QRB 501 FINAL EXAM 36 ANWSERS
1) Write the following as an algebraic expression using x as the variable: Twelve less than six times a number A. 6x – 12 [(Six times a number means 6x, and twelve less mean -12)] B. –6x C. –12(6x) D. 12 – 6x
2) Write the following as an algebraic expression using x as the variable: The sum of a number and -8 A. -8 + x [(let x be the variable number, therefore sum of variable (x) and (-8) would be x-8 or -8 + x)] B. -8 - x C. x(-8) D. -8x
3) Write the following as an algebraic expression using x as the variable: Triple a number subtracted from the number A. x - 3x [(let x be the unknown number, and triple that number would be 3x. Triple a number (3x) has to be subtracted from the number, which is x, thus x-3x)] B. x 3 – x C. 3x - x D. 3(x - x)
4) Solve: (–5)2 · (9 – 17)2 ÷ (–10)2 A. 16 [(-5)^2 . (9-17)^2 ÷ (-10)^2 = (25) . (64) ÷ (100) = 1600 ÷ 100 = 16] B. 64 C. -6.4 D. -.039
5) Solve: 3(-19 + 4) ÷ -5 A. 9 [ 3(-15) ÷ -5 which equals (-45) ÷ (-5) = 45 ÷ 5 = 9] B. -13.8 C. 0.11 D. 13.8
6) Solve: –9 + 18 ÷ –3(–6) A. 27 B. 90 C. -0.5 D. 0.5 [(-9 + 18) ÷ 18 = 9 ÷ 18 = ½ = 0.5]
7) Identify the variable, constant, and coefficient of the expression: 10k – 15 A. variable: k; constant: 15; coefficient: 10 B. variable: 10; constant: k; coefficient: –15 C. variable: 15; constant: 10; coefficient: k D. variable: k; constant: –15; coefficient: 10
8) Identify the variable, constant, and coefficient of the expression: 3p A. variable: p; constant: 0; coefficient: 3 B. variable: 3; constant: 0; coefficient: p C. variable: 3; constant: p; coefficient: 3 D. variable: p; constant: 3; coefficient: 0
9) Identify the variable, constant, and coefficient of the expression: x – y A. variable: x and y; constant: 0; coefficient: 1 B. variable: y; constant: x; coefficient: 0 C. variable: x; constant: –y; coefficient: 1 D. variable: x and y; constant: 0;
2) Write the following as an algebraic expression using x as the variable: The sum of a number and -8 A. -8 + x [(let x be the variable number, therefore sum of variable (x) and (-8) would be x-8 or -8 + x)] B. -8 - x C. x(-8) D. -8x
3) Write the following as an algebraic expression using x as the variable: Triple a number subtracted from the number A. x - 3x [(let x be the unknown number, and triple that number would be 3x. Triple a number (3x) has to be subtracted from the number, which is x, thus x-3x)] B. x 3 – x C. 3x - x D. 3(x - x)
4) Solve: (–5)2 · (9 – 17)2 ÷ (–10)2 A. 16 [(-5)^2 . (9-17)^2 ÷ (-10)^2 = (25) . (64) ÷ (100) = 1600 ÷ 100 = 16] B. 64 C. -6.4 D. -.039
5) Solve: 3(-19 + 4) ÷ -5 A. 9 [ 3(-15) ÷ -5 which equals (-45) ÷ (-5) = 45 ÷ 5 = 9] B. -13.8 C. 0.11 D. 13.8
6) Solve: –9 + 18 ÷ –3(–6) A. 27 B. 90 C. -0.5 D. 0.5 [(-9 + 18) ÷ 18 = 9 ÷ 18 = ½ = 0.5]
7) Identify the variable, constant, and coefficient of the expression: 10k – 15 A. variable: k; constant: 15; coefficient: 10 B. variable: 10; constant: k; coefficient: –15 C. variable: 15; constant: 10; coefficient: k D. variable: k; constant: –15; coefficient: 10
8) Identify the variable, constant, and coefficient of the expression: 3p A. variable: p; constant: 0; coefficient: 3 B. variable: 3; constant: 0; coefficient: p C. variable: 3; constant: p; coefficient: 3 D. variable: p; constant: 3; coefficient: 0
9) Identify the variable, constant, and coefficient of the expression: x – y A. variable: x and y; constant: 0; coefficient: 1 B. variable: y; constant: x; coefficient: 0 C. variable: x; constant: –y; coefficient: 1 D. variable: x and y; constant: 0;