#### puremath

##### Active member

Algebra Practice Test 1

1. Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price, B for bathroom, and R for other rooms, create a formula describing the situation.

2. Given f(x) = 2x^2 − 3x + 7, find f(2.5)

3. Solve 5x + 8 < 3(x + 2)

4. Simplify (x^6)(x^5)

5. The area of a circle is 100π. Find the radius and diameter.

6. Graph y = 2x + 1 and y = 2x - 1 on the same xy-plane. What observation can you make regarding the two graphs?

7. Solve for m: y = mx + b

8. Solve for b: y = mx + b

9. Given f(x) = 2x^2 − 3x + 7, find f(f(x)).

10. Given f(x) = 2x^2 − 3x + 7, find f(1/f(x)).

1. Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price, B for bathroom, and R for other rooms, create a formula describing the situation.

2. Given f(x) = 2x^2 − 3x + 7, find f(2.5)

3. Solve 5x + 8 < 3(x + 2)

4. Simplify (x^6)(x^5)

5. The area of a circle is 100π. Find the radius and diameter.

6. Graph y = 2x + 1 and y = 2x - 1 on the same xy-plane. What observation can you make regarding the two graphs?

7. Solve for m: y = mx + b

8. Solve for b: y = mx + b

9. Given f(x) = 2x^2 − 3x + 7, find f(f(x)).

10. Given f(x) = 2x^2 − 3x + 7, find f(1/f(x)).

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