CH 7

CH 7 Study Guide A No B constructed yet.

Write and algebraic expression for each of the following:

1. The product of 6 and p:

2. The sum of 1/3m and 2/5:

Evaluate each expression when x = 4.

3. 8 - x + 2x +4

2 4

4. The product of (6x +3) and 10 - 3x

5

Simplify each expression.

5. 4 + 4s -3s

6. 8y + 11 +3y - 8 - 5y

Solve. Show your work.

7. Factor the expression 14p + 28

8. Expand the expression 2(r - 3) + 6(r + 3). Express your answer in simplest form.

State whether each pair of expressions is equivalent.

9. 8z + 5 + 2z and 5(2z+1)

10. 8 - 2z + 4z and 4(z - 2)

2

Solve. Show your work.

11. A bricklayer can lay 15 bricks in an hour. How many bricks can he lay in t minutes?

12. The perimeter of a rectangle is 80 inches. the width of the rectangle is 4y inches. Find the length in terms of y.

13. Four packets of almonds cost 2m dollars. Mandy buys 2 packets of almonds. How much change does she receive if she paid with a $10 bill? Give your answer in terms of m.

14. Mr. Franz bought x cans of fruit cocktail. He bought 4 more cans of mushrooms than cans of fruit cocktail.

a). How many cans of fruit cocktail and mushrooms did he buy? Give your answer in terms of x.

b). A can of mushrooms cost 60 cents and a can of fruit cocktail cost 80 cents. How much money did Mr. Franz spend? Express your answer in terms of x in dollars.

15. Riley has (10p +8) one dollar coins and (p +2) one dollar bills. Pam has 6p dollars fewer than Riley.

a). How much money does Pam have? Give your answer in terms of p.

b). If p = 4, how much money will Pam have after she gives half of her money to Riley?

ANSWER KEY:

1. The product of 6 and p: 6p

2. The sum of 1/3m and 2/5: 1/3m + 2/5

3. 8 - x + 2x +4 = 4-1/2x +1/2x +1 = 5

2 4

4. The product of (6x +3) and 10 - 3x = (6x+3) x (10-3x)

5 5

5. 4 + 4s -3s 4 +s

6. 8y + 11 +3y - 8 - 5y 6y + 3

7. Factor the expression 14p + 28 7(2p + 4)

8. Expand the expression 2(r - 3) + 6(r + 3). Express your answer in simplest form.

2r - 6 +6r +18 = 8r + 12

9. 8z + 5 + 2z and 5(2z+1) 10z + 5 = 10z + 5 YES

10. 8 - 2z + 4z and 4(z - 2) 8 = 4z - 8 NO

2

11. A bricklayer can lay 15 bricks in an hour. How many bricks can he lay in t minutes?

15/ 60 minutes = 1/4 minutes = 1/4 t bricks

12. The perimeter of a rectangle is 80 inches. the width of the rectangle is 4y inches. Find the length in terms of y.

Perimeter = 2l +2w

80 = 2l +2(4y)

80/2 = 2l/2 + 2w/2

40 = l +4y

40 - 4y = length

13. Four packets of almonds cost 2m dollars. Mandy buys 2 packets of almonds. How much change does she receive if she paid with a $10 bill? Give your answer in terms of m.

$10 - $2/4(2m)

$10 - $m

14. Mr. Franz bought x cans of fruit cocktail. He bought 4 more cans of mushrooms than cans of fruit cocktail.

a). How many cans of fruit cocktail and mushrooms did he buy? Give your answer in terms of x.

x + (x+4) = 2x+4 cans

b). A can of mushrooms cost 60 cents and a can of fruit cocktail cost 80 cents. How much money did Mr. Franz spend? Express your answer in terms of x in dollars.

$.60x +.80(x+4) = $.60x + $.80x + 3.20 = $1.40x +$3.20

15. Riley has (10p +8) one dollar coins and (p +2) one dollar bills. Pam has 6p dollars fewer than Riley.

a). How much money does Pam have? Give your answer in terms of p.

Riley: 11p+10

Pam: Riley - 6p so 11p +10 - 6p = 5p+10 dollars

b). If p = 4, how much money will Pam have after she gives half of her money to Riley?

5(4) +10 = 20 + 10= 30 30 - 1/2(30) = $15