Free Printable Quiz 1.1 Equations and Inequalities

1.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

2.

Solve.

|x + 4| < 5

a)

x < -9 or x > 1

b)

-9 < x < 1

c)

x < 9 or x > -1

d)

-1 < x < 9

3.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

4.

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

5.

What is the correct first step?

a)

divide by 10

b)

multiply by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and

6.

| 2x + 12 | < 8
Which is the correct first step?

a)

2x + 12 < 8 and 2x+12 >-8

b)

2x + 12 < 8 or 2x+12 >-8

c)

2x + 12 < 8 and 2x+12 <-8

d)

2x + 12 < 8 or 2x+12 >-8

7.

What is the first step?

a)

Get the absolute value alone by dividing both sides by 5

b)

Drop the absolute value bars and add 7 and 5 together

c)

Get the absolute value alone by subtracting 5 from both sides

8.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

d)

2 > m > -1

9.

An absolute value inequality is

a)

an inequality that contains an absolute value expression

b)

impossible to solve

c)

an equation that contains an absolute value expression

d)

always going to have two solutions

10.

| -8x | < 8

What is the correct first step?

a)

separate into two inequalities with an "and" or a between statement

b)

separate into two inequalities with an "or" statement

c)

divide both sides by -8

d)

add 8 to both sides

11.

What is ALWAYS the first GOAL in solving an absolute value inequality?

a)

set up the positive case

b)

set up the negative case

c)

isolate the absolute value expression

d)

multiply or divide by the coefficient of the variable

12.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

13.

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

14.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

15.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

16.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

17.

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

a)

b)

c)

d)

18.

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

a)

b)

c)

d)

19.

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

20.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

21.

Solve the inequality.

x + 5 ≤ 13

a)

[8, ∞)

b)

[18, ∞)

c)

(-∞, 8]

d)

(-∞, 18]

22.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) or (5,∞)

c)

[-2,5]

d)

(-∞,-2] or [5,∞)

23.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

24.

Select the whole number(s) from the list below.

a)

-1, 0, 1

b)

0, 1, 2

c)

1, 2, 3

d)

-2, -1, 0

25.

Which number is rational?

a)

$\pi$

b)

$\sqrt{8}$

c)

$\frac{10}{3}$

d)

$\sqrt{11}$

26.

Identify the set that contains only natural numbers.

a)

{0, 1, 2, 3}

b)

{1, 2, 3, 4}

c)

{-1, 0, 1, 2}

d)

{ $\frac{1}{2}$ , 1, 2, 3}

27.

Which of the following statements is true?

a)

All integers are natural numbers.

b)

All natural numbers are whole numbers.

c)

All rational numbers are integers.

d)

All irrational numbers are not real numbers.

28.

Which of the following numbers is a rational number?

a)

$\sqrt{2}$

b)

$\pi$

c)

$\frac{3}{4}$

d)

$\sqrt{3}$

29.

-18.95 belongs to which sets:

a)

integers, rational, real

b)

rational, real

c)

irrational, real

d)

whole, integer, rational, real

30.

Evaluate:
$5xy-z^2\ ;\ when\ x=3,\ y=-2\ and\ z=4$

31.

Evaluate:

$g^2-3\left(h-g\right)\ ;\ when\ g=3\ and\ h=-2$

32.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

33.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

34.

Evaluate 3lyl + (y-x²)

if x = -1 and y = -5

35.

When do you need to switch the inequality sign in an algebraic inequality?

a)

When adding or subtracting positive terms

b)

When multiplying or dividing by a positive term

c)

When combining like terms

d)

When multiplying or dividing by a negative term

36.

What type of comparison in math uses the greater-than and less-than signs?

a)

Functions

b)

Inequalities

c)

Equations

d)

Variables

37.

$5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x$

x=_

(a)

38.

3(x-8)=3x-24

a)

No Solution

b)

x=3

c)

All Real Numbers

d)

x = - 2

39.

40.

solve for m:

$\frac{2}{3}\left(9m-6\right)=20$

41.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

42.

Which is the correct first step when solving for x.

$7-5\left(3x\ -\ 2\right)\ =\ 47$

a)

Cancel the 7 by subtracting 7 on both sides of the equation.

b)

Cancel the -5 by adding 5 on both sides of the equation.

c)

Cancel the 47 by subtracting 47 on both sides of the equation.

d)

Cancel the -5 by dividing by -5 on both sides of the equation.

43.

Match the following

a)

numbers, symbols and operations grouped together with no equal sign to represent a value

1.

Expression

b)

expressions with the same value

2.

Equivalent expressions

c)

two expressions of equal value separated by an equal sign

3.

Equation

d)

to find the value of an expression

4.

Evaluate

44.

When is this statement true? -lxl = x (assume x is not zero)

a)

This statement is never true.

b)

This statement is only true if the value of x is a positive value.

c)

This statement is only true if the value of x is a negative value.

d)

This statement is always true.

45.

On the interstate for someone to get a ticket for speed, they must be less than 45 mph or greater than 75 mph. What absolute value inequality describes the speeds of those receiving a ticket?

a)

|x - 120| less than or = 30

b)

|x - 60| less than or = 15

c)

|x + 120| greater than or = 30

d)

|x - 60| greater than or = 15

46.

What is the solution set for $−5x-10\ge2x+25$

47.

Solve the inequality: $\frac{1}{4}x+6\le\frac{3}{8}x-2$

48.

8 + 3|4x - 6| = 38

a)

x = 4

b)

x = -1, x = 4

c)

x = -1, x = 0

d)

x = -4, x = 0

Quiz 1.1 Equations and Inequalities - H

Total questions: 48

Worksheet time: 2hrs 12mins

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