First Quarter Reviewer

Is 0 a irrational number? YES NO 8.NS.1.a Recognize the differences between rational and irrational numbers. Is 0 a irrational number? YES NO

Is 0 a irrational number? NO 8.NS.1.a Recognize the differences between rational and irrational numbers. Is 0 a irrational number? NO Irrational numbers cannot be written as 𝑎 𝑏 . When written as decimals, irrational numbers do not terminate and repeat.

Is 3.815 a rational number YES NO 8.NS.1.a Recognize the differences between rational and irrational numbers. Is 3.815 a rational number YES NO

Is 3.815 a rational number YES 8.NS.1.a Recognize the differences between rational and irrational numbers. Is 3.815 a rational number YES

Is 3 2 6 a rational number? YES NO 8.NS.1.a Recognize the differences between rational and irrational numbers. Is 3 2 6 a rational number? YES NO

Is 3 2 6 a rational number? YES 8.NS.1.a Recognize the differences between rational and irrational numbers. Is 3 2 6 a rational number? YES

8.NS.1.b Understand that all real numbers have a decimal expansion. Write 0.75 as a fraction in simplest form.

8.NS.1.b Understand that all real numbers have a decimal expansion. Write 0.75 as a fraction in simplest form.

8.NS.1.b Understand that all real numbers have a decimal expansion. Write −3 100 as a decimal number.

8.NS.1.b Understand that all real numbers have a decimal expansion. Write −3 100 as a decimal number.

8.NS.1.b Understand that all real numbers have a decimal expansion. Write 0.34 as a fraction in simplest form.

Which of the following numbers are rational numbers? 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Which of the following numbers are rational numbers? 𝟕 𝟗 𝟎 𝟒 𝟏𝟎

Which of the following numbers are rational numbers? 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Which of the following numbers are rational numbers? 𝟗 𝟎 𝟒 𝟏𝟎

Which of the following is a natural number? 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Which of the following is a natural number? 𝝅 −𝟗 𝟑 −𝟒

Which of the following is a natural number? 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Which of the following is a natural number? 𝟑

Is 3.237 a rational number? YES NO 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Is 3.237 a rational number? YES NO

Is 3.237 a rational number? YES 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Is 3.237 a rational number? YES

Which of the following describe 4 3 ? 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Which of the following describe 4 3 ? irrational whole rational real

Which of the following describe 4 3 ? 8.NS.1.c Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Which of the following describe 4 3 ? rational real

8.NS.2 Estimate and compare the value of irrational numbers by plotting them on a number line. Use the integer that are closest to the number in the middle  < - 20 < 

8.NS.2 Estimate and compare the value of irrational numbers by plotting them on a number line. Use the integer that are closest to the number in the middle  < - 20 < 

Which number is closest to 39 ? 8.NS.2 Estimate and compare the value of irrational numbers by plotting them on a number line. Which number is closest to 39 ? 5.8 6.2 7.3 5.5

Which number is closest to 39 ? 8.NS.2 Estimate and compare the value of irrational numbers by plotting them on a number line. Which number is closest to 39 ? 6.2 The closest perfect square to 39 is 36.

34∙34 ∙35 34 ∙ 35 Write the expression using exponents. 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Write the expression using exponents. 34∙34 ∙35 34 ∙ 35

34∙34 ∙35 34 ∙ 35 Write the expression using exponents. 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Write the expression using exponents. 34∙34 ∙35 2 1 34 ∙ 35

x ∙ x ∙ x ∙ x ∙ y ∙ y x y Write the expression using exponents. 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Write the expression using exponents. x ∙ x ∙ x ∙ x ∙ y ∙ y x y

x ∙ x ∙ x ∙ x ∙ y ∙ y x y Write the expression using exponents. 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Write the expression using exponents. x ∙ x ∙ x ∙ x ∙ y ∙ y 4 2 x y

8. EEI. 1 Understand and apply the laws of exponents (i. e 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Evaluate 33

8. EEI. 1 Understand and apply the laws of exponents (i. e 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Evaluate 33 3 ∙ 3 ∙ 3 = 27

Evaluate 26 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 4 ∙ 2 ∙ 2 ∙ 2 ∙ 2 8 ∙ 2 ∙ 2 ∙ 2 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Evaluate 26 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 4 ∙ 2 ∙ 2 ∙ 2 ∙ 2 8 ∙ 2 ∙ 2 ∙ 2 16 ∙ 2 ∙ 2 32 ∙ 2 64

8. EEI. 1 Understand and apply the laws of exponents (i. e 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Evaluate (-4)2 (-4) ∙ (-4) 16

Evaluate (-2)3 (-2) ∙ (-2) ∙ (-2) 4 ∙ (-2) -8 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Evaluate (-2)3 (-2) ∙ (-2) ∙ (-2) 4 ∙ (-2) -8

8. EEI. 1 Understand and apply the laws of exponents (i. e 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Solve for z 9z = 81 9z = 92 z = 2

8. EEI. 1 Understand and apply the laws of exponents (i. e 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Solve for x. 2x = 8 2x = 23 x = 3

Multiplying same bases 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Simplify : g2 ∙ g2 Multiplying same bases g2+2 g4

c2 Simplify : 𝑐 5 𝑐 3 Dividing same bases C5-3 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Simplify : 𝑐 5 𝑐 3 Dividing same bases C5-3 c2

Simplify : (𝑐 5 ) 2 Power Rule C5x2 c10 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Simplify : (𝑐 5 ) 2 Power Rule C5x2 c10

Simplify : (𝑗 8 ) 3 Power Rule j8x3 j24 8.EEI.1 Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents. Simplify : (𝑗 8 ) 3 Power Rule j8x3 j24

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations.

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations.

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations.

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations. 2k = 16

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations. c + 12 = 27

8.EEI.7 Extend concepts of linear equations and inequalities in one variable to more complex multi-step equations and inequalities in real-world and mathematical situations. Solve for m. m + 2 = 10 -2 = -2 m = 8