THIS IS With Your Host... Numerical Expressions Algebra: Variables/ Expressions Algebra: Properties 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 Powers and Exponents The Equivalent Distributive Expressions Property Write the product using an exponent: 6×6×6 A 100 6 × 6 × 6 = 6³ A 100 Write the product using an exponent: 2×2×2×2×2×2×2 A 200 2×2×2×2×2×2×2= 7 2 A 200 Write the product using an exponent: 8×8×8×8×8 A 300 8×8×8×8×8= 5 8 A 300 Write the power as a product of the same factor. Solve. 4 10 A 400 10 x 10 x 10 x 10 = 10,000 A 400 Write the power as a product of the same factor. Solve. 8 4 A 500 4x4x4x4x4x4x4x4= 65,536 A 500 Find the value of the expression: 8+4–3 B 100 8+4–3=9 B 100 Find the value of the expression: 38 – 19 + 12 B 200 38 – 19 + 12 = 31 B 200 Find the value of the expression: 7 + 9 x (3+8) B 300 7 + 9 x (3+8) = 106 B 300 Find the value of the expression: 5³ - 12 ÷ 3 B 400 5³ - 12 ÷ 3 = 121 B 400 Find the value of the expression: 9 + 4³ x (20 – 8) ÷ 2 + 6 B 500 9 + 4³ x (20 – 8) ÷ 2 + 6 = 399 B 500 Evaluate the expression if m=2, n=16, p=1/3 m + 10 C 100 2 + 10 = 12 C 100 Evaluate the expression if m=2, n=16, p=1/3 n÷4 C 200 16 ÷ 4 = 4 C 200 Evaluate the expression if m=2, n=16, p=1/3 6m - 1 C 300 6(2) – 1 = 11 C 300 DAILY Place A Wager DOUBLE C 400 Evaluate the expression if m=2, n=16, p=1/3 12m - 4 C 400 12(2) – 4 = 20 C 400 Evaluate the expression if m=2, n=16, p=1/3 9p² C 500 9(1/3)² = 1 C 500 Determine whether the two expressions are equivalent. If so, tell what property is appllied. If not, explain why. (35 + 17) + 43 and 35 + (17 + 43) D 100 Yes; Associative Property D 100 Determine whether the two expressions are equivalent. If so, tell what property is appllied. If not, explain why. (25 - 9) - 5 and 25 – (9-5) D 200 No; 11 = 21 D 200 Determine whether the two expressions are equivalent. If so, tell what property is appllied. If not, explain why. 60 x 1 and 60 D 300 Yes; Identity Property D 300 Determine whether the two expressions are equivalent. If so, tell what property is appllied. If not, explain why. (3 · 6) · 9 = 3 · (6 · 9) D 400 Yes; Associative Property D 400 Use one or more properties to rewrite the expression as an expression that does not use parentheses. (6 · r) · 7 = ___?___ D 500 42r D 500 Use the Distributive Property to rewrite each algebraic expression: 8(x + 7) = E 100 8x + 56 E 100 Use the Distributive Property to rewrite each algebraic expression: 5(11 + s) = E 200 55 + 5s E 200 Use the Distributive Property to rewrite each algebraic expression: 12(b + 5) E 300 12b + 60 E 300 Factor the expression: 2x + 8 E 400 2(x + 4) E 400 Factor the expression: 30 + 12x E 500 6(5 + 2x) E 500 Simplify the expression: 4x + 2x + 3x = F 100 9x F 100 Simplify the expression: 7(3x) = F 200 21x F 200 Simplify the expression: 8y + 4x + 6y F 300 14y + 4x F 300 Simplify the expression: 4(7x + 5y) F 400 28x + 20y F 400 Simplify the expression: 7(5x + 9y) F 500 35x + 63y F 500 The Final Jeopardy Category is: STEM Word Problem Please record your wager. Click on screen to begin Seven friends have similar cell phone plans. The price of each plan is $x. Three of the seven friends pay an extra $4 per month for unlimited text messaging. Write and simplify an expression that represents the total cost of the seven plans. Click on screen to continue 3(x + 4) + 4x; $7x + $12 Click on screen to continue Thank You for Playing Jeopardy! Game Designed By J. T