Deck 8: Graphing Linear Equations

Question 1

Identify the independent and dependent variables for the equation. $v = 4 b ^ { 2 } - 9 b + 13$

A) the dependent variable $b$
B) the independent variable  $b$
C) the independent variable $v$
D) the dependent variable $v$

Answer 1

the independent variable  $b$
the dependent variable $v$

Question 2

The voltage, v, in an electrical circuit is given by the equation $v = 50 - 4 t$ , where t is in . Graph the equation for positive values of v and t.

A)
B)
C)
D)
E)

Answer 2

Question 3

Draw the graph of the equation. $5 x - 4 y = 20$

A)
B)
C)
D)

Answer 3

Question 4

Identify the independent and dependent variables for the equation. $y = 7 x + 3$

A) the dependent variable $y$
B) the independent variable $y$
C) the dependent variable $X$
D) the independent variable $X$

Question 5

Identify the independent and dependent variables for the equation. $Y = 4 X + 7$

A) the dependent variable Y
B) the dependent variable $X$
C) the independent variable $X$
D) the independent variable Y

Question 6

The resistance, R, in an electrical circuit varies according to the equation $R = 1.6 \mathrm {~V}$ , where V is in volts. Graph the equation for positive values of R.

A)
B)
C)
D)
E)

Question 7

Draw the graph of the equation. $7 x + 9 y = 15$

A)
B)
C)
D)

Question 8

Draw the graph of the equation. $y = 9$

A)
B)
C)
D)

Question 9

Draw the graph of the equation. $y = 4 x - 4$

A)
B)
C)
D)

Question 10

Draw the graph of the equation. $y = - 2 x$

A)
B)
C)
D)

Question 11

The distance, s (in feet), that a body travels in t seconds is given by the equation $s = 2 t + 12$ . Graph the equation for positive values of s.

A)
B)
C)
D)
E)

Question 12

Identify the independent and dependent variables for the equation. $s = 4 t ^ { 2 } + 5 t - 9$

A) the dependent variable $t$
B) the dependent variable $S$
C) the independent variable $t$
D) the independent variable $S$

Question 13

Draw the graph of the equation. $x + y = 5$

A)
B)
C)
D)

Question 14

Draw the graph of the equation. $5 y = x$

A)
B)
C)
D)

Question 15

Draw the graph of the equation. $2 x - 3 y = 18$

A)
B)
C)
D)

Question 16

Identify the independent and dependent variables for the equation. $R = 7 x + 5$

A) the independent variable $X$
B) the dependent variable $R$
C) the independent variable $R$
D) the dependent variable $X$

Question 17

Draw the graph of the equation. $x = 7$

A)
B)
C)
D)

Question 18

Draw the graph of the equation. $x + 7 \frac { 1 } { 2 } = 0$

A)
B)
C)
D)

Question 19

Draw the graph of the equation. $7 x + 5 y = 5$

A)
B)
C)
D)

Question 20

Draw the graph of the equation. $x - 8 = 0$

A)
B)
C)
D)

Question 21

Find the equation of the line through the given point with the given slope. $( 8 , - 5 ) , m = \frac { 3 } { 2 }$

A) $y = \frac { 3 } { 2 } x - 17$
B) $y = \frac { 3 } { 2 } x + 17$
C) $y = \frac { 2 } { 3 } x + 17$
D) $y = \frac { 2 } { 3 } x - 17$
E) $y = \frac { 3 } { 2 } x - 7$

Question 22

Draw the graph of the line with the given slope and y intercept. $m = 2 , b = - 6$

A)
B)
C)
D)

Question 23

Find the equation of the line through the given points. $( 20,11 ) , ( 8,7 )$

A) $y = \frac { 2 } { 3 } x + \frac { 13 } { 3 }$
B) $y = \frac { 1 } { 3 } x + \frac { 13 } { 3 }$
C) $y = \frac { 2 } { 3 } x - \frac { 13 } { 3 }$
D) $y = \frac { 1 } { 3 } x + \frac { 26 } { 3 }$
E) $y = \frac { 1 } { 3 } x - \frac { 13 } { 3 }$

Question 24

Draw the graph of the line through the given point with the given slope. $( - 3,3 ) , m = - 2$

A)
B)
C)
D)

Question 25

Find the equation of the line through the given point with the given slope. $( - 2,7 ) , m = - 4$

A) $y = 4 x + 1$
B) $y = - 4 x + 1$
C) $y = 4 x - 1$
D) $y = - 4 x + 15$
E) $y = - 4 x - 1$

Question 26

Find the equation of the line with the given slope and y intercept. $m = \frac { 4 } { 7 } , b = - 9$

A) $y = \frac { 7 } { 4 } x - 9$
B) $y = - \frac { 4 } { 7 } x + 9$
C) $y = \frac { 4 } { 7 } x + 9$
D) $y = \frac { 7 } { 4 } x + 9$
E) $y = \frac { 4 } { 7 } x - 9$

Question 27

Draw the graph of the line through the given point with the given slope. $( 5 , - 6 ) , m = 0$

A)
B)
C)
D)

Question 28

Find the equation of the line through the given points. $( - 4,8 ) , ( 8 , - 4 )$

A) $y = x - 4$
B) $y = - x + 8$
C) $y = x + 8$
D) $y = - x + 4$
E) $y = - x - 4$

Question 29

Find the equation of the line with the given slope and y intercept. $m = - \frac { 13 } { 5 } , b = - 4$

A) $y = \frac { 5 } { 13 } x - 4$
B) $y = - \frac { 13 } { 5 } x + 4$
C) $y = \frac { 13 } { 5 } x + 4$
D) $y = - \frac { 13 } { 5 } x - 4$
E) $y = - \frac { 5 } { 13 } x + 4$

Question 30

Draw the graph of the line through the given point with the given slope. $( - 1,6 ) , m = \frac { 3 } { 2 }$

A)
B)
C)
D)

Question 31

Find the equation of the line with the given slope and y intercept. $m = 9 , b = - 5$

A) $y = 9 x - 5$
B) $y = 5 x + 9$
C) $y = - 9 x + 5$
D) $y = 9 x + 5$
E) $y = 5 x - 9$

Question 32

Draw the graph of the equation using the slope and y intercept. $3 x + 5 y = 18$

A)
B)
C)
D)

Question 33

Draw the graph of the line with the given slope and y intercept. $m = \frac { 5 } { 8 } , b = 6$

A)
B)
C)
D)

Question 34

Draw the graph of the line with the given slope and y intercept. $m = \frac { 2 } { 3 } , b = - 2$

A)
B)
C)
D)

Question 35

Draw the graph of the equation using the slope and y intercept. $2 x + y = - 7$

A)
B)
C)
D)

Question 36

Find the equation of the line through the given points. $( 0,1 ) , ( - 8,0 )$

A) $y = \frac { 1 } { 8 } x - 1$
B) $y = x + 1$
C) $y = \frac { 1 } { 8 } x + 1$
D) $y = 8 x + 1$
E) $y = 8 x - 1$

Question 37

Find the equation of the line through the given points. $( 2,4 ) , ( 11,10 )$

A) $y = \frac { 3 } { 2 } x + \frac { 8 } { 3 }$
B) $y = \frac { 2 } { 3 } x + \frac { 8 } { 3 }$
C) $y = \frac { 3 } { 2 } x - \frac { 8 } { 3 }$
D) $y = - \frac { 2 } { 3 } x + \frac { 8 } { 3 }$
E) $y = \frac { 2 } { 3 } x - \frac { 8 } { 3 }$

Question 38

Draw the graph of the equation using the slope and y intercept. $2 x - y = 4$

A)
B)
C)
D)

Question 39

Find the equation of the line through the given point with the given slope. $( 16,22 ) , m = 6$

A) $y = - 6 x + 74$
B) $y = 6 x - 266$
C) $y = 6 x + 74$
D) $y = - 6 x - 74$
E) $y = 6 x - 74$

Question 40

Find the equation of the line through the given point with the given slope. $( 5,7 ) , m = - \frac { 3 } { 7 }$

A) $y = - \frac { 3 } { 7 } x - \frac { 64 } { 7 }$
B) $y = \frac { 3 } { 7 } x + \frac { 64 } { 7 }$
C) $y = - \frac { 3 } { 7 } x + \frac { 64 } { 7 }$
D) $y = - \frac { 7 } { 3 } x - \frac { 64 } { 7 }$
E) $y = \frac { 7 } { 3 } x - \frac { 64 } { 7 }$

Question 41

Find the equation of the line through the given point with the given slope.
  $( 17,20 ) , m = 3$

Question 42

Find the equation of the line through the given point with the given slope. $( - 7,7 ) , m = - 3$

Question 43

Find the equation of the line through the given points. $( - 6,12 ) , ( 12 , - 6 )$

Question 44

Write the ordered pair corresponding to point A.

A) $( 5,2 )$
B) (-3, 3)
C) $( - 6 , - 4 )$
D) $( - 7,5 )$
E) $( 1 - 9 )$

Question 45

Find the equation of the line through the given point with the given slope. $( 6 , - 7 ) , m = \frac { 3 } { 2 }$

Question 46

Write the ordered pair corresponding to point I.

A) $( 7 , - 1 )$
B) $( 5,2 )$
C) $( - 2,4 )$
D) $( 2,3 )$
E) $( - 1 , - 3 )$

Question 47

Plot the point in the number plane. $B ( 1,2 )$

A)
B)
C)
D)
E)

Question 48

Find the equation of the line through the given point with the given slope. $( 2,9 ) , m = - \frac { 3 } { 7 }$

Question 49

Solve for y in terms of x. $- 5 x - 3 y = - 7$

A) $y = \frac { 7 - 5 x } { 3 }$
B) $y = \frac { 7 - 9 x } { 3 }$
C) $y = \frac { 7 + 5 x } { 3 }$
D) $y = \frac { 7 - 5 x } { 4 }$
E) $y = \frac { 9 - 5 x } { 3 }$

Question 50

Find the equation of the line through the given points. $( 7,7 ) , ( 22,17 )$

Question 51

Solve for y in terms of x. $x - 3 y = 7$

A) $y = \frac { - 7 + x } { 3 }$
B) $y = \frac { x - 12 } { 3 }$
C) $y = \frac { x - 12 } { 6 }$
D) $y = \frac { - 12 - x } { 3 }$
E) $y = \frac { 7 - x } { 3 }$

Question 52

Find the equation of the line through the given points. $( 0,1 ) , ( - 11,0 )$

Question 53

Plot the point in the number plane. $D ( - 4,1 )$

A)
B)
C)
D)
E)

Question 54

Plot the point in the number plane. $I ( 0,3 )$

A)
B)
C)
D)
E)

Question 55

Find the equation of the line with the given slope and y intercept. $m = \frac { 4 } { 7 } , b = - 9$

Question 56

Find the equation of the line with the given slope and y intercept. $m = 4 , b = - 8$

Question 57

Find the equation of the line through the given points. $( 16,11 ) , ( 4,7 )$

Question 58

Solve for y in terms of x. $11 x - 7 y = 1$

A) $y = \frac { - 1 + 11 x } { 7 }$
B) $y = \frac { - 6 + 11 x } { 7 }$
C) $y = \frac { 1 + 11 x } { 7 }$
D) $y = \frac { - 1 + 11 x } { 8 }$
E) $y = \frac { - 1 + 16 x } { 7 }$

Question 59

Find the equation of the line with the given slope and y intercept.
  $m = - \frac { 12 } { 5 } , m = - 9$

Question 60

Solve for y in terms of x. $3 x + 7 y = 11$

A) $y = \frac { 12 - 3 x } { 7 }$
B) $y = \frac { 11 - 3 x } { 7 }$
C) $y = \frac { 11 + 3 x } { 7 }$
D) $y = \frac { - 11 - 8 x } { 7 }$
E) $y = \frac { 11 - 3 x } { 8 }$

Question 61

From the list below, select the ordered pair(s), which satisfies the following equation. $- 5 x + y = 3$

A) (-2,-12)
B) (4,23)
C) (5,13)
D) (-3,-12)
E) (2,13)
F) (7,23)

Question 62

Complete the three ordered pair solution of the equation. ( _____ , -2) ( _____ , 4) ( _____ , 5)

Question 63

From the list below, select the ordered pair(s), which satisfies the following equation. $y = 2 x + 3$

A) $( 5,13 )$
B) $( 0,13 )$
C) $( - 11 , - 9 )$
D) $( - 1 , - 1 )$
E) $( - 2 , - 1 )$
F) $( - 6 , - 9 )$

Question 64

Plot the point in the number plane. $Q ( 0 , - 4 )$

A)
B)
C)
D)
E)

Question 65

From the list below, select the ordered pair(s), which satisfies the following equation. $2 x - y = 5$

A) $( - 3 , - 11 )$
B) $( - 2 , - 11 )$
C) $( 3,1 )$
D) $( 1 , - 7 )$
E) $( 4,1 )$
F) $( - 1 , - 7 )$

Question 66

Complete the three ordered pair solution of the equation. (-2, _____ ) (1, _____ ) (-6, _____ )

Question 67

Plot the point in the number plane. $L ( - 6,1$

A)
B)
C)
D)
E)

Question 68

Solve for y in terms of x. $11 x - 2 y = 3$

Question 69

From the list below, select the ordered pair(s), which satisfies the following equation. $x = 5$

A) $( 6 , - 3 )$
B) $( 5 , - 3 )$
C) $( 4 , - 1 )$
D) $( 7,5 )$
E) $( 5,5 )$
F) $( 5 , - 1 )$

Question 70

Plot the point in the number plane. $U \left( - 1 \frac { 1 } { 2 } , 3 \right)$

A)
B)
C)
D)

Question 71

Complete the three ordered pair solution of the equation. (4, _____ ) (-2, _____ ) (- 6, _____ )

Question 72

Plot the point in the number plane. $N ( 4 , - 3 )$

A)
B)
C)
D)
E)

Question 73

From the list below, select the ordered pair(s), which satisfies the following equation. $5 x - 2 y = - 10$

A) $( - 1,15 )$
B) $( - 1,0 )$
C) $( - 2,0 )$
D) $( 4,15 )$
E) $( - 6 , - 10 )$
F) $( - 11 , - 10 )$

Question 74

Complete the three ordered pair solution of the equation. (2, _____ ) (-2, _____ ) (-1, _____ )

Question 75

From the list below, select the ordered pair(s), which satisfies the following equation. $- 2 x - 2 y = - 8$

A) $( - 7,11 )$
B) $( 5,0 )$
C) $( 1,6 )$
D) $( 4,0 )$
E) $( - 2,6 )$
F) $( - 6,11 )$

Question 76

Complete the three ordered pair solution of the equation.

Question 77

Complete the three ordered pair solution of the equation. (5, _____ ) (2, _____ ) (-1, _____ )

Question 78

Plot the point in the number plane. Label the point by writing its ordered pair and letter. $U \left( - 3 , - 4 \frac { 1 } { 2 } \right)$

A)
B)
C)
D)
E)

Question 79

Solve for y in terms of x. $3 x + 7 y = 5$

Question 80

Solve for y in terms of x. $x - 2 y = 3$