Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
PITAGORAS ARROYO MATH CLASSES & GENERAL TUTORING 10384 WEST FLAGLER ST. 305-227-2928 NAME PRE-ALGEBRA Write in scientific notation. 34,000 DATE Write in scientific notation. 0.00087 A: 8.7 ×10−4 A: 3.4 ×104 Write in standard form. 2.5 ×106 Write in scientific notation. 286 Write in standard form. 2.9 ×10−3 A: 2,500,000 Evaluate 16 − 10 ÷ 2 + 4 − (12 ÷ 2 ) Write in standard form. 3.8 ×10−1 A: 0.0029 Evaluate 6 + 8 ( 3) − 9 ( 2 ) + 10 ÷ 2 A: 17 Evaluate 2 2 2 2 ( 8 − 3) − 4 ( 6 − 2 ) − 7 ( 5 − 3) A: 28 A: 0.38 Evaluate 6 ( 8 − 5 ) − 4 ( 4 − 2 ) + 12 A: 9 Evaluate 2 3 3 2 ( 5 − 3) + 4 ( 8 − 7 ) + 2 ( 6 − 4 ) A: 2.86 ×102 A: −42 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 1 OF 8 A: 22 Evaluate 3a 2 + 4b − 5c where a = −2, b = −5, c = 3 A: −23 Evaluate a3 + b2 where a = −2, b = −5 Simplify −9 m + 7 m Simplify −3 x − 5 x A: 17 Simplify −10b + 3b A: −8x A: −7b A: −2m Simplify 3 ( m − 2 ) + 5 ( m − 3) Simplify 3m − 2 x − 2m − 7 x A: m − 9 x A: 8m − 21 Simplify 3 ( 2 − x ) + 5 ( x − 3) Simplify 7 ( a − 2b ) + 6 ( 2a − b ) Simplify 6 ( 3 x − 1) + 7 ( 2 x + 1) A: 2 x − 9 Find the distance between the points (8,9 ) and ( 2,1) A: 19a − 20b Find the distance between the points ( −7,3) and ( −2, −4 ) A: 32 x + 1 Find the distance between the points ( 7,1) and ( −5, −4 ) A: 10 A: 74 ≈ 8.6 Find the slope of the line through the points ( 7, 2 ) and ( 4, −3) A: 13 Find the slope of the line through the points ( 5,3) and (1, 2 ) A: m = 1 4 A: m = 53 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 2 OF 8 Find the slope of the line through the points ( −3, −4 ) and ( −6, −1) A: m = −1 Find the midpoint through the points ( 6, 4 ) and ( 2,10 ) Find the midpoint through the points ( −1, −4 ) and ( −5, 0 ) A: M = ( 4, 7 ) A: M = ( −3, −2 ) The endpoint of a segment is ( −4, −6 ) and the midpoint is ( 6,10 ) . Find the other endpoint. The endpoint of a segment is (8, 4 ) and the midpoint is ( 2, 6 ) . Find the other endpoint. A: ( x, y ) = ( −4,8 ) A: m = A: ( x, y ) = (16, 26 ) Find the slope of the line with equation 4 x − 3 y = 24 Simplfiy. 51 85 A: 2 3 Add. 7 3 + 12 12 5 6 A: m = 4 3 A: 7 9 A: 1 407 = 47 40 Simplfiy. 35 45 A: 3 5 Add. 4 3 + 5 8 Add. 7 5 + 8 8 A: A: ( x, y ) = ( 4, 22 ) A: m = − 53 2 3 Simplfiy. 12 18 A: M = (1, −2 ) The endpoint of a segment is ( 4, −6 ) and the midpoint is ( 4,8) . Find the other endpoint. Find the slope of the line with equation 3x + 5 y = 15 Find the slope of the line with equation y = 23 x − 7 Find the midpoint through the points ( 5, 7 ) and ( −3, −11) A: 1 12 = 3 2 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 3 OF 8 Subtract. 7 3 − 8 8 Add. 2 3 1 +2 5 4 A: 4 203 = 83 20 Subtract. 7 2 − 8 3 A: 1 2 Subtract. 2 3 3 −1 5 4 Subtract. 3 2 2 −1 4 5 A: 1 207 = 33 20 Divide. 8 2 ÷ 9 3 Multiply. 2 3 2 ×3 5 4 A: 9 Round to the nearest tenth. 0.476 A: 2000 1 6 A: 6 4 3 Round to the nearest hundred. 3467 A: 3500 A: 34.37 Estimate the quotient. 358 ÷ 13 Estimate the product. 38 × 52 A: Divide. 3 5 3 ÷ 4 8 A: 1 13 = Round to the nearest hundredth. 34.368 A: 0.5 5 24 Multiply. 3 4 × 8 9 A: 1 13 20 = 27 20 A: Estimate the quotient. 490 ÷ 53 A: 30 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 4 OF 8 A: 10 Solve: 5 x + 20 > −15 Solve: 3 x − 6 ≤ 12 A: x ≤ 6 Solve: 2 x − 10 ≤ −11 Solve: −3 x − 15 ≥ −24 A: x > −7 Solve: 8 x − 10 ≤ 6 x − 28 Solve: 5 x − 12 ≥ 8 x − 30 A: x ≤ −9 A: x ≤ − 12 Simplfiy. 8 + −10 − 19 Solve: 3 x − 6 = 18 2 3 of 60? A: −1 What is 1 2 of 3 4 A: 30 Convert to fraction. 14% A: 40% A: 10 What is 300 decrease by of 80? A: 40 Convert to %. 2 5 A: x ≤ 6 Simplfiy. 10 − 12 + 6 − 14 A: x = 8 or x = −4 What is A: x ≤ 3 3 5 of 500? A: 0 Convert to decimal. 2.5% A: 7 50 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 5 OF 8 A: 0.025 What percentage of 90 is 18? What is 8% of 900? Convert to fraction. 0.034 A: 17 Solve: x 8 = 5 10 Of what number is 12 the 3%. Solve: x+2 3 = 5 8 A: x = 4 A: 400 Solve: 1.5 x − 2 2 = 6 8 Solve: 3x − 2 4 = 8 5 A: x = 2 A: x = 2 13 = 9 2 Multiply. ( 2m2 a )( 4m3a ) A: 8m5 a 2 Multiply. ( 3ab2 ) ( −5ab ) (10a 2b2 ) Multiply. ( 7a 2b3 )( −4ab x ) A: −15a m + 4 A: x = 4 12 = 7 3 A: 12a 3 A: a8 Multiply. ( 5a 4 )( −3a m ) A: x = − 18 Solve: 2 x − 3 3x − 6 = 4 5 Multiply. ( 3a ) ( 4a 2 ) Multiply. a5 ⋅ a ⋅ a 2 A: 20% A: 72 500 A: −28a 3b x +3 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 6 OF 8 A: −150a 4b5 Divide. a6 ÷ a2 Divide. 6a 4 ÷ ( 2a x ) Divide. 24a 6b 4 ÷ ( −6ab 2 ) A: a 4 A: 3a 4− x A: −4a 5b 2 Simplfiy. ( 3a 2b3 ) ( 4ab ) Simplfiy. (10 x 4 y3 )( 3x2 y 2 ) Simplfiy. ( 2m4 y3 )( 7m3 y ) 6ab 2 15 x3 y 3 14m7 y 4 A: 2a 2b 2 Simplfiy. a −7 a3 Simplfiy. 7 x −4 y 3 2 x 2 y −5 Simplfiy. 3a −8b −4 9a −10b6 A: 1 a10 Solve: 2 x − 10 = 20 A: 1 a2 3 b10 A: x = 15 A: x = −2 Solve: 4 ( x − 3) = −13 A: x = 85 A: 7 y8 2 x6 Solve: 2 ( x − 3) = 14 Solve: 3 x − 21 = −27 Solve: 5 ( x − 2 ) = −2 A: 1 A: 2 x 3 y 2 A: x = 10 Solve: x − 10 = 6 3 A: x = − 14 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 7 OF 8 A: x = 48 Solve: 2x − 10 = 8 5 Solve: 3x −9 = 6 4 Solve: 3x =9 12 − 5 A: x = 45 Solve: 1.5 x − 6 = −9 3 A: x = 5 A: x = −7 A: x = −6 Solve: 3 ( x − 4 ) = 5 ( x − 3) Solve: 10 x + 6 = 13 x + 12 A: x = −2 A: x = 20 Solve: 8 x − 10 = 11x − 12 Solve: 8 x − 10 = 6 x − 24 A: x = 2 3 Solve: 1 1 (8 x − 12 ) = (12 x − 9 ) 4 3 A: x = 3 2 PITAGORAS.ARROYO.PRE-ALGEBRA.REVIEW PAGE 8 OF 8 A: x = 0