Expressions, Equations, & Inequalities

Multiple Choice

Like terms have the same _____ and the same _____.

• variables and numbers
• signs and numbers
• variables and exponents
• variables and signs

Multiple Choice

A constant term has ______.

• no exponents
• no variables
• no numbers
• no letters

Multiple Choice

A coefficient is __________.

• the variable
• a constant
• an exponent
• the number that comes before the variable

Multiple Choice

Simplify by combining like terms.
m + 9 - 4m

• 5m
• m + 5m
• -3m + 9
• 4m

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

5a + 2a + 2a

• 9a

• 8a

• 7a

Multiple Choice

-6k + 7k=

• k

• -k

• 12k

• -12k

Multiple Choice

a + a + a + a

• a + 4

• 4a

• a to the fourth power

• 4a + 4

Multiple Choice

6x + 2x + 1 + 4

• 8x + 5

• 2x - 3

• 4x - 2

• 8x + 12

Multiple Choice

Simplify the expression: 7v + 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 14

Multiple Choice

3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

Multiple Choice

Fill in the blank:
4(3x + __) = 12x + 16

• 4
• 16
• 4x
• 12

Multiple Choice

-7(w - 4) + 3w - 27

• 4w + 15
• -4w + 1

Open Ended

Simplify the expression by using the Distributive Property

2(x + 8)

Open Ended

Simplify the expression by using the Distributive Property

4(6 + 2x)

Open Ended

Simplify the expression by using the Distributive Property

-3(4x + 1)

Open Ended

Simplify the expression by using the Distributive Property

-(8 - 2x)

Multiple Choice

Factor

14y - 20

• 7(2y - 3)

• 2(7y -10)

• 14(y-20)

Multiple Choice

Simplify

-(12 - 7x)

• 12 + 7x

• -12 + 7x

• 12 - 7x

Multiple Choice

Factor the following expression: 45x + 9

• 5x + 1

• 9(5 + 9)

• 9(5x + 9)

• 9(5x + 1)

Multiple Choice

Factor the following expression: 40x - 24y

• 8(5x - 3y)

• 5x - 3y

• 8(5 - 3)

• 8(5x - 3)

Multiple Choice

Factor the following expression: 9g - 30h + 12

• 3g - 10h + 4

• 3(3g - 10h + 4)

• 3(9g - 30h + 12)

• 3

Multiple Choice

(2x + 3) + (x + 5)

• 3x + 5
• 3x + 8
• 2x + 5
• 2x + 8

Multiple Choice

Simplify the following expression:  $$\left(x\ +\ 3\right)\ +\ \left(2x\ -1\right)$$   

• $$3x\ +\ 4$$  

• $$3x\ +\ 2$$  

• $$3x\ -\ 4$$  

• $$4x$$  

Multiple Choice

Simplify the following expression:  $$\left(3x\ +\ \frac{1}{2\ }\right)\ +\ \left(7x\ -\ 4\ \frac{1}{2}\right)$$  

• $$10x\ +\ 5$$  

• $$4x\ -4$$  

• $$3\ \frac{1}{2}x\ +\ 3\ \frac{1}{2}x$$  

• $$10x\ -\ 4$$  

Multiple Choice

Simplify (5x + 3) - (2x - 5)

• 3x + 8
• 3x - 2
• 7x + 8
• 7x - 2

Multiple Choice

Simplify the following expression: (-0.25x - 3) - (1.5x + 1.4)

• -1.75 x+ 1.7

• 1.75x - 4.4

• -1.75x - 4.4

• 1.75x + 4.4

Multiple Choice

Which expression is equivalent to:

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

• $$10x-7$$  

• $$10x-3$$  

• $$4x-7$$  

• $$4x-3$$  

Multiple Choice

Solve the equation:
-5x = 25

• x = 20
• x = -20
• x = -5
• x = 5

Multiple Choice

5 = f - 2

• 4
• 7
• -3
• 2

Multiple Choice

What would be the best first step to solving the equation?

• multiply both sides by 3
• multiply both sides by 4
• divide both sides by 3
• divide both sides by 4

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

Multiple Choice

Mrs. Oneal bought boxes of colored pencils for her art class. Each box contains 10 pencils. Mrs. Oneal bought 120 pencils in all. How many boxes did Mrs. Oneal buy?

• 10

• 12

• 110

• 130

Multiple Choice

Daniel is setting up rows of chairs for a concert. He decided to put 9 chairs in each row There are 45 chairs. Let x represent the number of rows of chairs.

Which equation can be used to find the number of rows of chairs Daniel needs to set up?

• 9x = 45

• x + 9 = 45

• x/9 = 45

• x - 9 = 45

Multiple Choice

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Multiple Choice

-5 + 7k = -19

• -3

• 5

• 2

• -2

Multiple Choice

Solve for a

• a= -2

• a= -6

• a= 3

• a= 15

Multiple Select

Choose all of the equations that are two step equations.

• $$\frac{x}{5\ }=\ 4$$

• $$6=\ 7\ -\ \frac{x}{3}$$

• $$12x\ -14=\ -2$$

• $$\frac{x}{6}\ +\ 7$$

Write a two step:

Valery had $15. She wanted to purchase some headphones that were $75. If she saves $3 a week from her chores, how long will it take her to reach her goal?

• 15 + 3w = 75

• w= 20

David had $255. If he goes below the balance of 25 then he gets charged each day it is below. He spends $10 a day on lunch. How many days until can he do this before he gets charged?

• 255- 10x = 25

• x = 23

Multiple Choice

WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• n=total cost pencils; 7n+10=24
• n=cost of 1 pencil; 7n-10=24
• n=cost of 1 pencil; 7n+10=24
• n=cost of 1 pencil; -7n-10=24

Multiple Choice

Figure out what n equals in this equation:
6n + 4 = -26

• n=-6
• n= -5
• n= 8
• n= -4

Multiple Choice

6p - 5 =13

• 12
• 15
• 3
• -3

Multiple Choice

Solve -5t + 9 = 24

• -3

• 3

• 12

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Multiple Choice

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Multiple Select

SOLVE AND GRAPH...

$$y\ -\ 6\ >-7\$$  

• $$y\ >\ -1$$  

• $$y\ >\ -13$$  

Multiple Select

SOLVE AND GRAPH...

$$b\ -\ 3.8\ \le\ 1.7$$  

• $$b\ \le\ -2.1$$  

• $$b\ \le\ 5.5$$  

Multiple Choice

Which inequality should you use?

• $$6p\ -\ 265\ \ge\ 1000$$

• $$6p\ -265\ \le\ 1000$$

• $$6p\ +\ 265\ \ge\ 1000$$

• $$6p\ +\ 265\ \le\ 1000$$

Multiple Choice

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Multiple Choice

x + 5 > 7

• x > -2
• x > 2
• x > 12
• x > -12

Multiple Choice

Solve the following inequality. Show your algebraic work!

• b > 6

• b < -4

• b > 1

• b < -12

Multiple Choice

.5(x - 8) < 2 

• x > 20
• x < 20
• x > 12
• x < 12

Multiple Choice

-2x + 2 > 3x - 8 

• x > -9
• x > 2
• x < -9 
• x < 2

Multiple Choice

3(x - 3) ≤ 2(x + 2)

• x ≤ -5
• x ≥ 5
• x ≥ 13
• x ≤ 13

Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a $$\ge$$  11

• a $$\le$$  11

Match

Match each phrase with the correct symbol.

• $$>$$  

• $$\ge$$  

• $$\le$$  

• $$<$$  

• $$\ne$$  

greater than

greater than or equal to

less than or equal to

less than

not equal to

• greater than

• greater than or equal to

• less than or equal to

• less than

• not equal to

​When graphing inequalities, the arrow should point toward the possible solutions.

​Graphing Inequalities​

​x > 6 or 6 < x

means x is any number that is greater than 6.

Drag and Drop

When graphing inequalities:

Use an open circle for ​​

Placeholder

.

Use a closed circle for ​​​​

Placeholder

.

Drag these tiles and drop them in the correct blank above

> or <

≥ or ≤

Match

Match each statement with the correct graph.

y < 6

y > 6

y ≤ 6

y ≥ 6

• y < 6

• y > 6

• y ≤ 6

• y ≥ 6

Multiple Choice

Would x < 7 be a open or closed circle?

• open

• closed

Multiple Choice

Would x < -10 be a open or closed circle?

• open

• closed

Poll

How do you feel about graphing inequalities?

• I can TEACH someone about this

• I understand

• I almost got it

• I'm lost

Multiple Choice

GRAPH THE INEQUALITY ON A NUMBER LINE.

$$x\ <\ -1$$  

Multiple Choice

$$TWICE\ A\ NUMBER\ y\ IS\ MORE\ THAN\ -\frac{5}{2}$$  

• $$2y\ <\ -\frac{5}{2}$$  

• $$2y\ >\ -\frac{5}{2}$$  

• $$2y\ \le\ -\frac{5}{2}$$  

• $$2y\ \ge\ -\frac{5}{2}$$  

Multiple Choice

A NUMBER n IS AT MOST NEGATIVE 10.

 

• $$n\ <\ -10$$  
  

• $$n\ >\ -10$$  

• $$n\ \le\ -10$$  

• $$n\ \ge\ -10$$  

Multiple Choice

Would x < 7 be a open or closed circle?

• open

• closed

Multiple Choice

Would x < -10 be a open or closed circle?

• open

• closed

Multiple Select

Click ALL that apply to the following inequality.

x < 8

• 9

• 4

• 6

• 8

• -8

Multiple Select

Click ALL that apply to the following inequality.

x > -2

• -3

• 1

• 0

• -2

• 2

Multiple Choice

Which inequality matches the situation in the problem? (See image!)

• A

• B

• C

• D

Multiple Choice

Which graph shows the solution to  

$$3x\ +\ 2\ \le14$$  ? (See image!)

• A

• B

• C

• D

Multiple Choice

Which inequality would have the graph in the image as its solution?

• A

• B

• C

• D

Multiple Choice

Pick the correct letter for: x < 6

• A
• B
• C
• D

Multiple Choice

Write an expression.  Anita needs at least a 90 grade (g) on her test to get an A in math class.

• g ≤ 90
• g ≥ 90
• g < 90
• g > 90