Free Printable Applying Linear Relationships Test Practice

1.

When two slopes are "opposite reciprocals", the two lines are...

a)

Perpendicular

b)

Not perpendicular

c)

Parallel

d)

Horizontal

2.

Line 1 and line 2 shown on the graph are...

a)

Perpendicular

b)

Not perpendicular

c)

Parallel

d)

Horizontal

3.

Write the equation of a line with a y-intercept of 6 that is perpendicular to the line $y=15-\frac{3}{4}x$ .

a)

$y=6+\frac{4}{3}x$

b)

$y=6+\frac{3}{4}x$

c)

$y=6-\frac{4}{3}x$

d)

$y=6-\frac{3}{4}x$

4.

Write the equation of the line that contains the point (5,13) and is perpendicular to the line $y=10-\frac{1}{2}x$

a)

$y=3+2x$

b)

$y=-2+3x$

c)

$y=13-2x$

d)

$y=13+2x$

5.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

a)

YES

b)

NO

6.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

7.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

8.

Write an equation of a line that passes through the point (-2,3) and is perpendicular to the line x = 4

a)

y = 3

b)

x = -3

c)

y = -3

d)

x = 3

9.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

10.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are perpendicular.

11.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

12.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

13.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

14.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

15.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

a)

YES

b)

NO

16.

Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13

a)

YES

b)

NO

17.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

18.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

19.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

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

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

20.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

21.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are perpendicular.

22.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

23.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

24.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

25.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

2x + 5y = 8

b)

5x - 2y = 6

c)

-10x - 4y = 7

d)

-10x + 4y = 9

26.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

27.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

28.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an x-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

29.

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

a)

y = (-3/5)x + 2

b)

y = (-3/5)x -2

c)

y = (3/5)x + 2

d)

y = (5/3) + 2

30.

Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3

a)

y = 12

b)

y = 6

c)

x = 12

d)

x = 6

31.

Write an equation of a line that passes through the point (-2,3) and is parallel to the line x = 4

a)

y = -2

b)

y = 2

c)

x = 2

d)

x = -2

32.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

33.

Level 2

Which equation is parallel to:

y = 5/7x +2

a)

y = -7/5x +1

b)

y = 7/5x +4

c)

y = -5/7x -3

d)

y = 5/7x +5

34.

Level 3

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

35.

Level 3

Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)

a)

y = 2/3x - 3

b)

y = 2/3x - 11/3

c)

y = 2/3x - 4

d)

y = 2/3x - 5/3

36.

Level 4

Line m contains the points (-3, 4) and (1, 0). Write the equation of a line that would be parallel to this one, and pass through the point (-2, 6).

a)

y = -x + 4

b)

y = x + 6

c)

y = 3x - 5

d)

y = 2x

37.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

38.

What is the point-slope form of equation of the line that is PARALLEL to y = -2x - 6 and passes through the point (-3, 11)?

a)

y - 11 = -2 (x + 3)

b)

y - 11 = -2 (x - 3)

c)

y - 3 = -2 (x - 11)

d)

y + 3 = -2 (x - 11)

39.

Given that y - 11 = -2 (x + 3) is the point-slope form of equation of the line that passes through the point (-3, 11) is PARALLEL to y = -2x - 6, what is the slope-intercept form?

a)

y = -2x + 14

b)

y = -2x + 11

c)

y = -2x + 8

d)

y = -2x + 5

40.

Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?

a)

9x - 12y = 11

b)

3x = 7 + 4y

c)

-6x + 8y = 3

d)

16y = 13 + 6x

41.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

42.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=-6x\ -4

b)

$y=-6x+2$

c)

$y=-6x-2$

d)

$y=-6x+4$

43.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = 5x-3

c)

y = 5x+2

d)

y = 5x+5

44.

Write an equation of a line that passes through the point (-2,3) and is parallel to the line x=4

a)

y = -2

b)

y = 2

c)

x = 2

d)

x = -2

45.

Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3

a)

y = 12

b)

y = 6

c)

x = 12

d)

x = 6

46.

Which is the equation of a line that is parallel to

y=-3x-2

and goes through the point (-1,-2)?

a)

$y=-3x-3$

b)

$y=-3x-1$

c)

$y=-3x+1$

d)

$y=-3x-5$

47.

What is the equation of a line that passes through (4,-1) and is parallel to

y=\frac{1}{4}x+7

?

a)

$y=\frac{1}{4}x$

b)

$y=\frac{1}{4}x-2$

c)

$y=\frac{1}{4}x-1$

d)

$y=\frac{1}{4\ }x+1$

48.

Which is the equation of a line that passes through (4,-2) and is parallel to

y=\frac{1}{2}x-7

?

a)

$y=\frac{1}{2}x-4$

b)

$y=\frac{1}{2}x+4$

c)

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

d)

$y=\frac{1}{2}x+3$

49.

Which equation of a line passes through (-3,2) and is parallel to

y=x-6

?

a)

$y=x-1$

b)

$y=x+1$

c)

$y=x$

d)

$y=x+5$

50.

Which equation passes through (2,-1) and is parallel to

y=2x+2

?

a)

$y=2x$

b)

$y=2x-5$

c)

$y=2x+3$

d)

$y=2x+5$

51.

Which equation passes through (-5,-4) and is parallel to

y=\frac{1}{2}x+1

?

a)

$y=\frac{1}{2}x-\frac{3}{2}$

b)

$y=\frac{1}{2}x+\frac{2}{3}$

c)

$y=\frac{1}{2}x+\frac{3}{2}$

d)

$y=\frac{1}{2}x+4$

52.

Which equation passes through (3,3) and is parallel to

y=\frac{2}{3}x+1

?

a)

$y=\frac{2}{3}x$

b)

$y=\frac{2}{3}x-1$

c)

$y=\frac{2}{3}x+1$

d)

$y=\frac{2}{3}x+5$

53.

Which equation passes through (-2,0) and is parallel to

y=x-6

?

a)

$y=x-2$

b)

$y=x+2$

c)

$y=x-8$

d)

$y=x$

54.

Which is the equation of a line that passes through (3,5) and is parallel to a line that has a slope of -4?

a)

$y=-4x+2$

b)

$y=-4x-7$

c)

$y=-4x-2$

d)

$y=-4x+17$

55.

Which is the equation of a line that passes through the point (-4,7) and is parallel to a line that has a slope of 1/4?

a)

$y=\frac{1}{4}x+8$

b)

$y=\frac{1}{4}x+6$

c)

$y=\frac{1}{4}x-3$

d)

$y=\frac{1}{4}x+5$

56.

Which is the equation of a line that passes through the point (-1, -3) and is parallel to a line with the slope of -6?

a)

$y=-6x+3$

b)

$y=-6x-3$

c)

$y=-6x+5$

d)

$y=-6x-9$

57.

Which is the equation of a line that passes through the point (6,2) and is parallel to y = 5?

a)

$y=2$

b)

$y=6$

c)

$x=6$

d)

$x=2$

58.

Which is the equation of a line that is parallel to x = 8 and passes through the point (12, 22)?

a)

$y=12$

b)

$x=22$

c)

$y=22$

d)

$x=12$

59.

Which is the equation of a line that is parallel to y = -1 and passes through the point (0,0)

a)

$y=0$

b)

$x=0$

60.

What is the equation of a line that passes through (8,3) and is parallel to a line with a slope of zero?

a)

$y=3$

b)

$y=8$

c)

$x=3$

d)

$x=8$

61.

Which is the equation to a line that passes through (13, -6) and is parallel to a line with an undefined slope?

a)

$x=-6$

b)

$y=13$

c)

$x=13$

d)

$y=-6$

62.

Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

a)

y = 4x - 4

b)

y = -4x - 4

c)

y = -4

d)

y = -4x + 4

63.

A line that is parallel to this line would have what slope?
y= 2x - 7

a)

2

b)

1/2

c)

-1/2

d)

7

64.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

65.

Choose the linear equation that is parallel to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=4x-1$

66.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

measurements

d)

nothing

67.

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

a)

$y=\frac{1}{5}x-3$

b)

$y=5x-7$

c)

$y=5x+4$

d)

$y=-5x-3$

68.

Write an equation of a line PARALLEL to $y=-6x-1$ and goes through (1, 7).

a)

$y=-6x+13$

b)

$y=-6x+2$

c)

$y=6x+10$

d)

$y=-6x+15$

69.

$y=3x+2$ and $y=3x-3$
These lines are...

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

70.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

71.

Write an equation of a line PARALLEL to $y=-6x-1$ and goes through (1, 7).

a)

$y=-6x+13$

b)

$y=-6x+2$

c)

$y=6x+10$

d)

$y=-6x+15$

72.

What is the absolute value of -5?

|-5| = ?

a)

-5

b)

5

c)

+(-5)

d)

-5 and 5

73.

Solve for X

|X|=7

a)

X= 7

b)

X= -7

c)

X= 7 and X= -7

d)

No Solution

74.

Solve for X

|X| = -3

a)

X= 3 and X= -3

b)

X= 3

c)

X= -3

d)

No Solution

75.

What would be the correct setup for solving for X?

|X+3| = 5

a)

X+3= 5 and X+3= -5

b)

X+3= 5 ad X-3= 5

c)

X+3= -5 and X-3 = -5

d)

X+3= 5 and -X-3= -5

76.

What would be the correct way to write the problem before solving?

2|x-1|-6=4

a)

|x-1|=5

b)

x-1=5

c)

|x-1|=-5

d)

x-1=-5

77.

Solve for X

2|X+3|+3=1

a)

X= -4 and X= -2

b)

X=2 and X= -2

c)

X=0

d)

No Solution

78.

$\left|x\right|=\ -\ 5$

a)

5

b)

-5

c)

5 or -5

d)

no solution

79.

$\left|x\right|\ =\ 6$

a)

6

b)

-6

c)

6 or -6

d)

no solution

80.

What are the steps to solve this: $2\ +\ \left|x-4\right|\ =\ 5$

4 lines

81.

What are the steps to solve this: $3\left|x+1\right|\ +2=4$

4 lines

82.

$\left|x+5\right|\ =\ -3$

a)

$-2\ or\ -8$

b)

no solution

c)

$0$

83.

$\left|x+5\right|=0$

a)

no solution

b)

$0$

c)

$-5$

d)

$-5\ or\ 5$

84.

Solve:
$\left|\frac{3}{4}a-3\right|=9$

a)

$\left\{16,\ -8\right\}$

b)

$\left\{16,\ -16\right\}$

c)

$\left\{-8,\ 8\right\}$

d)

no solution

85.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

86.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

87.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

88.

Solve for x
l 3x + 2 l = 5

a)

x = -2.333... and x = 1

b)

x = 4 and x = 8

c)

x = 0

d)

No Solution

89.

| x – 3 |= 0

a)

3

b)

-3

c)

{-3, 3}

d)

no solution

90.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

91.

Solve for k.

|k - 9| = 4

a)

5, 13

b)

-5, -13

c)

5, -5

d)

13

92.

Solve this equation.
|-6x| = 30

a)

x = -5

b)

No solution

c)

x = 5, -5

d)

x = 5

93.

What is the absolute value of | 8 |?

a)

8

b)

-8

c)

0

d)

16

94.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

95.

Solve.

|x + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

96.

Solve.
|y - 4| ≥ 8

a)

y ≤ -4 or y ≥ 12

b)

-4 ≤ y ≤ -12

c)

y ≤ 4 or y ≥ -12

d)

-12 ≤ x ≤ 4

97.

Solve.
|y - 1| ≤ 6

a)

-7 ≤ y ≤ 5

b)

y ≤ -7 or y ≥ 5

c)

-5 ≤ y ≤ 7

d)

y ≤ -5 or y ≥ 7

98.

Solve.
|p + 3| ≥ 10

a)

-13 ≤ p ≤ 7

b)

p ≤ -13 or p ≥ 7

c)

-7 ≤ p ≤ 13

d)

p ≤ -7 or p ≥ 13

99.

Solve.
|3c - 4| < 12

a)

-2 2/3 < c < 5 1/3

b)

c < -5 1/3 or c > 2 2/3

c)

c < 5 1/3 or c > -2 2/3

d)

-5 1/3 < c < 2 2/3

100.

Solve.
|2t + ⅔| < 4

a)

-5/3 < t < 7/3

b)

t > 7/3 or t < -5/3

c)

-7/3 < t < 5/3

d)

t > 5/3 or t < -7/3

101.

Solve.

3|d - 4| ≥ 12

a)

d = -8 or d = 0

b)

no solution

c)

d ≥ 8 or d ≤ 0

d)

d = 40 or d = 32

102.

Solve.

|d + ⅔| + ¾ < 0

a)

no solution

b)

d > -9 and d < ½

c)

d > -¾ and d < 9

d)

d < -1/12 and d > -7/12

103.

Solve.
|5x + 7| < 22

a)

x < -5 ⅘ or x > 3

b)

-5 ⅘ < x < 3

c)

-3 < x < 5 ⅘

d)

x < -3 or x > 5 ⅘

104.

Solve.

|4v + 12| ≥ 6

a)

v ≤ -4.5 or v ≥ -1.5

b)

-4.5 ≤ v ≤ -1.4

c)

-1.5 ≤ v ≤ 4.5

d)

v ≤ -1.5 or v ≥ 4.5

105.

Solve.

3|2d + 9| + 13 > 10

a)

d > 5 or d < -1

b)

d < -4 or d > 5

c)

No Solution

d)

All real numbers

106.

Solve.

|-3f| ≥ 6.3

a)

-18.9 ≤ f ≤ 18.9

b)

no solution

c)

f ≤ -2.1 or f ≥ 2.1

d)

-2.1 ≤ f ≤ 2.1

107.

Solve.
|4m + 9| ≥ 21

a)

-7.5 ≤ m ≤ 3

b)

m ≤ -7.5 or m ≥ 3

c)

-3 ≤ m ≤ 7.5

d)

m ≤ -3 or m ≥ 7.5

108.

Solve.
6 - 2|m -3| > -4

a)

-8 < m < 2

b)

m < -8 or m > 2

c)

m < -2 or m > 8

d)

-2 < m < 8

109.

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Which inequality represents represents the acceptable number of words?

a)

|x - 30| < 500

b)

|x - 30| ≤ 500

c)

|x - 500| < 30

d)

|x - 500| ≤ 30

110.

Six students measure the acceleration (in m/s) of an object in free fall. The measured values are shown below. The students want to state that the absolute deviation of each measured value, x, from the mean is at most d. Find the value of d.

10.56, 9.52, 9.73, 9.80, 9.78, 10.91

a)

0.46

b)

0.86

c)

10.05

d)

9.79

111.

A company makes boxes of crackers that should weigh 213g. A quality control inspector randomly selects boxes to weigh. Any box that varies from the weight by more than 5g is sent back. What is an equation that shows the range of allowable weights for a box of crackers and what is the range?

a)

|w - 213| ≤ 5, 208 ≤ w ≤ 218

b)

|w - 213| ≤ 5, 0 ≤ w ≤ 10

c)

|w - 5| ≤ 213, 208 ≤ w ≤ 218

d)

|w - 5| ≤ 213, 0 ≤ w ≤ 10

112.

Solve: |x + 3| < 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

5 < x < 11

113.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

114.

Solve: |x - 3| < 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

115.

Solve: |x - 3| > 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

116.

Solve: |2x + 1| ≤ 19

a)

x ≥ 9 or x ≤ -10

b)

-10 ≤ x ≤ 9

c)

x ≥ 10 or x ≤ -9

d)

-9 ≤ x ≤ 10

117.

Solve: |2x - 1| ≥ 19

a)

x ≥ 9 or x ≤ -10

b)

-10 ≤ x ≤ 9

c)

x ≥ 10 or x ≤ -9

d)

-9 ≤ x ≤ 10

118.

Solve: |2x - 1| ≤ 19

a)

x ≥ 9 or x ≤ -10

b)

-10 ≤ x ≤ 9

c)

x ≥ 10 or x ≤ -9

d)

-9 ≤ x ≤ 10

119.

Solve: |2x + 1| ≥ 19

a)

x ≥ 9 or x ≤ -10

b)

-10 ≤ x ≤ 9

c)

x ≥ 10 or x ≤ -9

d)

-9 ≤ x ≤ 10

120.

Solve: |k| < 8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

121.

Solve: |k| > 8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

122.

Solve: |k| > -8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

123.

Solve: |k| < -8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

124.

Solve.

a)

-1 < r or r < 9

b)

-1 < r < 9

c)

r < 9

d)

-1 < r

125.

Solve.

a)

b < -8

b)

b > -8

c)

All real numbers

d)

No solution

126.

Correct or incorrect?

a)

Correct

b)

Incorrect

127.

Solve.

a)

no solution

b)

-6 ≤ r ≥ 8

c)

6 > r > -8

d)

-6 < r < 8

128.

Solve the absolute Value inequality and graph.

a)

A

b)

B

c)

C

d)

D

129.

Solve the following Compound Inequality $3x\ge9\ or\ 5+x<6$

a)

$x<1\ or\ x\le3$

b)

x<1\ or\ x\ge3

c)

$x<1\ or\ x\ge-3$

d)

$x<1\ or\ x\le-3$

130.

Does the following graph match the compound inequality

$x<1\ or\ x\ge3$

a)

True

b)

False

131.

Solve the following Compound Inequality $2x+9>17\ or\ 5x+10<10$

a)

$x<0\ or\ x<4$

b)

$x>0\ or\ x>4$

c)

$x<0\ or\ x>4$

d)

$x>0\ or\ x<4$

132.

Solve the following Compound Inequality $-3\left(2x+1\right)<-15\ or\ 1-x\ge5$

a)

$x\ge2\ or\ x\le-4$

b)

$x\le-4\ or\ x>2$

c)

$x\ge-4\ or\ x<2$

d)

$x<-4\ or\ x>2$

133.

Solve the following "and" Compound Inequality

$-27<7x-13<8$

a)

$x>-2\ and\ x<3$

b)

$x<-2\ and\ x<3$

c)

$x>-2\ and\ x>3$

d)

$x>2\ and\ x<3$

134.

Which compound inequality matches the following "And" Compound Inequality

$x>-2\ and\ x<3$

a)

$-2<x<3$

b)

$-2>x<3$

135.

Which graph matches the following "And" Compound Inequality

$x>-2\ and\ x<3$

a)

b)

136.

Solve the following the Compound Inequality $-2<2\left(x-6\right)\le4$

a)

$5<x\le8$

b)

$5>x\ge8$

c)

$x<5\ and\ x\ge8$

d)

$x>5\ and\ x\le8$

137.

How do you feel about solving Compound Inequalities?

a)

Great

b)

Good

c)

Okay

d)

More Help

138.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

139.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

140.

When graphing "AND" inequalites, shading looks like___

a)

Shading that always connects the 2 dots.

b)

Shading that always points away from each dot

c)

2 shaded arrows pointing in same direction(both left)

d)

2 shaded arrows pointing in same direction (both right)

141.

When graphing the solutions to "OR" inequalities, The shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points away and never crosses.

c)

Shading that points toward each other and ALWAYS crosses

d)

Shading that points opposite, but sometimes crosses.

142.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

143.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

144.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

145.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

146.

Write an inequality for Graph 1.

a)

x < -2 AND x > 5

b)

x < -2 OR x > 5

c)

x > -2 OR x < 5

d)

-2 < x < 5

147.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

148.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

149.

a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

150.

a)

x ≤ 3 and x > -2

b)

x < -2 or x ≥ 3

c)

x > -2 or x < 3

d)

x < 3 and x ≥ -2

151.

a)

x < 0 or x ≥ 2

b)

x < 0 or x > 2

c)

x ≤ 0 or x ≥ 2

d)

x ≤ 0 or x > 2

152.

What inequality is shown?
Pay close attention to the signs!

a)

x ≥ 0 OR x < 5

b)

0 ≤ x ≤ 5

c)

0 ≤ x < 5

d)

0 ≥ x > 5

153.

Less than:

a)

≥

b)

≤

c)

<

d)

>

154.

Less than or equal to:

a)

≤

b)

<

c)

>

d)

≥

155.

Greater than or equal to:

a)

<

b)

≤

c)

≥

d)

>

156.

Greater than

a)

<

b)

>

c)

≥

d)

≤

157.

Which compound inequality is graphed above?

a)

-2 < x ≤ 2

b)

-2 > x ≤ 2

c)

-2 < x < 2

d)

-2 ≥ x < 2

158.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

159.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

160.

2<x+2<5

a)

0<x<3

b)

4<x<7

c)

4<x<3

d)

0<x<7

161.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

162.

a)

A

b)

B

c)

C

d)

D

163.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

164.

What inequality is graphed?

a)

x > 2 and x < 4

b)

x ≥ 2 and x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

165.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

166.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

167.

-2 < x - 9 < 3

a)

x < 12

b)

7 < x

c)

7 < x < 12

168.

Solve and graph 3d - 4 < -7 OR 5d + 2 >12

a)

b)

c)

d)

169.

Solve and graph. -3 < 3x < 6

a)

b)

c)

d)

Applying Linear Relationships Test Practice

Total questions: 169

Worksheet time: 18hrs 39mins

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