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Review: Algebra Part 1

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Last updated about 2 years ago
15 questions
1
Question 3
3.

y = 2x + 11
y = -3x + 1

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Ms. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts sold a total of 110 CDs over the 2 weeks. Which system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week?
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Question 1
1.

What are your equations?

1
Question 2
2.

What is your final answer?

Question 4
4.

x = 3y - 10
-2x + 4y = -4

At a restaurant, the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Which pair of equations can be used to determine t, the cost of a taco, and m, the cost of a small glass of milk?
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Question 5
5.

What are your equations?

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Question 6
6.

What is your final answer?

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Question 7
7.

Find the values of a using any method you'd like.

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Question 8
8.

Find the number of possible solutions in this quadratic equation and hence find the values of x.

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Question 13
13.

The sum of two numbers is 22, and the product of these two numbers is 120. What are the numbers?

Question 14
14.

A train travelled 240 km at a certain speed. When the engine was replaced by an improved model, the speed was increased by 20 km/hr and the travel time for the trip was decreased by 1 hr. What was the rate of each engine?

Question 15
15.

A park swimming pool is 10 m wide and 25 m long. A pool cover is purchased to cover the pool, overlapping all 4 sides by the same width. If the covered area outside the pool is 74 m2, how wide is the overlap area?

Question 9
9.

Find the values of x using splitting the middle term and hence find the roots of the equation.

Question 10
10.

Find the values of n using completing the squares and hence find the vertex.

Question 11
11.

Find the values of x using quadratic formula

Question 12
12.

Challenging: Find the values of k