7/8 GRADE JEOPARDY!😎

Random

100

12.25 plus 1.5

13.75

200

9.15 − 3.8

5.35

300

2, 5, 11, 23, 47, ___, ___

(fun fact: this was on my HSPT)

95, 191

(times 2 plus 1)

400

12.5 × 0.08

1.0

500

12, 15, 18, 14, 16, 15, 20, 17, 14, 19, 15, 13, 16, 18, 14

Tasks:

1. Mean

2. Median

3. Mode

• Mean: 15.73

• Median: 15

• Mode: 14 and 15 (bimodal)

PEMDAS

100

2 × (3 + 4) + 5

• 2 × 7 = 14

• Then:
  14 + 5 = 19

✅ Answer: 19

200

(8 − 3)²

Steps: (5)² = 25
✅ Answer: 25

300

6 + 4 × (2 + 1)

Steps: 6 + 4 × 3 → 6 + 12 = 18
✅ Answer: 18

400

(12 ÷ 3) + 2² × 3

4 + 4 × 3 → 4 + 12 = 16
✅ Answer: 16

500

18 ÷ (3 × 2) + 5² − (4 + 1)

• 3 × 2 = 6 → 18 ÷ 6 = 3

• 5² = 25

• 4 + 1 = 5
  → 3 + 25 − 5 = 23

✅ Answer: 23

Solve for X

100

x − 4 + 2 = 9

Steps:

1. Combine like terms on the left:
     x − 2 = 9

2. Add 2 to both sides:
     x = 11
   ✅ Answer: x = 11

200

0.4x − 1.2 = 2.8

Steps:

1. Add 1.2 to both sides:
     0.4x = 4.0

2. Divide both sides by 0.4:
     x = 10
   ✅ Answer: x = 10

300

−2(x − 5) + 3 = 1

Steps:

1. Distribute: −2x + 10 + 3 = 1

2. Combine like terms: −2x + 13 = 1

3. Subtract 13: −2x = −12

4. Divide by −2: x = 6
   ✅ Answer: x = 6

400

3(x + 4) = 2x + 18

Steps:

1. Distribute left: 3x + 12 = 2x + 18

2. Subtract 2x from both sides: x + 12 = 18

3. Subtract 12: x = 6
   ✅ Answer: x = 6

500

4(x + 2) − 3 = 2(2x + 5) − 1

Steps:

1. Distribute both sides:
    Left: 4x + 8 − 3 = 4x + 5
    Right: 4x + 10 − 1 = 4x + 9

2. Simplify both sides:
    4x + 5 = 4x + 9

3. Subtract 4x from both sides:
    5 = 9.   ✅ Answer: No solution

Ratios

100

The ratio of red balls to blue balls is 8:12. Simplify this ratio. 

Solution:
Divide both by 4 → 8 ÷ 4 : 12 ÷ 4 = 2:3

200

The ratio of cats to dogs is 2:3. If there are 15 dogs, how many cats are there?

Solution:
Set up proportion:
2 / 3 = x / 15
Cross multiply: 3x = 2 × 15 = 30
x = 30 ÷ 3 = 10 cats

300

The ratio of red cars to blue cars is 4:7. If there are 28 blue cars, how many red cars are there?

Solution:
Set up proportion:
4 / 7 = x / 28
Cross multiply:
7x = 4 × 28 = 112
Divide both sides by 7:
x = 112 ÷ 7 = 16

✅ Answer: 16 red cars

400

The ratio of boys to girls in a class is 2:3. There are 25 students total. How many boys and girls are there?

Solution:
Total parts = 2 + 3 = 5
One part = 25 ÷ 5 = 5
Boys = 2 × 5 = 10
Girls = 3 × 5 = 15

500

The ratio of cats to dogs in a shelter is 5:8. If there are 40 cats, how many dogs are there?

Solution:
Set up proportion:
5 / 8 = 40 / x
Cross multiply:
5x = 8 × 40 = 320
Divide both sides by 5:
x = 320 ÷ 5 = 64

✅ Answer: 64 dogs

Fractions

100

1/3 + 1/4

Steps:
Common denominator = 12
4/12 + 3/12 = 7/12
Answer:
7/12

200

5/6 - 1/8

Common denominator = 24
20/24 - 3/24 = 17/24
Answer:
17/24

300

6/8 - 1/3

Common denominator = 24
18/24 - 8/24 = 10/24
Simplify 10/24 → 5/12
Answer:
5/12

400

3/4 ÷ 2/5

Steps:

1. Keep the first fraction, change ÷ to ×, flip the second fraction:
   3/4 ÷ 2/5 = 3/4 × 5/2

2. Multiply the fractions:
   (3 × 5) / (4 × 2) = 15/8

Answer:
15/8 or 1 7/8

500

4/8 + 3/6 - 1/3

Common denominator = 24
(4/8) = 12/24
(3/6) = 12/24
(1/3) = 8/24
Calculate: 12/24 + 12/24 - 8/24 = 16/24
Simplify 16/24:
Divide numerator and denominator by 8 → 2/3
Answer:
2/3