1. Unit Three Competition A
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Unit Three Competition A
10 Questions
17 Minutes
40 Possible Points

2. Which equation has no solution? A. 10 – 3x – 1 = 7 + 3x + 2
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Scoring: 4 points
Which equation has no solution?
A. 10 – 3x – 1 = 7 + 3x + 2
B. 12 – 7x – 10 = x – 8x + 2
C. 13 – 4x + 2 = 3x – 7x + 2
D. 15 – 2x – 2 = 10x + 3x + 2

3. Solve for 𝒙 2. 𝟎.𝟐𝟓 𝟑𝒙−𝟒 −𝟎.𝟓𝒙=𝟐.𝟕𝟓 3. 𝟕− 𝟑 𝟒 𝒙= 𝟏 𝟐 𝒙−𝟑 MASTERS
Scoring: 3 points each
Solve for 𝒙
2. 𝟎.𝟐𝟓 𝟑𝒙−𝟒 −𝟎.𝟓𝒙=𝟐.𝟕𝟓
3. 𝟕− 𝟑 𝟒 𝒙= 𝟏 𝟐 𝒙−𝟑

4. MASTERS
Scoring: 4 points
If a triangle weighs 3 grams, and a circle weighs 5 grams, what is the weight of a square in grams?

5. 5. Given: y = 2x, z = 2y and the perimeter of the polygon is 70
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Scoring: 5 points
5. Given: y = 2x, z = 2y and the perimeter of
the polygon is 70
Find: x + y + z x
z + x y y
2z - 1
y + x y + z

6. MASTERS
Scoring: 5 points
Solve for 𝒙
𝟑 𝟓 − 𝟑 𝟓 𝒙 𝟐 −𝟑 = 𝟑 𝟐 𝒙 𝟓 −𝟏 −𝟑

7. MASTERS
Scoring: 4 points
7. The average high temperature in Bunn in February is 50°F. Using the formula
𝐅= 𝟗 𝟓 𝑪+𝟑𝟐
what is 𝑪, the average high temperature
in degrees Celsius?

8. 8. Triangle FGH has angle measures
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Scoring: 4 points
8. Triangle FGH has angle measures
of F = (6x + 17)°, G = (4x – 3)°, and
H = (2x – 2)°. What is the actual measure of angle G?

9. 9. Which equation has infinite solutions? A. 3(5x – 4) – 8x = 7x – 12
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Scoring: 4 points
9. Which equation has infinite solutions?
A. 3(5x – 4) – 8x = 7x – 12
B. 2x – 5 = 2(x – 5)
C. 22 – 6x = 2(3x – 11)
D. 8x = 8(x – 1) + 1

10. MASTERS
Scoring: 4 points
10. Given: Three times a number q minus eight is equal to five times the same number plus ten.
Given: Ralph, r, is four years older than Sarah, s. When their ages are added together, they equal 26.
Find: 6q + 3r + 4s

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