Deck 2: Graphs, Lines, and Inequalities

Question 1

Determine whether the given ordered pair is a solution of the given equation.

- $5 \mathrm{x}+\mathrm{y}=12 ;(2,2)$

Answer 1

True

Question 2

Determine whether the given ordered pair is a solution of the given equation.

- $3 x+2 y-25=0 ;(5,5)$

Answer 2

True

Question 3

Determine whether the given ordered pair is a solution of the given equation.

- $5 x-2 y=31 ;(5,3)$

Answer 3

False

Question 4

Determine whether the given ordered pair is a solution of the given equation.

- $x^{2}+y^{2}-4 x+8 y=-12 ;(4,-2)$

Question 5

Determine whether the given ordered pair is a solution of the given equation.

- $x^{2}+y^{2}-4 x+5 y=6 ;(4,-1)$

Question 6

Determine whether the given ordered pair is a solution of the given equation.

- $(x-8)^{2}+(y+3)^{2}=50 ;(1,-2)$

Question 7

Determine whether the given ordered pair is a solution of the given equation.

- $(x-5)^{2}+(y+4)^{2}=-8 ;(4,-1)$

Question 8

Determine whether the given ordered pair is a solution of the given equation.

- $\frac{x^{2}}{6}+\frac{y^{2}}{3}=1 ;(1,-1)$

Question 9

Graph the linear equation.

- $9 y=x+1$

A)
B)
C)
D)

Question 10

Graph the linear equation.

- $-\mathrm{x}=8 \mathrm{y}-8$

A)
B)
C)
D)

Question 11

Graph the linear equation.

- $5 y-10 x=-45$

A)
B)
C)
D)

Question 12

Graph the linear equation.

- $2 x=y-8$

A)
B)
C)
D)

Question 13

Graph the linear equation.

- $-15 y=3 x+3$

A)
B)
C)
D)

Question 14

Graph the linear equation.

- $-3 x-27 y=12$

A)
B)
C)
D)

Question 15

Graph the linear equation.

- $6 x-y=0$

A)
B)
C)
D)

Question 16

Graph the linear equation.

- $9 x+y=0$

A)
B)
C)
D)

Question 17

Graph the linear equation.

- $y+3=0$

A)
B)
C)
D)

Question 18

Graph the linear equation.

- $x=-5$

A)
B)
C)
D)

Question 19

Give the x-intercepts and y-intercepts of the graph.

-

A) $x$ -intercept: $2 ; y$ -intercept: 5
B) $x$ -intercept: $-5 ; y$ -intercept: -2
C) $x$ -intercept: 5;y-intercept: 2
D) $x$ -intercept: $-2 ; y$ -intercept: -5

Question 20

Give the x-intercepts and y-intercepts of the graph.

-

A) $x$ -intercept: $-3 ; y$ -intercept: 7
B) $x$ -intercept: $-7 ; y$ -intercept: 3
C) $x$ -intercept: $7 ; y$ -intercept: -3
D) $x$ -intercept: $3 ; y$ -intercept: -7

Question 21

Give the x-intercepts and y-intercepts of the graph.

-

A) $x$ -intercept: $-3 ; y$ -intercept: -5
B) $x$ -intercept: 3; y-intercept: 5
C) $x$ -intercept: 5; y-intercept: 3
D) $x$ -intercept: $-5 ; y$ -intercept: -3

Question 22

Give the x-intercepts and y-intercepts of the graph.

-

A) $x$ -intercept: 5
B) y-intercept: 5
C) $y$ -intercept: -5
D) $x$ -intercept: -5

Question 23

Give the x-intercepts and y-intercepts of the graph.

-

A) $x$ -intercepts: $-2,2 ; y$ -intercept: -4
B) $x$ -intercept: $2 ; y$ -intercepts: -4
C) x-intercept: $4 ; y$ -intercepts: $-2,2$
D) $x$ -intercept: $-2 ; y$ -intercepts: 4

Question 24

Find the x-intercepts and y-intercepts of the graph of the equation.

- $x+y=5$

A) $x$ -intercept: $5 ; y$ -intercept: 5
B) $x$ -intercept: $2 ; y$ -intercept: 3
C) $x$ -intercept: $5 ; y$ -intercept: 3
D) $x$ -intercept: $3 ; y$ -intercept: 2

Question 25

Find the x-intercepts and y-intercepts of the graph of the equation.

- $x+y=0$

A) $x$ -intercept: $0 ; y$ -intercept: 0
B) $x$ -intercept: $0 ; y$ -intercept: -1
C) $x$ -intercept: $-1 ; y$ -intercept: 1
D) $x$ -intercept: 1 ; y-intercept: -1

Question 26

Find the x-intercepts and y-intercepts of the graph of the equation.

- $2 x+y=6$

A) $x$ -intercept: $3 ; y$ -intercept: 6
B) $x$ -intercept: $6 ; y$ -intercept: -6
C) $x$ -intercept: $6 ; y$ -intercept: 3
D) $x$ -intercept: $-6 ; y$ -intercept: 6

Question 27

Find the x-intercepts and y-intercepts of the graph of the equation.

- $4 x+y=-8$

A) $x$ -intercept: $8 ; y$ -intercept: -4
B) $x$ -intercept: $-8 ; y$ -intercept: -2
C) $x$ -intercept: $-2 ; y$ -intercept: -8
D) $x$ -intercept: $-4 ; y$ -intercept: 8

Question 28

Find the x-intercepts and y-intercepts of the graph of the equation.

- $-2 x+y=0$

A) $x$ -intercept: $-4 ; y$ -intercept: -8
B) $x$ -intercept: $-0 ; y$ -intercept: 0
C) $x$ -intercept: $-8 ; y$ -intercept: -4
D) $x$ -intercept: $0 ; y$ -intercept: -0

Question 29

Find the x-intercepts and y-intercepts of the graph of the equation.

- $-3 x+3 y=9$

A) $x$ -intercept: $3 ; y$ -intercept: -3
B) $x$ -intercept: $-3 ; y$ -intercept: 3
C) $x$ -intercept: $-4 ; y$ -intercept: -3
D) $x$ -intercept: $-3 ; y$ -intercept: -4

Question 30

Find the x-intercepts and y-intercepts of the graph of the equation.

- $-4 x-4 y=8$

A) $x$ -intercept: $-3 ; y$ -intercept: -4
B) $x$ -intercept: $-2 ; y$ -intercept: -2
C) $x$ -intercept: $-4 ; y$ -intercept: -3
D) $x$ -intercept: $2 ; y$ -intercept: 2

Question 31

Find the x-intercepts and y-intercepts of the graph of the equation.

- $y=x^{2}+1$

A) $y$ -intercept: $-1 ; x$ -intercept: 1
B) $x$ -intercept: 1; no y-intercepts
C) $y$ -intercept: 0; no $x$ -intercepts
D) $y$ -intercept: 1 ; no $x$ -intercepts

Question 32

Find the x-intercepts and y-intercepts of the graph of the equation.

- $y=x^{2}+3$

A) $y$ -intercept: 3 ; no $x$ -intercepts
B) $y$ -intercept: 0; no $x$ -intercepts
C) $y$ -intercept: $3 ; x$ -intercept: 0
D) $x$ -intercept: 3; no $y$ -intercepts

Question 33

Find the x-intercepts and y-intercepts of the graph of the equation.

- $y=x^{2}-7$

A) y-intercept: $-7 ; x$ -intercepts: 0 and $\sqrt{7}$
B) y-intercept: $-7 ; x$ -intercepts: $\sqrt{7}$ and $-\sqrt{7}$
C) $y$ -intercept: $7 ; x$ -intercepts: $\sqrt{7}$ and $-\sqrt{7}$
D) y-intercept: $-7 ; x$ -intercept: $\sqrt{7}$

Question 34

sketch the graph of the equation.

- $y=3 x^{2}$

A)
B)
C)
D)

Question 35

sketch the graph of the equation.

- $y=x^{2}-5$

A)
B)
C)
D)

Question 36

sketch the graph of the equation.

- $y=\frac{1}{2} x^{2}$

A)
B)
C)
D)

Question 37

sketch the graph of the equation.

- $y=-x^{2}-4$

A)
B)
C)
D)

Question 38

sketch the graph of the equation.

- $y=\sqrt{x+5}$

A)
B)
C)
D)

Question 39

sketch the graph of the equation.

- $y=-\sqrt{36-x^{2}}$

A)
B)
C)
D)

Question 40

sketch the graph of the equation.

- $y=-\sqrt{8-x}$

A)
B)
C)
D)

Question 41

sketch the graph of the equation.

- $y=\sqrt{16-x^{2}}$

A)
B)
C)
D)

Question 42

sketch the graph of the equation.

- $y=\frac{1}{3} x^{3}-3$

A)
B)
C)
D)

Question 43

sketch the graph of the equation.

- $y=x^{3}+6$

A)
B)
C)
D)

Question 44

Use a graphing calculator to find the graph of the equation.

- $y=(x-3)^{3}-2$

A)
B)
C)
D)

Question 45

Use a graphing calculator to find the graph of the equation.

- $y=-(x-1)^{4}+5$

A)
B)
C)
D)

Question 46

Use a graphing calculator to find the graph of the equation.

- $y=x^{3}-3 x+2$

A)
B)
C)
D)

Question 47

Use a graphing calculator to find the graph of the equation.

- $y=x^{4}+x^{3}-5 x^{2}-4 x+4$

A)
B)
C)
D)

Question 48

Use a graphing calculator to approximate all real solutions of the equation.

- $y=x^{3}-3 x^{2}-25 x+75$

A) $25,3,75$
B) 3
C) $-3,3,5$
D) $-5,3,5$

Question 49

Use a graphing calculator to approximate all real solutions of the equation.

- $y=x^{3}-12 x-16$

A) $-2,-2,4$
B) $-2,2,4$
C) $-4,-2,2$
D) $2,-2,4$

Question 50

Use a graphing calculator to approximate all real solutions of the equation.

- $y=x^{4}+9 x^{3}+17 x^{2}-9 x-18$

A) $-6,-3,1,1$
B) $-6,-3,-1,1$
C) $-1,1,3,6$
D) $-3,-1,1,6$

Question 51

Solve the problem.

- Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 1993?

A) 250
B) 500
C) 650
D) 600

Question 52

Solve the problem.

- Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 1995?

A) 350
B) 700
C) 600
D) 750

Question 53

Solve the problem.

- Which month in 1989 had the lowest sales?

A) Month 8
B) Month 6
C) Month 2
D) Month 3

Question 54

Solve the problem.

- What was the increase in sales between month 5 and month 6 of 1990 ?

A) $\$ 800$
B) $\$ 8000$
C) $\$ 4$
D) $\$ 4000$

Question 55

Solve the problem.

- What were the total sales for the first 6 months of 1990 ?

A) $\$ 302,000$
B) $\$ 366,000$
C) $\$ 286,000$
D) $\$ 64,000$

Question 56

Solve the problem.

-The height $h$ in feet of a projectile thrown upward from the roof of a building after time $t$ seconds is shown in the graph below. How high will the projectile be after $0.9 \mathrm{~s}$ ?

A) $425 \mathrm{ft}$
B) $450 \mathrm{ft}$
C) $475 \mathrm{ft}$
D) $500 \mathrm{ft}$

Question 57

Solve the problem.

-The graph shows the relationship between current $I$ and resistance $R$ if the voltage is fixed. Find the current if the resistance is $2.1 \Omega$ .

A) $0.4 \mathrm{~A}$
B) $0.6 \mathrm{~A}$
C) $0.8 \mathrm{~A}$
D) $0.2 \mathrm{~A}$

Question 58

Find the slope of the line, if it is defined.

-Through $(2,-3)$ and $(-3,7)$

A) -2
B) 10
C) 5
D) 2

Question 59

Find the slope of the line, if it is defined.

-Through $(4,-8)$ and $(8,3)$

A) -5
B) $2 \frac{3}{4}$
C) $2 \frac{4}{3}$
D) Undefined

Question 60

Find the slope of the line, if it is defined.

-Through (-2, -7) and (-4, 3)

A) -5
B) Undefined
C) 10
D) -2

Question 61

Find the slope of the line, if it is defined.

-Through $(1,-9)$ and $(8,8)$

A) $2 \frac{3}{7}$
B) 1
C) Undefined
D) $-2 \frac{3}{7}$

Question 62

Find the slope of the line, if it is defined.

-Through (-5, -6) and $(-5,6)$

A) Undefined
B) 2
C) 6
D) 12

Question 63

Find the slope of the line, if it is defined.

-Through $(1,5)$ and $(5,5)$

A) 3
B) 0
C) 1
D) 7

Question 64

Find the slope of the line, if it is defined.

-Through the origin and $(2,-6)$

A) -3
B) -6
C) 2
D) 3

Question 65

Find the slope of the line, if it is defined.

-Through the origin and $(3,5)$

A) Undefined
B) $1 \frac{3}{2}$
C) $1 \frac{2}{3}$
D) 5

Question 66

Write an equation in slope-intercept form of a line satisfying the given conditions.

- $\mathrm{m}=-\frac{3}{7} ; \mathrm{b}=\frac{20}{7}$

A) $y=\frac{3}{7} x+\frac{20}{7}$
B) $y=-\frac{3}{7} x-\frac{20}{7}$
C) $y=-\frac{3}{7} x+\frac{20}{7}$
D) $y=\frac{3}{7} x-\frac{20}{7}$

Question 67

Write an equation in slope-intercept form of a line satisfying the given conditions.

- $\mathrm{m}=-\frac{3}{4} ; \mathrm{b}=5$

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

Question 68

Write an equation in slope-intercept form of a line satisfying the given conditions.

- $\mathrm{m}=\frac{5}{2}$ ; $\mathrm{b}=-2$

A) $y=-\frac{5}{2} x+2$
B) $y=\frac{5}{2} x+2$
C) $y=-\frac{5}{2} x-2$
D) $y=\frac{5}{2} x-2$

Question 69

Write an equation in slope-intercept form of a line satisfying the given conditions.

- $\mathrm{m}=\frac{1}{3}$ ; $\mathrm{b}=4$

A) $y=\frac{1}{3} x+4$
B) $y=-\frac{1}{3} x+4$
C) $y=-\frac{1}{3} x-4$
D) $y=\frac{1}{3} x-4$

Question 70

Write an equation in slope-intercept form of a line satisfying the given conditions.

- $\mathrm{m}=\frac{7}{3} ; \mathrm{b}=-3$

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

Question 71

Write an equation in slope-intercept form of a line satisfying the given conditions.

-Slope $-\frac{2}{5} ; y$ -intercept $\frac{18}{5}$

A) $y=-\frac{2}{5} x+\frac{18}{5}$
B) $y=-\frac{2}{5} x-\frac{18}{5}$
C) $y=\frac{2}{5} x+\frac{18}{5}$
D) $y=\frac{2}{5} x-\frac{18}{5}$

Question 72

Write an equation in slope-intercept form of a line satisfying the given conditions.

-Slope $-\frac{3}{4} ; y$ -intercept $\frac{27}{4}$

A) $y=\frac{3}{4} x+\frac{27}{4}$
B) $y=-\frac{3}{4} x+\frac{27}{4}$
C) $y=\frac{3}{4} x-\frac{27}{4}$
D) $y=-\frac{3}{4} x-\frac{27}{4}$

Question 73

Write an equation in slope-intercept form of a line satisfying the given conditions.

-Slope - $\frac{3}{5} ; y$ -intercept $\frac{7}{5}$

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

Question 74

Write an equation in slope-intercept form of a line satisfying the given conditions.

-Slope - $\frac{4}{9} ; y$ -intercept 3

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

Question 75

Write an equation in slope-intercept form of a line satisfying the given conditions.

-Slope $-\frac{5}{6} ;$ y-intercept 5

A) $y=\frac{5}{6} x+5$
B) $y=-\frac{5}{6} x-5$
C) $y=\frac{5}{6} x-5$
D) $y=-\frac{5}{6} x+5$

Question 76

Find the slope and the y-intercept of the line.

- $4 x+5 y=18$

A) $\mathrm{m}=-\frac{4}{5} ; \mathrm{b}=\frac{18}{5}$
B) $\mathrm{m}=-\frac{5}{4} ; \mathrm{b}=5$
C) $\mathrm{m}=\frac{4}{5} ; \mathrm{b}=18$
D) $\mathrm{m}=\frac{5}{4} ; \mathrm{b}=\frac{18}{5}$

Question 77

Find the slope and the y-intercept of the line.

- $-5 y=-2 x-19$

A) $\mathrm{m}=\frac{5}{2} ; \mathrm{b}=\frac{19}{5}$
B) $\mathrm{m}=-\frac{5}{2} ; \mathrm{b}=-5$
C) $\mathrm{m}=\frac{2}{5} ; \mathrm{b}=\frac{19}{5}$
D) $\mathrm{m}=-\frac{2}{5} ; \mathrm{b}=-19$

Question 78

Find the slope and the y-intercept of the line.

- $3 x-5 y=29$

A) $\mathrm{m}=\frac{3}{5} ; \mathrm{b}=-\frac{29}{5}$
B) $\mathrm{m}=-\frac{5}{3} ; \mathrm{b}=-5$
C) $\mathrm{m}=-\frac{3}{5} ; \mathrm{b}=29$
D) $\mathrm{m}=\frac{5}{3} ; \mathrm{b}=-\frac{29}{5}$

Question 79

Find the slope and the y-intercept of the line.

- $2 x-3 y=-22$

A) $\mathrm{m}=\frac{3}{2} ; \mathrm{b}=\frac{22}{3}$
B) $\mathrm{m}=-\frac{2}{3}$ ; $\mathrm{b}=-22$
C) $\mathrm{m}=\frac{2}{3} ; \mathrm{b}=\frac{22}{3}$
D) $\mathrm{m}=-\frac{3}{2} ; \mathrm{b}=-3$

Question 80

Find the slope and the y-intercept of the line.

- $y=\frac{9}{5} x$

A) $\mathrm{m}=0 ; \mathrm{b}=\frac{9}{5}$
B) $m=1 ; b=0$
C) $\mathrm{m}=\frac{9}{5} ; \mathrm{b}=0$
D) $\mathrm{m}=\frac{5}{9} ; \mathrm{b}=\frac{9}{5}$