7-8th Week 1(show work/simplify)

Fractions

100

What is 3/4 ÷ 1/2

1 1/2

200

7/8 ÷ 1/4

3 1/2

300

5/6 − 1/3

1/2

400

2/3 + 5/12

1 1/12

500

3/4 - 1/3 + 1/6

7/12

Riddles

100

I am a two-digit number. My digits add to 9. My tens digit is 4 more than my ones digit. What number am I?

63

200

A farmer has chickens and cows. There are 10 heads and 28 legs. How many cows are there?

4 cows

300

A number is multiplied by 3 and then 5 is added. The result is 26. What is the number?

7

400

I am a number between 20 and 30. I am a multiple of 3 and 4. What number am I?

24

500

I am a two-digit number. My digits add to 11. If the digits are reversed, the new number is 27 less than the original. What number am I?

74

Word Problems

100

Question: A family drove 180 miles on Saturday and 120 miles on Sunday. They stopped after every 60 miles to take a break. How many breaks did they take?

5 breaks

200

A car travels 60 miles per hour for 2.5 hours, then 75 miles per hour for 3.5 hours. How far does it travel altogether?

Answer: 412.5 miles

How to Solve:
60 × 2.5 = 150
75 × 3.5 = 262.5
150 + 262.5 = 412.5

300

A recipe uses 3/4 cup of sugar. If the recipe is doubled, how much sugar is needed?

1 1/2 cups

400

A class has 32 students. 3/4 of them passed a test. How many students passed?

1. Divide 32 by 4 = 8
2. Multiply 8 by 3 = 24 (because you want 3/4)

Answer: 24 students passed.

500

A store discounts a $40 shirt by 25%. How much is the discount?

Answer: $10

How to Solve:
Find 25% of $40.
25% = 0.25
0.25 × 40 = 10

Integers

100

7 + (-12)

-5

200

What is -8 − 6

-14

300

What is -5 × (-4)

20

400

-30 - (-12)

-18

500

-15 + 8 − (-4)

-3

Simple Find X

100

x − 12 = 25

x = 37

200

3x = 24

x = 8

300

3(x + 4) = 33

x = 7

400

2x + 7 = 25

x = 9

500

x ÷ 5 + 3 = 11

x = 40