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Review: Algebra Part 1

Last updated almost 2 years ago
15 questions
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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What are your equations?

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What is your final answer?

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

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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?
1

What are your equations?

1

What is your final answer?

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

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

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

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

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Find the values of x using quadratic formula

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Challenging: Find the values of k

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

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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?

1

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?