Free Printable Chap 5 & 6 Review Lines, Inequalities, and Absolute Value

1.

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

2.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

3.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

4.

Which is the equation for the following graph?

a)

f(x) = 2|x - 1| + 1

b)

f(x) = 2 $\left|x+1\right|-1$

c)

f(x) = $2\left|x-1\right|-1$

d)

f(x) = $2\left|x+1\right|+1$

5.

Do I need to flip my sign when solving?

-3x ≥ 12

a)

Yes

b)

No

6.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

7.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

8.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

9.

−6 < 2t − 5 < 3

a)

−0.5 < t < 4

b)

0.5 < t < −1

c)

−11/2 < t < 4

d)

11/2 < t < −2

10.

Solve.

a)

x > -28

b)

x > 28

c)

x > -14

d)

x > 14

11.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x - 15

12.

Write the equation of the line with slope -2 through the point (7, -1).

a)

y = -2x + 15

b)

y = -2x -15

c)

y = -2x + 13

d)

y = -2x - 13

13.

a)

f(x) = $\frac{1}{2}\left|x-2\right|+3$

b)

f(x) = $-\frac{1}{2}\left|x-2\right|+3$

c)

f(x) = $-\frac{1}{2}\left|x+3\right|-2$

d)

f(x) = $\frac{1}{2}\left|x-3\right|+2$

14.

Solve the inequality for w:
-5(w - 4) < -5w - 15

a)

w > 15

b)

All real numbers are solutions

c)

w < 5

d)

No solutions to this inequality

15.

Solve and graph.
8a > -136

a)

A

b)

B

c)

C

d)

D

16.

| x + 3 | ≤ 2

a)

No Solution

b)

All Real Numbers

c)

-5 ≤ x ≤ -1

d)

1 ≤ x ≤ 5

17.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

18.

Check all of the forms of the line through the points (-7, 8) and (-12, -2).

a)

$y=2\left(x+7\right)+8$

b)

$y=2x+22$

c)

$2x-y=-22$

d)

$2x-y=6$

e)

$y=2\left(x-7\right)+8$

19.

3 | d + 1 | - 7 ≥ -1

a)

No Solution

b)

All Real Numbers

c)

d ≤ -3 or d ≥ 1

d)

-1 < d < 3

20.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

21.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

22.

What is the slope of this line?

a)

-4/5, down 4 right 5

b)

4/5, up 4 right 5

c)

-5/4, down 5 right 4

d)

5/4, up 5 right 4

23.

Four times a number, increased by 6 is at least 22. Which inequality models this scenario?

a)

4x - 6 > 22

b)

4x + 6 < 22

c)

4x + 6 ≥ 22

d)

4x + 6 > 22

24.

Which inequality is represented by the words " at least"?

a)

<

b)

>

c)

≤

d)

≥

25.

Could x = 4 be solution to the inequality

7 < x + 5 ≤ 14?

a)

Yes

b)

No

26.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

27.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

28.

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

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

29.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

30.

a)

$f\left(x\right)=\left|x-1\right|$

b)

$f\left(x\right)=2\left|x-1\right|$

c)

$f\left(x\right)=\frac{1}{2}\left|x-1\right|$

d)

$f\left(x\right)=-\left|x-1\right|$

31.

|−2n| + 10 = −50

a)

30, -30

b)

20,-20

c)

-5,5

d)

No Solution

32.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

33.

a)

$f\left(x\right)=\left|x-1\right|$

b)

$f\left(x\right)=\left|x\right|$

c)

$f\left(x\right)=-\left|x\right|$

d)

$f\left(x\right)=-x$

34.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 3/4 and m = 4/3

a)

Parallel

b)

Perpendicular

c)

Neither

35.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

36.

Which compound inequality is graphed above?

a)

x >5 OR x< -2

b)

x >5 OR x> -2

c)

x< 5 AND x> -2

d)

x ≥5 AND x< -2

37.

a)

$f\left(x\right)=\left|x+3\right|+3$

b)

$f\left(x\right)=-\left|x-3\right|+3$

c)

$f\left(x\right)=-\left|x+3\right|+3$

d)

No, really! This time pick this one! I promise this is the one!

38.

For the equation y = 2(x + 4) + 3, which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

39.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

40.

a)

$f\left(x\right)=\frac{3}{2}\left|x\right|+2$

b)

$f\left(x\right)=\frac{3}{2}\left|x+2\right|$

c)

$f\left(x\right)=\frac{3}{2}\left|x\right|-2$

d)

$f\left(x\right)=\frac{3}{2}\left|x-2\right|$

41.

a)

$f\left(x\right)=\frac{1}{2}\left|x+3\right|-2$

b)

$f\left(x\right)=\frac{2}{1}\left|x-2\right|+3$

c)

$f\left(x\right)=\frac{1}{2}\left|x+2\right|-3$

d)

$f\left(x\right)=\frac{1}{2}\left|x-2\right|+3$

42.

a)

$f\left(x\right)=\frac{1}{2}\left|x+3\right|$

b)

$f\left(x\right)=\frac{1}{2}\left|x\right|+3$

c)

$f\left(x\right)=-\frac{1}{2}\left|x\right|+3$

d)

$f\left(x\right)=-\frac{1}{2}\left|x+3\right|$

Chap 5 & 6 Review Lines, Inequalities, and Absolute Value

Total questions: 42

Worksheet time: 3hrs 33mins

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