MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Plot the points on the Cartesian coordinate system provided. 1) A(5, 5), B(-4, 3) 8
y
8 x
-8
-8
A) 8
y A B
8 x
-8
-8
B) 8
y A
B
8 x
-8
-8
1
C) 8
y A
8 x
-8 B
-8
D) 8
y
A B
8 x
-8
-8
Answer: B 2) A(2, -6), B(-1, 2) 8
y
8 x
-8
-8
2
A) 8
y
B
8 x
-8
A -8
B) 8
y A
B
8 x
-8
-8
C) 8
y A
B
8 x
-8
-8
3
D) 8
y
B
8 x
-8
A -8
Answer: D 3) A(-6, -4), B(-1, 1) 8
y
8 x
-8
-8
A) 8
y
A
B 8 x
-8
-8
4
B) 8
y
B 8 x
-8 A
-8
C) 8
y
A
B 8 x
-8
-8
D) 8
y
B 8 x
-8 A
-8
Answer: D
5
4) A(1, 3), B(3, -5) y
8
8 x
-8
-8
A) 8
y
B
A 8 x
-8
-8
B) 8
y
A
8 x
-8
B
-8
6
C) 8
y B A
8 x
-8
-8
D) 8
y
A
8 x
-8
B
-8
Answer: D 5) A(2, 5), B(-4, -3) 8
y
8 x
-8
-8
7
A) 8
y
B
8 x
-8
A
-8
B) 8
y A B
8 x
-8
-8
C) 8
y A
8 x
-8 B
-8
8
D) 8
y
8 x
-8 B A
-8
Answer: C 6) A(-
4 , -2), B(-4, 6) 5 8
y
8 x
-8
-8
A) 8
y
B
-8
A
8 x
-8
9
B) 8
y B
-8
8 x
A
-8
C) 8
y
B
-8
8 x
A
-8
D) 8
y
B
-8
A
8 x
-8
Answer: C
10
7) A(-2, 0), B (0, 6) 8
y
8 x
-8
-8
A) 8
y
B 8 x
-8 A
-8
B) 8
y B
8 x
-8 A
-8
11
C) 8
y B
A 8 x
-8
-8
D) 8
A
y
B 8 x
-8
-8
Answer: C Give the coordinates for the points labeled on the graph. 8) y B A
x
A) A(7, 4); B(-3, 5) B) A(7, 4); B(5, -3) C) A(4, 30); B(5, -3) D) A(7, 5); B(4, 5) Answer: A
12
9) y
C
x D
A) C(-6, 2); D(-3, 2) B) C(2, 4); D(-3, 2) C) C(-6, 2); D(2, -3) D) C(-6, -3); D(2, -3) Answer: C 10) y
E
x G
A) E(2, 10); G(-2, -6) B) E(-3, -2); G(2, -2) C) E(-3, 2); G(-2, -6) D) E(-3, 2); G(-6, -2) Answer: D
13
11) y
A
x
B
A) A(2, -2); B(1, -4) B) A(2, 2); B(0, -4) C) A(-2, 2); B(0, 4) D) A(2, 2); B(0, 4) Answer: B 12) Determine which of the following points lie on the graph of the linear equation 4x + 5y = 20. A) (-5, 8) B) (5, 4) C) (0, -4) D) (-4, 20) E) (0, 0) Answer: A SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 13) On the line 2y = 6, is there a point whose first coordinate is 4? If so, name the point. Answer: (4, 3) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine if the given point is on the graph of the equation. 14) 4x + 5y = 8; (0, 2) A) No B) Yes Answer: A 15)
3 x + y = 1; (-4, 4) 4 A) Yes B) No Answer: A
14
16) -
2 x + y = -1; (-1, 0) 3 A) No B) Yes
Answer: A The equation is in the form y = mx + b. Identify m and b. 5 9 17) y = x 2 2 A) m =
5 9 ;b=2 2
B) m =
5 9 ;b= 2 2
C) m = D) m =
9 5 ;b= 2 2
9 5 ;b= 2 2
Answer: A 18) y = x - 6 A) m = -6; b = 1 B) m = 1; b = -6 C) m = -6; b = -1 D) m = 0; b = 6 Answer: B 19) y = -4x - 5 A) m = -4; b = -5 B) m = 5; b = -4 C) m = -5; b = -4 D) m = -4; b = 5 Answer: A 20) y = 15 A) m = 15; b = 15 B) m = 15; b = 0 C) m = 0; b = 15 D) m = 0; b =0 Answer: C 21) Find the standard form of the linear equation x =3y - 4. 1 4 A) y = x + 3 3 B) x = y -4 C) x -3 y =- 4 D) 3y = -x + 4 E) none of these Answer: A
15
22) Find the standard form of the linear equation 4x - 7y = 14. 4 A) y = x - 2 7 B) 7y = -4x + 14 2 1 C) x - y = 1 7 2 D) 4x = 7y + 14 E) none of these Answer: A 23) Find the standard form of the equation -2x + 3y = 6. 2 A) y = x + 6 3 B) y = -
2 x+6 3
C) y = -
2 x+2 3
D) y =
2 x+2 3
E) none of these Answer: D SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 24) Write the equation of the line x +3y = 1 in standard form. Answer: y = -
1 1 x+ 3 3
25) Write the equation of the line -4x + 2y = 5 in standard form. Answer: y = 2x +
5 2
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 26) Which of the following equations describe the same line as the equation 3x + 4y = 5? 3 A) y = x + 5 4 B) 5 - 3x - 4y = 0 C) 6x + 8y = 5 3 5 D) y = x + 4 4 E) none of these Answer: B
16
Write the equation in slope-intercept form. 27) 16x + 10y = 5 A) y = 16x - 5 8 1 B) y = x 5 2 C) y = D) y =
8 1 x+ 5 2
8 1 x+ 5 2
Answer: C 28) 4x - 8y = 7 1 7 A) y = x + 2 8 B) y = 2x +
7 4
C) y = 4x - 7 1 7 D) y = x 2 8 Answer: D 29) x - 5y = 9 A) y = 5x - 9 B) y = x -
9 5
C) y =
1 9 x5 5
D) y =
1 x-9 5
Answer: C 30) Find the x-intercept of the line y = 8x - 12. 3 A) , 0 2 B) (8, 0) C) (0, -12) 3 D) 0, 2 E) none of these Answer: A
17
31) Find the x-intercept of the line y = 2x + 5. 5 A) - , 0 2 B) (0, 5) C) (5, 0) D) 0, -
5 2
E) none of these Answer: A 32) Find the y-intercept of the line y = 0.5x + 4. A) (0, 4) B) (1, 0) C) (4, 0) D) (0, 1) E) none of these Answer: A 33) Find the y-intercept of the line x-y = 3. A) (3, 0) B) (0, 3) C) (-3, 0) D) (0, -3) E) none of these Answer: D 34) Find the y-intercept of the line 2y -x =6. A) (3, 0) B) (-6, 0) C) (0, 3) D) (0,-6) E) none of these Answer: C 35) Find the y-intercept of the line y = 0.5x + 4. A) (1, 0) B) (0, 4) C) (4, 0) D) (0, 1) E) none of these. Answer: B SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 36) Find the x-intercept and y-intercept for the line y = -2x + 6. Answer: x-intercept: (3, 0) y-intercept: (0, 6) 37) Find the x-intercept and y-intercept for the line y = 2. Answer: x-intercept: none y-intercept: (0, 2) 18
38) Find the x-intercept and y-intercept for the line x = -3. Answer: x-intercept: (-3, 0) y-intercept: none 39) Find the x-intercept and y-intercept for the line y = 5x. Answer: x-intercept: (0, 0) y-intercept: (0, 0) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 40) The coordinates of the x-intercept are the same as the coordinates of the y-intercept on the graph of the line whose equation is A) x - 3y = 0 B) 2x + y = 2 C) 2x + 2y = 8 D) 2x - 3y = 3 E) none of these Answer: A Find the intercepts for the equation. 41) y = -x + 5 A) x-intercept: (2, 0); y-intercept: (0, 3) B) x-intercept: (0, 0); y-intercept: (0, 5) C) x-intercept: (5, 0); y-intercept: (0, 5) D) x-intercept: (5, 0); y-intercept: (0, -5) Answer: C Find the x- and y-intercepts for the equation. 42) y = 5x - 3 3 A) x-intercept: , 0 , y-intercept: (0, -3) 5 B) x-intercept: (-3, 0) , y-intercept: 0, C) x-intercept:
3 5
3 , 0 , y-intercept: (0, 3) 5
D) x-intercept: -
3 , 0 , y-intercept: (0, -3) 5
Answer: A 43) y = 5x A) x-intercept: (0, 0), y-intercept: (0, 0) 1 B) x-intercept: (0, 0), y-intercept: (0, ) 5 C) x-intercept: (5, 0), y-intercept: (0, 0) D) x-intercept: (-5, 0), y-intercept: (0, 0) Answer: A
19
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Sketch the graph of the linear equation. Label the coordinates of the y-intercept and the x-intercept. 44) 2x - 5y = -10 y 10
5
-10
-5
5
10
x
-5
-10
Answer: y 10
5 (0, 2) (-5, 0) -10
-5
5
10
x
-5
-10
20
45) y = -2x + 3 y 10
5
-10
-5
5
10
x
-5
-10
Answer: y 10
5 (0, 3) (3/2, 0) -10
-5
5
10
x
-5
-10
21
46) 3y +2x = 6 y 10
5
-10
-5
5
10
x
-5
-10
Answer: y 10
5 (0, 2) -10
-5
(3, 0) 5
10
x
-5
-10
22
47) 5x - 10y = 20 y 10
5
-10
-5
5
10
x
-5
-10
Answer: y 10
5 (4, 0) -10
-5
5
10
x
(0, -2) -5
-10
23
48) y - 3x = 0 y 10
5
-10
-5
5
10
x
-5
-10
Answer: y 10
5 (0, 0) -10
-5
5
10
x
-5
-10
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the equation. 1 49) y = - x - 4 2 y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
2
4
6
8 10
x
-4 -6 -8 -10
24
A) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
2
4
6
8
10
x
2
4
6
8
10
x
2
4
6
8
10
x
-4 -6 -8 -10
B) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
C) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
25
D) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
2
4
6
6
8 10
2
4
8
10
x
10
x
-4 -6 -8 -10
Answer: C 50) 5y + 7x = 5 y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
2
4
x
-4 -6 -8 -10
A) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
6
8
-4 -6 -8 -10
26
B) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
2
4
6
8
10
x
2
4
6
8
10
x
2
4
6
8
10
x
-4 -6 -8 -10
C) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
D) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
Answer: B
27
51) 4x - 20y = 0 y 10 8 6 4 2 -10 -8 -6 -4 -2 -2
2
4
x
6
8 10
2
4
6
8
10
x
2
4
6
8
10
x
-4 -6 -8 -10
A) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
B) y 10 8 6 4 2 -10 -8 -6 -4 -2 -2 -4 -6 -8 -10
28