NSM 8 Student CD/Foundation Worksheet 10 - Pearson Australia ...

Foundation Worksheet10:04 Solving Equations 3Name:Class:Examples1 Solve these equations.a a − 7 = 13 b 4x = 24opposite is + 7 opposite is ÷ 4a = 13 + 7 x = 24 ÷ 4= 20 = 62 Is x = 5 a solutionto 3x − 4 = 10?Substitute x = 5.3 × 5 − 4 = 1011 = 10∴ No3 Expand 5(3c − 7).5 × 3c − 5 × 7= 15c − 351 Solve these equations.a a + 11 = 30 b b − 5 = 21 c 4x = 36 d y ÷ 3 = 11e g − 1 = 1 f r + 9 = 20 g t ÷ 3 = 3 h 6x = 54i 7u = 7 j m − 4 = 5 k y + 8 = 13 l a ÷ 8 = 52 Is x = 8 a solution?Exercisea 2x + 1 = 17 b 4x = 48 c x − 8 = 0dx-- = 162e 3x − 5 = 19 f 2(x + 3) = 223 Is x = 4 a solution?x + 2a 3x + 4 = 16 b 3(x − 2) = 18 c ----------- = 33xd 16 − 3x = 2 e -- + 3 = 4 f 5x = 3x + 844 Expand.a 3(2x + 5) b 5(x − 7) c 2(4a − 3) d 7(p − 4)e 6(3h − 1) f 9(5q + 8) g 3(2m + 7) h 2(3k + 4)i 4(5t − 3) j 8(2w − 3) k 5(3y − 4) l 6(3h − 2)Fun Spot 10:04 | Why was the centipede an hour late for the soccer match?Solve the equations and match the letters to the answers.aA a + 7 = 13 E 3a = 21 H 7 − a = 2 I -- = 2 K 5a = 50 N a − 8 = 44aaO -- = 4 P a + 4 = 13 R 10a = 10 S 7 = a + 7 T a − 15 = 0 U -- = 5868 15 15 32 32 10 8 15 6 12 5 32 30 1.15 32 9 30 15 8 15 0 0 5 32 7 0 32 12Answers can be found in the Interactive Student CD.NEW SIGNPOST MATHEMATICS 8 FOUNDATION WORKSHEETS35© Pearson Education Australia 2004.This page may be photocopied for classroom use.

Foundation Worksheet10:07 Number Line GraphsName:Class:Examples• To graph numbers on a number line, mark them with a dot.• The notation {2, 4, 6, 8} means the set of numbers 2, 4, 6 and 8.1 Graph each set of numbers.a {2, 4, 6, 8} b {−2, −1, 0, 2}0 2 4 6 8 −4 −3 −2 −1 0 1 2 3 42 Write down the set of numbers.a−4 −3 −2 −1 0 1 2 3 4{−2, 0, 2, 4} {0, 1, 2}3 Express each inequality in words.a a 5 b x −3 c h 10All numbers less All numbers greater All numbers lessthan 5 than −3 than or equal to 10b0 1 2 3 4 5 6 7Exercise1 Graph each set on a separate number line.a {1, 2, 3} b {−3, −2} c {0, 2, 4} d {1, 3, 5, 7}e {−6, −4, −2, 0} f {−3, 3} g {5, 2, −1} h {2, −4, 0, −1}i {8, 4, 0, −4} j {0, −4, −2, 6} k {−6, −2, 0} l {5, 3, 1, −1, −3}2 Write the set shown on each number line.a−2 −1 0 1 2 3b−3 −2 −1 0 1 2 3 4 5c−3 −2 −1 0 1 2 3 4d0 1 2 3 4 5 6 7e−5 −4 −3 −2 −1 0 1f−7 −5 −3 −1 0 1g−20 2h−3 −2 −1 0 1 2 33 Express each inequality in words.a k 4 b x −4 c q 0 d m 1e x 2 f h −3 g c 20 h y −5Answers can be found in the Interactive Student CD.NEW SIGNPOST MATHEMATICS 8 FOUNDATION WORKSHEETS37© Pearson Education Australia 2004.This page may be photocopied for classroom use.

Foundation Worksheet10:08 Solving InequationsName:Class:Examples1 Is x = 2 an answer to the following? 2 Is a = 10 an answer to the following?aa x + 5 10 b 4x 10a -- 4 b a − 6 752 + 5 10 4 × 2 1010----- 4 10 − 6 77 10 Yes 8 10 No 52 4 Yes 4 7 No3 Solve.xa m − 6 10 b -- 3c h + 5 4 d 6v 184m 10 + 6 x 3 × 4h 4 − 5 v 18 ÷ 6∴ m 16 ∴ x 12∴ h −1 ∴ v 3Exercise1 Is x = 5 an answer to the following?a x + 1 3 b 3x 12 c x − 4 8 d 5x 102 Solve.a x + 1 3 b 3x 12 c x − 4 8 d 5x 10 e c − 5 10ccf -- 5 g c + 6 10 h -- −2 i 7m 28 j m + 8 334yyk m − 1 5 l 2m −8 m -- 6 n -- 10 o y + 7 1043tp y − 4 7 q -- 2 r t + 3 10 s 3t 18 t t − 7 633 Is t = 12 an answer to the following?ta -- 2 b t + 3 10 c 3t 18 d t − 7 634 Is m = 3 an answer to the following?a 7m 28 b m + 8 3 c m − 1 5 d 2m −8Fun Spot 10:08 | What do you call a monkey with a banana in each ear?Calculate the following. Match the letters with the answer.A 10 + 5 C 7 × 4 E 9 − 2 G −3 × 4 H 15 ÷ 5 I 11 − 9N 30 ÷ 3 O 19 − 11 R 16 + 9 T −3 + 4 U 8 × (−2) Y 20 ÷ 415 10 5 1 3 2 10 −12’ .3 7 28 15 10 1 3 7 15 25 5 8 −16,Answers can be found in the Interactive Student CD.NEW SIGNPOST MATHEMATICS 8 FOUNDATION WORKSHEETS38© Pearson Education Australia 2004.This page may be photocopied for classroom use.