Act Math Practice

Intermediate Algebra Answer 3

Intermediate Algebra Answer 3:

3. In the equations below, x represents the cost of one video game when renting video games online and y reporesents the cost of one movie ticket when purchasing discounted movie tickets online.

If x - 2 > 5
and y = x - 2

Then the cost of 2 discounted movie tickets is greater than which one of the following?

A. x - 2

B. x - 5

C. y + 5

D. 5

E. 10

The correct answer is E.

For problems like this, look to see if both of the equations have anything in common.

In this problem, both equations contain x - 2.

The cost of one movie ticket is represented by y and y is equal to x - 2.

Therefore, we can substitute values from one equation to another.

x - 2 > 5
y > 5

If two tickets are being purchased, we need to solve for 2y:

y > 5
y ´ 2 > 5 ´ 2
2y > 10

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