Jeopardy-Algebra 1

2-Step equations

100

4x-10=30

Correct Answer:

x = 10

Because:

4x-10=30 (add 10 to both sides) 

4x=40 (divide by four)

X=10 (final answer) 

200

18-4x=5x

Correct Answer:

x=2 

Because: 

18-4x=5x (Add 4 to both sides) 

18=9x (divide 9 on both sides) 

x=2

300

-4x+7=15

Correct Answer: 

x=-2 

Because: 

-4x+7=15 (Subtract 7 on both sides) 

-4x=8 (Divide -4 on both sides) 

x=-2

400

x/5+7=-3

Correct Answer: 

x=50 

Because:

x/5+7=-3 

x/5=-10 

x/5(5)=-10(5)

x=50

500

x/3-2=1

Correct Answer: 

x=9 

Because: 

x/3-2=1 (Add 2 on both sides)

x/3=3 (Multiply both sides by 3) 

x=9

Factoring

100

Factor 

5x²-14x+8

Correct Answer: 

(5x-4)(x-2)

Because: 

5x²-4x-10x+8 (Rewrite the expression) 

x(5x-4)-2(5x-) (Factor the expression) 

Final answer: 5x²-14x+8

200

Factor 

6x²+13x+6

Correct Answer: 

(2x+3)(3x+2) 

Because: 

6x²+9x+4x+6 (Rewrite the expression) 

3x(2x+3)+2(2x+3) (Factor the expression) 

Final answer: 

(2x+3)(3x+2) 

300

Factor 

x²+5x+6

Correct Answer: 

(x+2)(x+3) 

Because: 

x²+3x+2x+6 (Rewrite the expression) 

x(x+3)+2(x+3) (Factor the expression) 

Final Answer: 

(x+3)(x+2)

400

Factor 

4x² + 12x + 5.

Correct Answer: 

(2x + 5)(2x + 1)

500

Factor 

18x² - 39x + 20.

Correct Answer: 

(3x - 4)(6x - 5)

Percentages

100

What is 100% of $53?

Correct Answer: 

53$ 

Because: 

n = 100% · 53
n = 1 · 53
n = 53

100% of $53 is $53. 

200

80% of 5$

Correct Answer: 

4$

Because: 

n = 80% · 5
n = 0.80 · 5
n = 4

80% of $5 is $4. 

300

What is 60% of 80?

Correct Answer: 

48

Because: 

n = 60% · 80
n = 0.6 · 80
n = 48

60% of 80 is 48. 

400

60% of $10

Correct Answer: 

6$ 

Because: 

n = 60% · 10
n = 0.60 · 10
n = 6

60% of $10 is $6. 

500

70% of __ = 35

Correct Answer: 

50 

Because: 

35 = 0.7 · n
35 = 0.7n
35 ÷ 0.7 = 0.7n ÷ 0.7
50 = n

70% of 50 = 35 

1-Step equations

100

Solve for V. 

3.9 = V/3 

Correct Answer: 

11.7 

Because: 

3.9 · 3

 = 

v3 · 3 (Multiply both sides by 3)

11.7   (Simplify)

Final Answer

11.7

200

Solve for s.

s + 4 = 7

Correct Answer: 

3 

Because: 

s + 4 − 4 = 7 − 4 (Subtract 4 from both sides)

s = 3 (Simplify)

300

 Solve for t

t/3 = 4.2 

Correct Answer: 

12.6 

Because: 

3 x t/3 = 3 x 4.2 (Multiply both sides by 3) 

Cancel out GCF = 3 

t = 3 x 4.2 (Multiply) 

Final Answer: 

t = 12.6 

400

Solve for X 

x + 2 = 5 

Correct Answer: 

x = 3 

Because: 

x-2=5-2 (Subtract 2 on both sides) 

x = 3 

500

Find X 

x - 120 = 80

Correct Answer: 

x = 200 

Because: 

x + 120 = 120 + 80

x = 200 

Multiplying Fractions

100

(3/4)(2/5) 

Correct Answer: 

3/10

Because:

3/2 x 1/5 (Multiply numerators) 

3 x 1 = 3 

3/2 x 1/5 (Multiply denominators) 

2 x 5 = 10 

Final Answer: 

3/10 or 0.3

200

(1/3)(3/5)

Correct Answer: 

1/5

Because: 

1/3 x 3/5 (Multiply numerators) 

1 x 3 = 3 

1/3 x 3/5 (Multiply denominators) 

3 x 5 = 15 

3/15 (simplify) 

Final Answer: 

1/5

300

(4/5)(3/7)

Correct Answer: 

12/35

Because: 

4/5 x 3/7 (Multiply numerators) 

4 x 3 = 12 

4/5 x 3/7 (Multiply denominators)

5 x 7 = 35

Final Answer: 

12/35

400

(24/27)(45/37)

Correct Answer: 

40/37

Because: 

Reduce the fraction by finding the common factor = 3 

8/9 x 45/37 (Cancel out the greatest common factor = 9) 

8 x 5/37 (Find the answer) 

Final Answer: 

45/37 or 1 3/37

500

(1 1/4)(14/5)

Correct Answer: 

7/2 

Because: 

1 1/4 x 14/5 (Convert the expression) 

5/4 x 14/5 (Solve) 

1/2 x 7 = Final Answer = 7/2 or 3 1/2