Entries Tagged as '3: alg func patterns'

Sample Test Item 49 (2003)

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We are provided two points of information. We can use this data to eliminate impossible answers.

The y-intercept is located at y = 6. This eliminates Choices A and C.

The x-intercept x = 3 is found on the left side of the positive y-intercept. Thus, the slope must be negative. Choice is eliminated.

Our only choice left is Choice D.

Sample Test Item 44 (2003)

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We start with

2(3x - 2y) + 4y

We multiply out the expression

6x - 4y + 4y

We group like terms (4y - 4y = 0)

6x - 0

Our final expression is simply is

6x

Sample Test Item 39 (2003)

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We start with the given equation…

3x + 7 = 2x

Substract 3x from both sides.

7 = -x

Divide both sides by -1.

x = -7

Thus, the solution is Choice C.

Sample Test Item 32 (2003)

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The second equation is a multiple of the first equation.

Thus, the lines coincide, which is Choice A.

Sample Test Item 29 (2003)

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Looking at the graph, you see the object at t=0 is at some height h.

The objective falls below ground level and then returns to the surface. Choice B, C, and D refer to situations where the height is non-negative.

Thus, Choice A is our only choice.

Sample Test Item 18 (2003)

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If you divide both sides of the second equation by 3.

You will have

y = 2x - 2.

This has the same slope as

y = 2x + 6.

Thus, these lines are parallel; that is they will never intersect.

Choice B is the correct answer.

Sample Test Item 11 (2003)

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The cubed root of 125 is 5. Choice D is eliminated.

The cubed root of x3 is x. Choice A is eliminated.

Cubed root of y6 is y2, in which case, the only option is Choice C

Sample Test Item 10 (2003)

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Divide both sides by 4 and you are left with the expression: 6x - 10 = 2x + 10.

You can group the like terms to get 4x = 20. Only 5 * 4 = 20.

The solution is Choice D.

Sample Test Item 9 (2003)

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The product of the numbers in this algebraic expression is 12. The only choice is Choice D.

Sample Test Item 8 (2003)

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Because this expression multiplies two x-terms, the solution must have an x-squared term. Choice A is eliminated.

Because the expression is not a perfect square, there must be an x-term in the solution. Choice B is not possible.

Only Choices C and D are possible. Looking at the x-term, we see that 7x - 4x = 3x.

Thus, Choice D is our solution.

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