MCAP Algebra

Two quadratic relationships, J and K, are represented in the following table and graph, respectively. Which of the following statements about the relationships are true? Select ALL that apply.

• The x-intercepts for relationship J are 5 units apart.

• The x-intercepts for relationship K are 5 units apart.

• The y-intercept for relationship J is 6 units from the origin.

• The y-intercept for relationship K is 6 units from the origin.

Which equation defines function f?

Which of the following expressions can be written as (ax+b)(ax-b), where a and b are integers? Select ALL that apply.

Which of the following sums or products are rational? Select ALL that apply.

Mr. Carnegie will buy pencils and pens for his students for the school year. He can spend no more than $30 on pencils and pens. Pencils cost $0.15 each, and pens cost $0.75 each. He needs to buy at least 3 times as many pencils as pens. Which of the following systems of inequalities can be used to determine the number of pencils that Mr. Carnegie can buy? Select one answer.

• Quadrants I and II only

• Quadrants I, II, and III only

• Quadrants I, II, and IV only

• Quadrants I, II, III, and IV

Samantha has $35 in her savings account. At the end of each week, she will add $20 to the account. Which equation describes the total amount S, in dollars, that Samantha will have in her account at the end of week w? Select one answer.

• S = 15w

• S = 55w

• S = 20 +35w

• S = 35 +20w

What value of x is the solution of the equation (3x - 7)/5 = x + 1? Enter your answer in the space provided.

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The graph of y = f(x) is shown in the xy-plane. Which equation defines function f?

• f(x) = 7/5x - 7

• f(x) = 7/5x + 5

• f(x) = 5/7x - 7

• f(x) = 5/7x + 5