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Copyright © Big Ideas Learning, LLC Big Ideas Math Red All rights reserved. Resources by Chapter 67 Math 7 – Homework 3.1/3.2r Name _________________________________________________________ Date _________ Identify the terms and like terms in the expression. (2 marks each; 1 mark for identifying the terms and 1 mark for identifying the like terms) 1. 1.3 2.7 ! 5.4 + 3 2. 10 ! !" + 6 ! + ! ! Simplify the expression. (2 marks each; 1 mark for work and 1 mark for correct expression) 3. !" ! + ! ! 4. 9 15 + 12 6 5. 4 5.8 9 + 8.2 + 22 6. + 13 8( + 2) Draw a diagram that shows how the expression can represent the area of a figure. Then simplify the expression. (2 marks each: 1 mark for figure & 1 mark for simplified expression) 7. 8(3 1) 8. (5 + 2)( + 3)

Math 7 HW 3.1-3.2R

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Copyright © Big Ideas Learning, LLC Big Ideas Math Red All rights reserved. Resources by Chapter

67

Math 7 – Homework 3.1/3.2r

Name _________________________________________________________ Date _________

Identify the terms and like terms in the expression. (2 marks each; 1 mark for identifying the terms and 1 mark for identifying the like terms)

1. 1.3𝑥 − 2.7𝑥! − 5.4𝑥 + 3 2. 10 −   !!"𝑚 + 6𝑚! + !

!𝑚

Simplify the expression. (2 marks each; 1 mark for work and 1 mark for correct expression)

3. − !"!𝑏 + !

!𝑏 4. 9𝑦 − 15𝑦 + 12− 6𝑦

5. 4 5.8− 9𝑥 + 8.2+ 22𝑥 6. 𝑣 + 13− 8(𝑣 + 2)

Draw a diagram that shows how the expression can represent the area of a figure. Then simplify the expression. (2 marks each: 1 mark for figure & 1 mark for simplified expression)

7. 8(3𝑥 − 1) 8. (5 + 2)(𝑥 + 3𝑥)

Big Ideas Math Red Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 68

Find the sum. (2 marks each)

9. 5− 𝑡 + (3𝑡 + 2) 10. 2 −5𝑦 + 6 + (2𝑦 − 8)

Find the difference. (2 marks each)

11. 8− 𝑢 − (5𝑢 + 1) 12. 2𝑥 + 7 − 6(5𝑥 − 8)

Factor the expression using the GCF. (1 mark each)

13. 8𝑎 − 16 14. 8𝑥 + 12

Factor out the coefficient (the number in front of the variable) of the variable. (2 marks each)

15. !!𝑑 + !

! 16. Factor !

! out of !

!𝑦 − !

!