Lesson 6 homework practice
the distributive property
find each product mentally. show the steps you used.
1. 8 × 34 2. 5 × 47 3. 12 × 4 3
−
4
4. 8 × 3 3
−
4
5. 6 × 4.4 6. 7 × 2.9
use the distributive property to rewrite each algebraic expression.
7. 6(n + 4) 8. 15(2 + r) 9. 8(s + 5)
10. 3(b + 8) 11. 5(6 + b) 12. 9(3 + v)
13. 7(r - 7) 14. 12(4 - v) 15. 11(3 - s)
16. movies use the table that shows the prices
of tickets and various food items at the
movie theater.
a. four friends each bought a ticket and a
bag of popcorn. how much total money did
they spend?
b. how much money will the movie theater
make if a birthday party of 12 kids each
buys a box of candy and a soda but does not
go see a movie?
c. how much more money will a person spend who buys three orders of
nachos than a person who buys three bags of popcorn?
item price
ticket $8.50
popcorn $5.25
soda $4.00
candy $3.75
nachos $6.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Interpret the following expression (5y^2-7)^3/(2y)^2

You are saving to buy a bicycle; so far you save 55.00. the bicycle costs 199.00. you earn 9.00 per hour at your job. which inequality represents the possible number of h hours you need to work to buy the bicycle?