Distributive Prop with Variables 1 23 x 8

Distributive Prop with Variables 1. 2(3 x + 8) = 6 x + __ 6. 3(7 x + 8) = 21 x + ___ 2. 4(4 x + 5) = __x + 20 7. 4(x + ___) = 4 x + 12 3. 7(x + 2) = 7 x + __ 8. 5(3 x + 4) = 15 x + ___ 4. 2(7 x + 4) = __x + 8 9. 4(2 x + 3) = ___x + 12 5. 5(x + 3) = __x + 15 10. 5(x + ___) = 5 x + 45 13. X + 15 7 2 x + 1 5 y Use the area model to show distribution of these problems. 3 y + 4 11. 12. 3 y + 4 14. Mrs Shaw needs to find the sides of a rectangle. The area of the rectangle is 4 g + 18 sq units. If one side is 2 g + 9 units long, what is the length of the other side?

Factor Algebraic Exp Factor each Numerical Expression using GCF. 1. 14 + 32 2. 28 + 21 3. 40 + 16 + 24 Factor each Algebraic Expression. 4. 3 x + 15 5. 14 d + 21 7. -8 d 3 + 4 d 2 – 24 9. 10 x 2 yz + 15 x 2 y – 25 xy 2 6. 35 c 2 + 14 c – 28 8. -16 k 2 m + 8 km – 20 m

Substitute to Solve Alg Exp

Substitute to Solve Alg. Exp.

Subs to verify Solns of Eqns

Distributive Prop with Variables 1. 16 2(3 x + 8) = 6 x + __ 24 6. 3(7 x + 8) = 21 x + ___ 2. 16 + 20 4(4 x + 5) = __x 3 7. 4(x + ___) = 4 x + 12 3. 14 7(x + 2) = 7 x + __ 20 8. 5(3 x + 4) = 15 x + ___ 4. 14 + 8 2(7 x + 4) = __x 8 9. 4(2 x + 3) = ___x + 12 5. 5 5(x + 3) = __x + 15 9 10. 5(x + ___) = 5 x + 45 21 y 28 15 y 2 20 y 2 x + 1 13. X + 15 7 5 y Use the area model to show distribution of these problems. 3 y + 4 11. 12. 3 y + 4 30 x 15 2 x 2 x 2 x 2 + 31 x + 15 14. Mrs Shaw needs to find the sides of a rectangle. The area of the rectangle is 4 g + 18 sq units. If one side is 2 g + 9 units long, what is the length of the other side?

Factor Algebraic Exp Factor each Numerical Expression using GCF. 1. 14 + 32 2. 28 + 21 2(7+16) 7(4 + 3) 3. 40 + 16 + 24 8(5+2+3) Factor each Algebraic Expression. 4. 3 x + 15 5. 14 d + 21 3(x+5) 6. 35 c 2 + 14 c – 28 7(5 c 2+2 c-4) 7(2 d+3) 7. -8 d 3 + 4 d 2 – 24 4(-2 d 3+d 2 -6) 9. 10 x 2 yz + 15 x 2 y – 25 xy 2 8. -16 k 2 m + 8 km – 20 m 4 m(-4 k 2+2 k-5) 5 yx(2 xz + 3 x - 5 y)