Distributive Property
Simplify:
3(4 + 2)
18
Solve:
x + 5 = 12
x = 7
What is the ratio of 2 apples to 6 oranges?
1:3
What is 1/2 + 1/4?
3/4
Jane has 5 more pencils than Tom. If Tom has 10 pencils, how many does Jane have?
15 pencils
Simplify:
5(x + 3)
5x + 15
Solve:
3x = 15
x = 5
Simplify the ratio 15:10
3:2
What is 3/5 × 2/3?
2/5
Liam earns $12 per hour. How much does he earn in 5 hours?
$60?
Simplify:
2(3x – 4) + 6
6x – 2
Solve:
2x + 3 = 11
x = 4
If the ratio of boys to girls is 4:5 and there are 20 boys, how many girls are there?
25 girls
What is 5/6 ÷ 1/2?
5/3 or 1 2/3
A number is doubled and then increased by 7 to give 21. What is the number?
7
Simplify:
-3(2x – 5) – 4x
-10x + 15
Solve:
5x – 7 = 18
x = 5
A recipe calls for a ratio of sugar to flour of 2:5. If you use 10 cups of flour, how much sugar should you use?
4 cups
Simplify: (2/3 + 1/4) ÷ (5/6)
13/10 or 1.3
A pizza is cut into 8 slices. You eat 3 slices. What fraction of the pizza is left?
5/8
Simplify:
4(x – 2) + 3(2x + 1)
10x – 5
Solve:
-4x + 2 = 18
x = -4
Two numbers are in a 3:4 ratio and add up to 84. What are the numbers?
36 and 48
Solve:
If 2/3 of a number is 8, what is the number?
12
Sam bought 3 shirts and 2 hats. Shirts cost $15 each, and the total bill was $60. How much did each hat cost?
$7.50