Question 1

Choose the ordered pair which is a solution of the inequality.
-$2 x+4 y>8$
$(0,1),(0,0),(2,2),(2,1)$

Accepted Answer

A)  $(0,1)$ 
B)  $(0,0)$ 
C)  $(2,2)$ 
D)  $(2,1)$ 
A)  $(0,1)$ 
B)  $(0,0)$ 
C)  $(2,2)$ 
D)  $(2,1)$

Question 2

Find an equation of the line that contains the given pair of points. Write the equation in the form $\mathbf{y}=\mathbf{m x}+\mathbf{b}$.
-$(-8,0)$ and $(5,-2)$

Accepted Answer

A)  $y=\frac{2}{13} x-\frac{16}{13}$ 
B)  $y=-\frac{2}{13} x-\frac{16}{13}$ 
C)  $y=\frac{8}{7} x+\frac{26}{7}$ 
D)  $y=-\frac{8}{7} x+\frac{26}{7}$ 
A)  $y=\frac{2}{13} x-\frac{16}{13}$ 
B)  $y=-\frac{2}{13} x-\frac{16}{13}$ 
C)  $y=\frac{8}{7} x+\frac{26}{7}$ 
D)  $y=-\frac{8}{7} x+\frac{26}{7}$

Question 3

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary.
-$3 \mathrm{x}-3 \mathrm{y}=12 ;(-1,-5),(1,-3)$

Accepted Answer

Show that @#LAT-DLM& is a solution:
 @#IMG-DLM& TR

Question 4

Find an equation of the line that contains the given pair of points. Write the equation in the form $\mathbf{y}=\mathbf{m x}+\mathbf{b}$.
-$(2,-7)$ and $(9,-7)$

Accepted Answer

A)  $x=2$ 
B)  $x=-7$ 
C)  $y=-7$ 
D)  $y=9$ 
A)  $x=2$ 
B)  $x=-7$ 
C)  $y=-7$ 
D)  $y=9$

Question 5

Choose the ordered pair which is a solution of the inequality.
-$2 \mathrm{x}+3 \mathrm{y} \leq 5$
$(1,2),(3,2),(1,1),(0,2)$

Accepted Answer

A)  $(1,2)$ 
B)  $(1,1)$ 
C)  $(3,2)$ 
D)  $(0,2)$ 
A)  $(1,2)$ 
B)  $(1,1)$ 
C)  $(3,2)$ 
D)  $(0,2)$

Question 6

Find the coordinates of the $y$-intercept and the $x$-intercept, in that order.
-$-2 x+4 y=8$

Accepted Answer

A)  $(-4,-8)(-8,8)$ 
B)  $(-8,0)(-8,0)$ 
C)  $(0,-8)(0,-8)$ 
D)  $(-4,0)(0,2)$ 
A)  $(-4,-8)(-8,8)$ 
B)  $(-8,0)(-8,0)$ 
C)  $(0,-8)(0,-8)$ 
D)  $(-4,0)(0,2)$

Question 7

Find the slope of the line going through the pair of points.
-$(4.4,-5.4),(0.6,-2.2)$

Accepted Answer

A)  0.8 
B)  -3.8 
C)  3.2 
D)  -0.8 
A)  0.8 
B)  -3.8 
C)  3.2 
D)  -0.8

Question 8

Determine whether the given ordered pair is a solution of the equation.
-$5 x-4 y=32 ;(4,3)$

Accepted Answer

A) True 
 B)False

Question 9

Solve the problem.
- 
Let $\mathrm{x}=28$ and $\mathrm{y}=7$. Find the pitch of the roof.

Accepted Answer

A)  $\frac{1}{2}$ 
B)  $\frac{1}{4}$ 
C)  $\frac{1}{3}$ 
D)  $\frac{1}{6}$ 
A)  $\frac{1}{2}$ 
B)  $\frac{1}{4}$ 
C)  $\frac{1}{3}$ 
D)  $\frac{1}{6}$

Question 10

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
-$\frac{7}{16} x+\frac{y}{2}=3$
$-\frac{8}{7} \mathrm{x}+\mathrm{y}=-5$

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 11

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$4 \mathrm{x}-8 \mathrm{y}=8$

Accepted Answer

A)  $(0,-1),(2,0)$
  
B)  $(0,-1),(-2,0)$
  
A)  $(0,-1),(2,0)$
  
B)  $(0,-1),(-2,0)$

Question 12

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form.
-$(0,3), m=\frac{3}{5}$

Accepted Answer

A)  $y=-\frac{5}{3} x+\frac{1}{3}$ 
B)  $y=\frac{3}{5} x-\frac{1}{3}$ 
C)  $y=\frac{3}{5} x+3$ 
D)  $y=-\frac{3}{5} x+3$ 
A)  $y=-\frac{5}{3} x+\frac{1}{3}$ 
B)  $y=\frac{3}{5} x-\frac{1}{3}$ 
C)  $y=\frac{3}{5} x+3$ 
D)  $y=-\frac{3}{5} x+3$

Question 13

Plot the ordered pairs on the rectangular coordinate system provided
-$\mathrm{A}\left(-\frac{2}{3},-6\right), \mathrm{B}(-5,5)$

Accepted Answer

The answer of Plot the ordered pairs on the rectangular...

Question 14

Find the slope of the line.
-

Accepted Answer

A)  0 
B)  Undefined 
C)  $\frac{3}{2}$ 
D)  -1 
A)  0 
B)  Undefined 
C)  $\frac{3}{2}$ 
D)  -1

Question 15

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$x+5 y=5$

Accepted Answer

A)  $(1,0),(0,5)$
  
B)  $(5,0),(0,1)$
  
A)  $(1,0),(0,5)$
  
B)  $(5,0),(0,1)$

Question 16

Choose the ordered pair which is a solution of the inequality.
-$2 \mathrm{x}-4 \mathrm{y} \leq 6$
$(3,-1),(0,-2),(1,-1),(2,-2)$

Accepted Answer

A)  $(0,-2)$ 
B)  $(3,-1)$ 
C)  $(1,-1)$ 
D)  $(2,-2)$ 
A)  $(0,-2)$ 
B)  $(3,-1)$ 
C)  $(1,-1)$ 
D)  $(2,-2)$

Question 17

Graph the linear inequality.
-3X+5Y$\le$-15

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

Find the slope of the line.
-$x=2$

Accepted Answer

A)  2 
B)  0 
C)  -2 
D)  Undefined 
A)  2 
B)  0 
C)  -2 
D)  Undefined

Question 19

Draw a line that has the given slope and $y$-intercept.
-Slope - 5; y-intercept $(0,4)$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 20

Find the coordinates of the labeled points.
-

Accepted Answer

A)  $\mathrm{A}(-3,0)$; $\mathrm{B}(-3,-3)$ 
B)  $\mathrm{A}(-3,0)$; $\mathrm{B}(3,-3)$ 
C)  $\mathrm{A}(3,0)$; $\mathrm{B}(3,-3)$ 
D)  $\mathrm{A}(-3,3)$; $\mathrm{B}(3,-3)$ 
A)  $\mathrm{A}(-3,0)$; $\mathrm{B}(-3,-3)$ 
B)  $\mathrm{A}(-3,0)$; $\mathrm{B}(3,-3)$ 
C)  $\mathrm{A}(3,0)$; $\mathrm{B}(3,-3)$ 
D)  $\mathrm{A}(-3,3)$; $\mathrm{B}(3,-3)$

Choose the ordered pair which is a solution of the inequality. - $2 x+4 y>8$ $(0,1),(0,0),(2,2),(2,1)$

Find an equation of the line that contains the given pair of points. Write the equation in the form $\mathbf{y}=\mathbf{m x}+\mathbf{b}$ . - $(-8,0)$ and $(5,-2)$

Find an equation of the line that contains the given pair of points. Write the equation in the form $\mathbf{y}=\mathbf{m x}+\mathbf{b}$ . - $(2,-7)$ and $(9,-7)$

Choose the ordered pair which is a solution of the inequality. - $2 \mathrm{x}+3 \mathrm{y} \leq 5$ $(1,2),(3,2),(1,1),(0,2)$

Find the coordinates of the $y$ -intercept and the $x$ -intercept, in that order. - $-2 x+4 y=8$

Find the slope of the line going through the pair of points. - $(4.4,-5.4),(0.6,-2.2)$

Determine whether the given ordered pair is a solution of the equation. - $5 x-4 y=32 ;(4,3)$

Solve the problem. - $Solve the problem. - Let \mathrm{x}=28 and \mathrm{y}=7 . Find the pitch of the roof.$ Let $\mathrm{x}=28$ and $\mathrm{y}=7$ . Find the pitch of the roof.

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - $\frac{7}{16} x+\frac{y}{2}=3$ $-\frac{8}{7} \mathrm{x}+\mathrm{y}=-5$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $4 \mathrm{x}-8 \mathrm{y}=8$ $Find the x - and y -intercepts for the equation. Then graph the equation. - 4 \mathrm{x}-8 \mathrm{y}=8$

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - $(0,3), m=\frac{3}{5}$

Plot the ordered pairs on the rectangular coordinate system provided - $\mathrm{A}\left(-\frac{2}{3},-6\right), \mathrm{B}(-5,5)$ $Plot the ordered pairs on the rectangular coordinate system provided - \mathrm{A}\left(-\frac{2}{3},-6\right), \mathrm{B}(-5,5)$

Find the slope of the line. -

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $x+5 y=5$

Choose the ordered pair which is a solution of the inequality. - $2 \mathrm{x}-4 \mathrm{y} \leq 6$ $(3,-1),(0,-2),(1,-1),(2,-2)$

Graph the linear inequality. -3X+5Y $\le$ -15 $Graph the linear inequality. -3X+5Y \le -15$

Find the slope of the line. - $x=2$

Draw a line that has the given slope and $y$ -intercept. -Slope - 5; y-intercept $(0,4)$

Find the coordinates of the labeled points. -

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

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Exam 3: Graphs of Linear Equations

Choose the ordered pair which is a solution of the inequality. - 2x+4y>82 x+4 y>82x+4y>8 (0,1),(0,0),(2,2),(2,1)(0,1),(0,0),(2,2),(2,1)(0,1),(0,0),(2,2),(2,1)

Find an equation of the line that contains the given pair of points. Write the equation in the form y=mx+b\mathbf{y}=\mathbf{m x}+\mathbf{b}y=mx+b . - (−8,0)(-8,0)(−8,0) and (5,−2)(5,-2)(5,−2)

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. - 3x−3y=12;(−1,−5),(1,−3)3 \mathrm{x}-3 \mathrm{y}=12 ;(-1,-5),(1,-3)3x−3y=12;(−1,−5),(1,−3)

Find an equation of the line that contains the given pair of points. Write the equation in the form y=mx+b\mathbf{y}=\mathbf{m x}+\mathbf{b}y=mx+b . - (2,−7)(2,-7)(2,−7) and (9,−7)(9,-7)(9,−7)

Choose the ordered pair which is a solution of the inequality. - 2x+3y≤52 \mathrm{x}+3 \mathrm{y} \leq 52x+3y≤5 (1,2),(3,2),(1,1),(0,2)(1,2),(3,2),(1,1),(0,2)(1,2),(3,2),(1,1),(0,2)

Find the coordinates of the yyy -intercept and the xxx -intercept, in that order. - −2x+4y=8-2 x+4 y=8−2x+4y=8

Find the slope of the line going through the pair of points. - (4.4,−5.4),(0.6,−2.2)(4.4,-5.4),(0.6,-2.2)(4.4,−5.4),(0.6,−2.2)

Determine whether the given ordered pair is a solution of the equation. - 5x−4y=32;(4,3)5 x-4 y=32 ;(4,3)5x−4y=32;(4,3)

Solve the problem. - Let x=28\mathrm{x}=28x=28 and y=7\mathrm{y}=7y=7 . Find the pitch of the roof.

Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. - 716x+y2=3\frac{7}{16} x+\frac{y}{2}=3167​x+2y​=3 −87x+y=−5-\frac{8}{7} \mathrm{x}+\mathrm{y}=-5−78​x+y=−5

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - 4x−8y=84 \mathrm{x}-8 \mathrm{y}=84x−8y=8

Find an equation of the line containing the given point and having the given slope. Write the equation in slope-intercept form. - (0,3),m=35(0,3), m=\frac{3}{5}(0,3),m=53​

Plot the ordered pairs on the rectangular coordinate system provided - A(−23,−6),B(−5,5)\mathrm{A}\left(-\frac{2}{3},-6\right), \mathrm{B}(-5,5)A(−32​,−6),B(−5,5)