Jeopardy Writing Algebraic Expressions Properties of Real Numbers

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Presentation transcript:

Jeopardy Writing Algebraic Expressions Properties of Real Numbers Real Number Sets Order of Operations Evaluate Expressions 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

100 Write as an algebraic expression: Category 1 100 Write as an algebraic expression: The quotient of a number and thirteen.

Category 1 100 The quotient of a number and thirteen. 𝑥÷13 or 𝑥 13

200 Write each phrase as an algebraic expression: Category 1 200 Write each phrase as an algebraic expression: The product of four and the sum of a number and six.

200 The product of four and the sum of a number and six. 4(n + 6) Category 1 200 The product of four and the sum of a number and six. 4(n + 6)

300 Category 1 Write each sentence using mathematical symbols: Twice the difference of m and eight is the same as the sum of m and twelve.

Category 1 300 Twice the difference of m and eight is the same as the sum of m and twelve. 2(m – 8) = m + 12

400 Category 1 Write as an algebraic expression: If the measure of one angle is 3x degrees, represent the measure of its supplement as an expression in x.

Category 1 400 If the measure of one angle is 3x degrees, represent the measure of its supplement as an expression in x. 180 – 3x

500 Category 1 Write the sentence using mathematical symbols The product of three and x is less than or equal to 4 more than two times x.

Category 1 500 The product of three and x is less than or equal to 4 more than two times x. 3𝑥≤2𝑥+ 4

100 List the elements in each set: Category 2 100 List the elements in each set: {x x is natural number greater than 4}

Category 2 100 List the elements in each set: {5, 6, 7, …}

200 List the elements of the set Category 2 200 List the elements of the set {4, - 2 3 , 0, 13 ,-7, 4 5 , 25 ,π} that are also elements of the given set. Integers

Category 2 200 {4, - 2 3 , 0, 13 ,-7, 4 5 , 25 ,π} Integers {4, 0, -7 25 }

300 List the elements of the set Category 2 300 List the elements of the set {4, - 2 3 , 0, 13 ,-7, 4 5 , 25 ,π} that are also elements of the given set. Irrational Numbers

Irrational Numbers { 13 ,𝜋} Category 2 300 {4, - 2 3 , 0, 13 ,-7, 4 5 , 25 ,π} Irrational Numbers { 13 ,𝜋}

400 List the elements in each set: {x x is a integer between -6 and 3} Category 2 400 List the elements in each set: {x x is a integer between -6 and 3}

400 List the elements in each set: {-5, -4, -3, -2, -1, 0, 1, 2} Category 2 400 List the elements in each set: {-5, -4, -3, -2, -1, 0, 1, 2}

500 List the elements of the set Category 2 500 List the elements of the set {4, - 2 3 , 0, 13 ,-7, 4 5 , 25 ,π} that are also elements of the given set. Whole Numbers

Category 2 500 Whole Numbers: {4, 0, √25}

Category 3 100 Simplify: − 2 3 − − 7 5

Category 3 100 Simplify: 11 15

Category 3 200 Simplify: −20 ÷5 ∙4

Category 3 200 Simplify: −20 ÷5 ∙4 −4 ∙4 −16

Category 3 300 Simplify: 5 4 ÷ 3 4 2

Category 3 300 Simplify: 20 9

Category 3 400 Simplify: − 16 −(6−2.4) −2

Category 3 400 Simplify: 3.8

Category 3 500 Simplify: (−2) 4 +3 120−20 4 3 + 5(−1)

Category 3 500 Simplify: 46 69 = 2 3

Category 4 100 Evaluate the following Expression: −7𝑦 2 , 𝑤ℎ𝑒𝑛 𝑦=−4

100 Evaluate the following Expression: −7(−4) 2 , −7 16 −112 Category 4 100 Evaluate the following Expression: −7(−4) 2 , −7 16 −112

Category 4 200 Evaluate when x = 9 and y = -2 𝑦 2𝑥 − 𝑥 3𝑦

Category 4 200 Evaluate when x = 9 and y = -2 7 18

Category 4 300 If c degrees Celsius, the algebraic expression 1.8c + 32 represents the equivalent temperature in Fahrenheit. Find the temperature in Fahrenheit if it is 50 °C.

Category 4 300 1.8c + 32 = 1.8(50) + 32 = 90 + 32 = 122 °F

400 Evaluate the expression for x = 4, y = 3 and z = -2. 5𝑥+𝑧 2𝑦 Category 4 400 Evaluate the expression for x = 4, y = 3 and z = -2. 5𝑥+𝑧 2𝑦

Category 4 400 Evaluate the expression for x = 4, y = 3 and z = -2. 3

500 Find the value of the expression when q =4, r = -2, and t = 1 Category 4 500 Find the value of the expression when q =4, r = -2, and t = 1 5 𝑡 2 −3𝑞 3𝑟−1

1 500 Find the value of the expression when q =4, r = -2, and t = 1 Category 4 500 Find the value of the expression when q =4, r = -2, and t = 1 1

100 Category 5 Name the property illustrated. 6x – 24 = 6(x – 4)

Distributive Property 100 Category 5 Name the property illustrated. 6x – 24 = 6(x – 4) Distributive Property

200 Category 5 Name the property illustrated. − 4 5 − 5 4 =1

Multiplicative Inverse Property 200 Category 5 Name the property illustrated. − 4 5 − 5 4 =1 Multiplicative Inverse Property

300 Name the property illustrated. (4 + z) + x = 4 + (z + x) Category 5 Name the property illustrated. (4 + z) + x = 4 + (z + x)

300 Name the property illustrated. (4 + z) + x = 4 + (z + x) Category 5 Name the property illustrated. (4 + z) + x = 4 + (z + x) Associative Property

400 Category 5 Simplify the following expression: 4y + 10 – 2(y + 10)

400 Category 5 4y + 10 – 2(y + 10) 4y + 10 – 2y – 20 4y – 2y + 10 – 20 2y - 10

500 Category 5 Simplify: 1 3 9𝑥−3𝑦 − 4𝑥−1 +4𝑦

−𝑥+3𝑦+1 500 1 3 9𝑥−3𝑦 − 4𝑥−1 +4𝑦 3𝑥−𝑦−4𝑥+1+4𝑦 3𝑥 −4𝑥 −𝑦+4𝑦+1 Category 5 1 3 9𝑥−3𝑦 − 4𝑥−1 +4𝑦 3𝑥−𝑦−4𝑥+1+4𝑦 3𝑥 −4𝑥 −𝑦+4𝑦+1 −𝑥+3𝑦+1