Unit 5 & 6 Practice

Multiple Choice

When adding integers with the SAME sign...

• The sign stays the same
• The sign becomes the opposite
• the sign becomes positive
• the sign becomes negative

Multiple Choice

Which operation should you perform first in the expression

$$\left(2+5\right)\ -\ 4^2$$  

• addition

• multiplication

• parenthesis

• subtraction

Multiple Choice

Find the prime factorization of 420

Make sure your numbers are in order. Bases should be from least to greatest

• 2² • 3 • 5 • 7

• 7⁷

• 2² • 3 • 11

• 2³ • 3 • 7

Multiple Choice

Which number is the BASE?
2³ = 8

• 2
• 3
• 8
• not here

Multiple Choice

Which number is the EXPONENT?
4^{2 =} 16

• 4
• 2
• 16
• not here

Multiple Choice

Name the exponent in 2³

• 2

• 3

• 6

• 8

Multiple Choice

2 x 2 x 2  or 2³ is the prime factorization of

• 6
• 12
• 22
• 8

Multiple Choice

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)

Multiple Choice

Which expression is equivalent to $$5\left(4a-3b\right)$$ ?

• $$20a+15$$

• $$20a+15b$$

• $$20a-15b$$

• $$9a+2a$$

• $$9a+8a$$

Multiple Choice

What inequality does the number line graph represent?

• x > 5
• x < −5
• x ≥ 5
• x ≥ −5

Multiple Choice

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

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Multiple Choice

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

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

15 > -5 + z

• z < 20

• z > 20

• z > 10

• 10 > z

Multiple Choice

8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Multiple Choice

Match the graph with its inequality.

• a > 11

• a $$<$$ 11

• a ≥ 11

• a $$\le$$ 1

Multiple Choice

Solve

• a ≤ 1

• a ≤ 25

• a > 1

• a < 25

Graphing Inequalities

Things to Remember:

-The inequalities that contains the equal signs are closed circles when modeling on the number line.

-The inequalities without the equal sign are open circles when modeling on the number line.

Multiple Choice

2x > 12

• x > 6

• x < 6

• x ≥ 6

• x ≤ 6

Multiple Choice

What inequality does the number line graph represent?

• x >= 3
• x > 3
• x < -3
• x <= 3

Multiple Choice

s - 10 ≤ 1

• s ≤ 11
• s ≤ 9
• s ≥ 11
• s ≥ 9

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

When solving 1-step Inequalities,

• use inverse operations

• graph your result on a number line

• reverse the inequality symbol ONLY if you multiplied or divided by a negative to isolate the variable

Solution

• Divide both sides by -3

• reverse the inequality symbol

Solution

• multiply by -3

• flip the sign

Inequalities are just like equations, but without the = sign.

Multiple Choice

Solve

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Multiple Choice

Solve
-5m < 10

• m < -2
• m > -2
• m < -50
• m > -50

Multiple Choice

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

Multiple Choice

An unknown number decreased by 9 is at most 25. What is the number?

• x - 9  $$\ge$$   25

• x - 9 ≤ 25

• x - 9 < 25

• x - 9 > 25

Multiple Choice

Tell whether the number is a solution to the inequality:

5x > 30; when x = 4

• IS a solution

• Is NOT a solution

Multiple Select

Which number(s) would be a solution to the inequality? Select all that apply.

5x < 20

• x = 0

• x = 6

• x = 3

• x = 20

Multiple Choice

Which expression best matches the model above?

• 3x-3

• -3x-3

• 3x+3

• -3x+3

Multiple Choice

Solve for x

• x = 4

• x = 1

• 2x = 4

• x = 2

Jot this down in your journal if you don't have it

Notice the purple base

We need to find the AREA of the base (purple color) first.

Notice the Length and Width of the base is 3 x 2 = 6

Multiple Choice

This shape has a length of 10 mm and a width of 8 mm. If the volume of this shape is 320 mm³. What is the height?

• 4 mm

• 4 mm³

• 3 mm

• 3 mm³