# Algebra EOC Prep #1: Question Preview (ID: 14644)

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**Scenario A: Write a system of equations to fit this scenario.**

a) l = 2w - 3 and l + w = 54

b) l - 3 = 2w and lw = 54

c) l = 2w - 3 and lw = 54

d) l - 3 = 2w and l + w = 54

**Scenario A: Write a quadratic equation to fit this scenario.**

a) 2w^2 + 3w - 54 = 0

b) 2w^2 - 3w - 54 = 0

c) 2w^2 - 3w + 54 = 0

d) None of the above

**Scenario A: Find the dimensions of the photograph.**

a) w = 3, L = 18

b) w = 6, L = 6

c) w = 27, L = 2

d) w = 6, L = 9

**Scenario B: Write a quadratic equation to fit the situation.**

a) x^2 + 5x + 6 = 30

b) 3x * 2x = 30

c) x^2 + 5x + 6 = -30

d) x^2 + 5x - 6 = 30

**Scenario B: What were the dimensions of the original square?**

a) 6ft by 6ft

b) 6ft by 5ft

c) 3ft by 3ft

d) 5ft by 5ft

**Scenario B: What are the dimensions of the new rectangle?**

a) 6ft by 6ft

b) 6ft by 5ft

c) 3ft by 3ft

d) 3ft by 6ft

**Scenario C: What type of equation should be used to find the dimensions of the garden?**

a) A system of equations

b) Linear

c) 5m by 12m

d) Quadratic

**Scenario C: Write a quadratic equation to fit the situation.**

a) x^2 + 17x + 60 = 0

b) x^2 + 17x - 60 = 0

c) (x + 5)(x + 12) = 0

d) none of the above

**Scenario C: What were the dimensions of the original garden?**

a) 8m by 12m

b) 8m by 15m

c) 5m by 15m

d) 5m by 12m

**Scenario C: What are the dimensions of the new garden?**

a) 8m by 12m

b) 8m by 15m

c) 5m by 15m

d) 5m by 12m

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