This document contains a mathematics worksheet for 8th grade students on the topics of angles, parallel lines, factoring, and algebraic expressions. It includes 26 problems and exercises involving calculating angle measures, identifying parallel lines, factoring expressions, and simplifying algebraic terms. The worksheet is from the 2nd bimester of the school year and aims to help students practice important geometry and algebra concepts and skills.
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
...
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apostia
1. Colégio SOTER - Caderno de Atividades - 8º Ano - Matemática - 2º Bimestre
7
“O estudo é glorioso, primeiro porque purifica os costumes dos homens,
segundo porque proporciona o benefício da cultura." Cassiodoro
1. Grandezas e Medidas
1)Determine a medida do complemento dos ângulos cujas medidas são:
a) 30° ___________ b) 50° ___________ c) 15° ___________ d) 67° ___________
2)Determine a medida do suplemento dos ângulos cujas medidas são:
a) 120° ___________ b) 43° ___________ c) 30° ___________ d) 95° ___________
3) Utilizando o transferidor, meça e classifique os seguintes ângulos:
a) b)
Medida: ______________________ Medida: _______________________
Classificação:__________________ Classificação: __________________
c) d)
Medida: ______________________ Medida: _______________________
Classificação:__________________ Classificação: __________________
4) Calcule as medidas desconhecidas dos ângulos das figuras abaixo:
a) 2x + 25° b)
4x
x – 5° x
x = ________________ x = __________________
c) d)
x + 15°
48°
3x - 5° x
x = _______________________ x = _______________________
3x + 20°
2. Colégio SOTER - Caderno de Atividades - 8º Ano - Matemática - 2º Bimestre
8
5) Sendo OC a bissetriz de AÔB, calcule x:
A • C •
X
60°
O B
6 - Observando cada figura, dê a medida x indicada:
7) Na figura abaixo, vamos calcular as medidas X, Y e Z indicadas:
8) Vamos determinar os valores para X e Y indicados na figura abaixo:
a) b)
9) Na figura abaixo, OM é a bissetriz do ângulo BOA
^
. Determine a medida x indicada:
C
3. Colégio SOTER - Caderno de Atividades - 8º Ano - Matemática - 2º Bimestre
9
10) Analisando a figura do exercício anterior, determine a medida do ângulo AOC
^
.
11) Vamos calcular, em graus, a medida x indicada nas figuras.
2. Retas Paralelas
12) Na figura abaixo, identifique um par de ângulos:
13) Na figura abaixo, qual o nome dos seguintes pares de ângulos:
14)
4. Colégio SOTER - Caderno de Atividades - 8º Ano - Matemática - 2º Bimestre
10
15) Nas figuras abaixo, determine o valor de x sabendo que r // s.
16) Nas figuras abaixo, determine o valor de a, sendo r // s:
17) Duas retas paralelas cortadas por uma transversal formam dois ângulos correspondentes
representados, em graus, por 5x + 20º e 2x + 50º. Determine o valor de x:
18) Duas retas paralelas cortadas por uma transversal formam ângulos colaterais internos expressos em
graus por
3x -50º e 2x -10º. Determine as medidas desses ângulos.
3. Produtos Notáveis
19) Complete a tabela:
a b (a + b)2
a2
+ b2
5 3
0 6
3 - 1
- 1 4
