhyte974
1
Week 2 Homework for MTH 125
Name___________________________________ Date: ___July 20, 2021______________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Graph the equation by determining the missing values needed to plot the ordered pairs.
1) y + x = 3; ( 1, ), ( 3, ), ( 2, )
1) _______
A)
B)
C)
D)
2
Find the x- and y-intercepts. Then graph the equation.
2) 10y - 2x = -4
2) _______
A) ( -2, 0);
B) ; (0, -2)
3
C) ( 2, 0);
D) ; (0, 2)
Find the midpoint of the segment with the given endpoints.
4
3) ( 8, 4) and ( 7, 9) 3) _______
A) B) C) D)
Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates
of the other endpoint Q.
4) P( 5, 5) and M 4) _______
A) Q( 4, 4) B) Q C) Q D) Q
Solve the problem.
5) The graphing calculator screen shows the graph of one of the equations below. Which equation is it?
5) _______
A) y + 3x = 15 B) y - 3x = 15 C) y = 3x + 3 D) y + 3x = 3
Find the slope.
6) m = 6) _______
A) -5 B) 5 C) 12 D) 8
Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line
through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
7) ( -3, -5) and ( 4, -4) 7) _______
A) - ; falls B) - 7; falls C) 7; rises D) ; rises
Find the slope of the line.
5
8)
8) _______
A) B) C) - D) -
Find the slope of the line and sketch the graph.
9) 2x + 3y = 10
9) _______
A) Slope:
6
B) Slope: -
C) Slope: -
7
D) Slope:
Decide whether the pair of lines is parallel, perpendicular, or neither.
10) 3x - 4y = 12 and 8x + 6y = -9 10) ______
A) Parallel B) Perpendicular C) Neither
Choose the graph that matches the equation.
11) y = 2x + 4 11) ______
A)
B)
C)
8
D)
Find the equation in slope-intercept form of the line satisfying the conditions.
12) m = 2, passes through ( 6, -3) 12) ______
A) y = 2x - 15 B) y = 3x + 16 C) y = 2x - 13 D) y = 2x + 14
Write the equation in slope-intercept form.
13) 17x + 5y = 7 13) ______
A) y = x + B) y = 17x - 7 C) y = - x + D) y = x -
Find the slope and the y-intercept of the line.
14) 7x + 5y = 48 14) ______
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.
9
15) Through ( 5, 4); m = - 15) ______
A) 4x - 9y = 56 B) 4x + 9y = -56 C) 4x + 9y = 56 D) 9x + 4y = -56
...
1. Name ______________________________________ Date ________________
Mrs. Labuski / Mrs. Portsmore Period ____________ Unit 4 Quiz Review Lessons 1-4
Lesson 1
Tell whether each number is divisible by 2,3,4,5,6,9, and 10.
Use your divisibility rules, do not use division.
List the numbers on the line.
1.) 542, 3, 6, 9 2.) 2702, 3, 5, 6, 9, 10
Tell whether each number is prime or composite.
(Use your divisibility rules to help you.)
3.) 51composite 4.) 153composite
Lesson 2
Use a factor tree to find the prime factorization of each number. Show all
work below the line. Write your answer in exponential form on the line.
5.) 108 ______________________ 6.) 81 _______________________
108 81
9 12 9 9
3 3 3 4 3 3 3 3
2 2
108 = 3 • 3 • 3• 2 • 2 81= 3 • 3 • 3• 3
2 3
108 = 2 •3 81= 34
Lesson 3
Use factor trees to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
7. )32 and 42 ___2__________
32 42
4 8 6 7
2 2 2 4 2 3
2 2
32 = 2 • 2• 2• 2• 2
32 = 2 • 3 • 7
2. Use the list method to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
8.) 24 and 36 ___12_____________
24 = 1, 2, 3, 4, 6, 8, 12, 24
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Lesson 4
Match.
a. (8 • 2) • 7 = 8 • ( 2 • 7)
9. __a___ Associative Property
b. 24•3 = 3•24
10. __b___ Commutative Property
c. 9 x 1 = 9
11. __c___ Identity Property of One
d. 43 x 0 = 0
12. __e___ Identity Property of Zero
e. 27 + 0 = 27
13. __d__ Property of Zero
Identify the property shown and the missing number in each equation.
14.) 5 + 7 = x + 5 property: _communtative_______; x = 7___________
15.) 6+(9+8) = (b+9)+8 property: _associative___________; b = _6_________
16.)42 + s= 42 property: _identity property of zero; s = _0________
17.) 9 x m = 9 property: _identity propertyof one; m = 1_________
18.) 12 x r = 0 property: property of zero ; r = ___0_____
3. Name ______________________________________ Date ________________
Mrs. Labuski / Mrs. Portsmore Period ____________ Unit 4 Quiz Review Lessons 1-4
Lesson 1
Tell whether each number is divisible by 2,3,4,5,6,9, and 10.
Use your divisibility rules, do not use division.
List the numbers on the line.
1.) 54 _______________________________________
2.) 270 ______________________________________
Tell whether each number is prime or composite.
(Use your divisibility rules to help you.)
3.) 51 ______________________________________
4.) 153 ______________________________________
Lesson 2
Use a factor tree to find the prime factorization of each number. Show all
work below the line. Write your answer in exponential form on the line.
5.) 108 ______________________ 6.) 81 _______________________
4. Lesson 3
Use factor trees to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
7. )32 and 42 _______________
Use the list method to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
8.) 24 and 36 ________________
5. Lesson 4
Match.
a. (8 • 2) • 7 = 8 • ( 2 • 7)
9. _____ Associative Property
b. 24•3 = 3•24
10. _____ Commutative Property
c. 9 x 1 = 9
11. _____ Identity Property of One
d. 43 x 0 = 0
12. _____ Identity Property of Zero
e. 27 + 0 = 27
13. _____ Property of Zero
Identify the property shown and the missing number in each equation.
14.) 5 + 7 = x + 5 property: _____________________; x = ____________
15.) 6+(9+8) = (b+9)+8 property: _____________________; b = ___________
16.) 42 + s= 42 property: _____________________; s = ____________
17.) 9 x m = 9 property: _____________________; m = ___________
18.) 12 x r = 0 property: _____________________; r = ____________