8th Grade Benchmark 1 Practice

8th Grade Benchmark 1 Practice

by Elzy Lindsey

​Module 1 Review - Exponents and Scientific Notation

​

​Students develop and use the Laws of Exponents to evaluate, simplify, and perform computations with expressions with powers. (8.EE.A.1, 8.EE.A.3, 8.EE.A.4).

​

Multiple Choice

Any quantity, other than zero, raised to a power of zero is always: 

• 0
• 1
• the original quantity
• -1

Multiple Choice

Simplify: (3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 9x⁶y⁷

• 6x⁶y⁷

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Multiple Choice

Simplify.

• x⁷
• 1/x³
• x³
• 1/x⁷

Multiple Choice

$$\left(x^4\right)^2$$  

• $$x^8$$  

• $$x^6$$  

Multiple Choice

$$\left(y^3\right)^4$$  

• $$y^7$$  

• $$y^{12}$$  

Multiple Choice

Simplify (evaluate):

3^-3

• -27

• -9

• -1/9

• 1/27

Multiple Choice

Are these two equivalent:

2² = (-2)²

• Yes

• No

Multiple Choice

Write this expression using positive exponent:

x^-7

• -7

• -7x

• 1/x⁷

• -1/x⁷

Multiple Choice

Write 0.00000054 in scientific notation.

• 54 x 10⁸
• 5.4 x 10⁷
• 54 x 10^-8
• 5.4 x 10^-7

Multiple Choice

Solve:
(2.1×10​²​​) × (3.0×10​⁴)

• 5.1 x 10²
• 6.3 x 10⁶
• 5.1 x 10⁶
• 6.3 x 10⁸

Multiple Choice

Divide.

• 3.9 x 10⁶
• 4 x 10²⁰
• 4 x 10⁶
• 3.9 x 10²⁰

Multiple Choice

Find the sum
(4x10²)+ (5.1x10²)

• 9.1 x 10⁴
• 9.1 x 10²
• 5.5 x 10
• 20.4 x 10⁴

Multiple Choice

In the expression $$x^5$$  what is the BASE?

• x

• 5

​Module 2 Review - Real Numbers

Students learn about the real number system by identifying, calculating, and estimating irrational numbers and comparing them to rational numbers. (8.NS.A.1, 8.NS.A.2, 8.EE.A.2)​

Multiple Choice

What is 2 divided by 3 as a decimal

• .66.... terminating

• .66..... repeating

• .6 terminating

Multiple Choice

Is the fraction 9/12 a repeating or terminating decimal?

• Repeating

• Terminating

Multiple Choice

Convert the fraction to a decimal: $$\frac{8}{11}$$  

• $$.\overline{16}$$  

• .72

• .16

• $$.\overline{72}$$  

Multiple Choice

What is the cube root of 125?

• 5
• -5
• 25
• -25

Multiple Choice

√100

• 15
• 10
• 11
• 12

Multiple Choice

√64

• 3
• 8
• 7
• 6

Multiple Choice

$$y^4$$   is the same as...

• $$y\times4$$  

• $$4y$$  

• $$y\cdot y\cdot y\cdot y$$  

Multiple Choice

$$Simplify\ \left(3x^4\right)\left(2x^3\right).\ \ \$$  *Reminder:There are no exponents outside the parentheses. 

• $$5x^7$$  

• $$6x^7$$  

• $$6x^{12}$$  

Multiple Choice

$$\left(4x^2\right)^3$$  is the same as... *Reminder: There are exponents inside AND outside the parentheses. You are raising a power to another power.

• $$\left(4\cdot3\cdot x\cdot x\right)\left(4\cdot3\cdot x\cdot x\right)$$  

• $$\left(4\cdot x\cdot x\cdot3\right)$$  

• $$\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)$$  

Multiple Choice

$$\frac{x^8}{x^4}$$  Simplify

• $$x^4$$  

• $$x^2$$  

• $$1^4$$  

Multiple Choice

Whole numbers are natural numbers together with "zero."

• True
• False

Multiple Choice

The number 100 is a perfect square.

• True
• False

Multiple Choice

What is true about irrational numbers?

• They are terminating decimals.
• They are non-repeating decimals.
• They are fractions.
• They are natural numbers.

Multiple Choice

Estimate the square root.

• 3
• 4
• 5
• 6

Multiple Choice

The √20 is between which two integers?

• 2 & 3
• 3 & 4
• 4 & 5
• 5 & 6

Multiple Choice

Which point most closely corresponds to the √8 on the number line below? (Click the question to see the picture)

• P
• Q
• R
• S

Multiple Choice

Which list of numbers is in order from least to greatest?

A. 5/8, 9/16, 5/12

B. 5/12, 9/16, 5/8

C. 9/16, 5/12, 5/8

D. 9/16, 5/8, 5/12

• A

• B

• C

• D

Multiple Choice

Put in the symbol to make the statement true...
-17.5   _________ -√121

• >
• <
• =

​Module 3 Review - Solve Equations with Variables on Each Side

​Students write and solve linear equations with variables on each side. (8.EE.C.7, 8.EE.C.7.A, 8.EE.C.7.B)

Multiple Choice

-8n-4 = -2+n-6-8n

• - 4.5
• 13
• 4
• 7

Multiple Choice

4x + 3 = 5x - 4

• 7/9
• 7
• 1

Multiple Choice

What is the first step to solve this equation:

11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Multiple Choice

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

• n=-6
• n= -5
• n= 8
• n= -4

Multiple Choice

-11 + 3(b + 5) = 7

• 1
• -1
• 3
• -3

Multiple Choice

$$5x+4=5x+4$$  

• one solution

• no solution

• infinite solutions

Multiple Choice

$$3\left(x+4\right)=3\left(x-8\right)$$  

• one solution

• no solution

• infinite solutions

Multiple Choice

$$4-2x=2x-4$$  

• one solution

• no solution

• infinite solutions

​Module 4 Review - Linear Relationships and Slope

Students graph and write equations to represent linear relationships. (8.EE.B.5, 8.EE.B.6, Foundational for 8.F.B.4, Foundational for 8.SP.A.3, Foundational for 8.F.A.3, Foundational for 8.EE.C.8.B)​

Multiple Choice

What is the unit rate in this proportional relationship?

• 60 miles/1 hour
• 120 miles/ 2 hours
• 1 mile/ 1 hour

Multiple Choice

Which statement best describes the relationship between x and y in the table?

• Proportional
• Not Proportional

Multiple Choice

What is the slope of the line

• -2/3

• 2/3

• 3/2

• -3/2

Multiple Choice

What is the slope of the line?

• Zero

• Undefined

• 1

• -1

Multiple Choice

Identify the slope (AC) of triangle ABC.

• 2

• 1/2

• -2

• -1/2

Multiple Choice

Identify the slope of EF in triangle DEF.

• 1

• -1

• 3

• -3

Multiple Choice

In a direct variation, y=39 when x=3.  Find the value of y when x=2.

• 26
• 3
• 58.5
• 2

Multiple Choice

 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

• y=32x
• y=16x
• y=2x
• y=(1/2)x

Multiple Choice

What is the correct slope-intercept form?

• y = mx + b

• y = mb + x

• y = x

• y = -mx + b

Multiple Choice

What would the slope of the graph be?

• Positive

• Negative

• 0

• Undefined

Multiple Choice

Write the equation of the line in slope-intercept form.

• y = -2x - 5

• y = 2x - 5

• y = -2x

• y = -1/2x - 5

Multiple Choice

Which is the graph of y=-x+2?

• A
• B
• C
• D

Multiple Choice

Which of these lines has a slope of -3?

• A
• B
• C
• D

Multiple Choice

#4 Which graph is correct for y = -¾x + 1?

• A
• B