Module 3 Mid Module Assessment Review

Module 3 Mid Module Assessment Review

By Nicole Dombrow

Multiple Choice

Which image is an example of an acute angle?

Multiple Choice

Which image is an example of an obtuse angle?

Multiple Choice

Which image is an example of a straight angle?

Multiple Choice

Which image is an example of a right angle?

Multiple Select

Which of the following angle pairs are adjacent? (Choose ALL that apply)

Multiple Choice

True or False. Angles 1 and 3 are adjacent angles.

• True

• False

Multiple Choice

True or False. Angles 2 and 3 are adjacent angles.

• True

• False

Multiple Choice

True or False. Angles 7 and 8 are adjacent angles.

• True

• False

Multiple Choice

Which of the following angle pairs are vertical angles?

• $$\angle1$$ and $$\angle2$$

• $$\angle2$$ and $$\angle4$$

• $$\angle2$$ and $$\angle3$$

• $$\angle3$$ and $$\angle4$$

Multiple Choice

Which angle has the same measure as  $$\angle2$$ ?

• $$\angle1$$  

• $$\angle3$$  

• $$\angle4$$  

Equations Vocabulary

Term

• a constant, variable or coefficients with a constant; usually separated by addition or subtraction

• example: -3x + 5 - 2x = 3

PERIMETER

• The length of the boundary of a closed figure is called its perimeter

• To find perimeter of a polygon, its perimeter will be the sum of all sides of the figure.

Multiple Choice

Find the perimeter of the following figure

• 9 cm

• 8 cm

• 10 cm

Fill in the Blanks

Fill in the Blanks

Multiple Choice

How many terms are in the following expression? $$2x+5-3y$$

• 2

• 3

• 4

• 5

Variable

• a symbol used to represent an unknown value (usually a letter)

• example: a, x, etc.

Multiple Choice

How many variables do you see in the expression below? $$2x+3y-5+6z$$  

• 3

• 4

• 7

Constant

• a number that stands alone; usually added or subtracted

• example: 3x + 7 (seven is the constant)

Multiple Select

Which of the following are considered constants in the expression below? Check all that apply. $$4x+2-7y+7-5$$  

• 4

• 2

• -7

• 7

• -5

Coefficient

• the number in front of a variable that means to multiply

• example: 3x (three is the coefficient)

Multiple Select

What are the coefficients in the expressions below? Check all that apply. $$-2x+6+4z+3$$  

• -2

• 6

• 4

• 3

Expression

• a mathematical statement that does not have an equal sign

• example: 5x + 3

Multiple Choice

Which of the following is an expression?

• 2x + 5 = 10

• 4 = 2x - 1

• 2x - 5

• 1.5x + 7 = 12

Multiple Choice

An expression has an equals sign.

• True

• False

Equation

• a mathematical statement that does have an equal sign

• example: 3x + 5 = 8

Multiple Select

Check every mathematical statement that is considered an equation.

• 7x + 7 = 21

• 1.75x + 6

• 24x - 4

• 3x + 4 = 19

Multiple Choice

Which of the following has an equals sign?

• Equation

• Expression

Solving equations

• use inverse operations to isolate the variable

• keep the equation balanced by performing the same operation on both sides of the equals sign

Multiple Choice

Which of the following inverse operations is incorrect?

• inverse of addition is subtraction

• inverse of multiplication is division

• inverse of division is squaring

• inverse of multiplication is division

3 = z + 6

• subtract 6 from both sides

• z = -3

r - ( -2 ) = -15

• rewrite as addition

• r + 2 = -15

• subtract 2 from both sides

• r = -17

Multiple Choice

How do we solve f - 12 = -4

• add -12 to both sides

• subtract 12 from both sides

• add 12 to both sides

• add 4 to both sides

-16 = -4p

• divide both sides by -4

• p = 4

k/3 = -30

• multiply both sides by 3

• k = -90

Multiple Choice

How do we solve -2k = -100?

• multiply by 2 on both sides

• divide by 2 on both sides

• add 100 to both sides

• divide by -2 on both sides

Multiple Choice

7 + g = 11

• g = 4

• g = -4

• g = 18

• g = -18

Multiple Choice

z/4 = -8

• z = -32

• z = 32

• z = 2

• z = -2

Operations

• addition, subtraction, multiplication and division

Like Terms

Multiple Choice

Which terms can be combined in the following expression? $$3y+2x-7y+6z-2$$

• 3y and 2x

• -7y and 6z

• 3y and -7y

• 2x and -2

Combining Like Terms

Multiple Choice

Simplify the following algebraic expression by combining like terms. $$4h+3f+3h-2f$$  

• 7h + f

• 7h + 5f

• 8h

• 8f

INEQUALITY

GREATER THAN

• is greater than

• is more than

LESS THAN

• is less than

• is fewer than

GREATER THAN OR EQUAL TO

• is greater than or equal to

• is at least

• is no less than

LESS THAN OR EQUAL TO

• is less than or equal to

• is at most

• is no more than

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

There are fewer than 50 people allowed in this area.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I need at least 30 orders to meet my qouta.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I see more than a dozen seagulls.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I can spend no more than $20 at the store.

• $$<$$

• $$>$$

• $$\le$$

• $$\ge$$

SOLUTION OF AN INEQUALITY

• a value that makes an inequality true

• an inequality can have more than one solution

SOLUTION SET

• the set of all solutions of an inequality

Multiple Select

CHOOSE ALL VALUES OF X THAT ARE A SOLUTION OF THE INEQUALITY.

$$X<-5$$  

• -25

• 0

• -8

• -4

• -10

GRAPH OF AN INEQUALITY

Multiple Choice

WHICH INEQUALITY IS REPRESENTED BY THE GRAPH?

• $$X\ <\ 1$$

• $$X\ \le\ 1$$

• $$X\ >\ 1$$

• $$X\ \ge\ 1$$

Multiple Choice

WHICH INEQUALITY IS REPRESENTED BY THE GRAPH?

• $$X\ <\ 2$$  

• $$X\ \ge\ 2$$  

• $$X\ >\ 2$$  

• $$X\ \le\ 2$$  

SOLVING INEQUALITIES

• You solve inequalities in much the same way you solve equations

• isolate the variable

• use INVERSE OPERATIONS

• keep your INEQUALITY balanced by doing the same operations on both sides of the INEQUALITY sign

Multiple Choice

x + 5 > 7

• x > -2
• x > 2
• x > 12
• x > -12

Multiple Choice

r - 14 ≥ 17

• r ≥ 3
• r ≥ -31
• r ≥ 31
• r ≥ -3

Multiple Choice

24 ≤ h + 15

• h ≥ -9
• h ≥ 9
• h ≤ 9
• h ≤ 39

Multiple Choice

y - 13 ≤ -15

• y ≤ 2
• y ≤ -2
• y ≤ 28
• y ≤ -28

Multiple Choice

Solve

• z≤1

• z>9

• z≤9

• z<9

Multiple Choice

Solve 

• a≤1
• a≤25
• a>1
• a<25

Multiple Choice

7n > 49

• n > 7
• n < 7
• n > 343
• n < 343

Multiple Choice

Solve the inequality
12 ≥ 6w

• w > 2
• w < 2
• w ≥ 2
• w ≤ 2

Poll

Here's the exception! When you multiply or divide both sides of the inequality by a negative number, you must flip/reverse the inequality sign!

• Got it! Just like in the video!

• Hmmm, I hope I remember. Feeling shaky!

Multiple Choice

Solve

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Multiple Choice

Solve for x.

Multiple Choice

Now, let's graph the solutions! Remember, open dot if the boundary IS NOT a solution (< or >) and a closed dot if the boundary IS a solution (< or >).

• Got it!

• I hope I can remember!

Multiple Choice

Solve and graph the solution

x - 41 > 22

Multiple Choice

Solve and graph the solution:

-11x > 99

Multiple Choice

Solve and graph the solution:

45p > 315

Multiple Choice

Solve and graph the solutions.

30 + n ≥ 50

Multiple Choice

Solve and graph the solution.