Math MCap Algebra 1

Function f is defined as f(x) = x^2 - 6x + 14. What is the minimum value of f(x)?

• A: -3

• B: 3

• C: 5

• D: 14

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

Tags

CCSS.8.EE.C.7B

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

• x^2 - 9

• x^2 - 11

• 4x^2 - 1

• 4x^2 - 2

• 9x^2 - 4

Tags

CCSS.HSA.APR.C.4

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

• √4 + √9

• (0.2) / (5/7)

• 4 * √2

• 0.4 + 0.3

• -1/5 + √2

Tags

CCSS.7.NS.A.1D

The equation (x^2 - 8x - 5 = 0) can be transformed into the equation ((x - p)^2 = q), where (p) and (q) are real numbers. What is the value of (q)? Enter your answer in the space provided.

Tags

CCSS.HSA-REI.B.4B

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.

• A) 0.15x + 0.75y ≥ 30 and y ≥ 3x

• B) 0.15x + 0.75y ≤ 30 and y ≤ 3x

• C) 0.15x + 0.75y ≥ 30 and 3y ≥ x

• D) 0.15x + 0.75y ≤ 30 and 3y ≤ x

Function ( f ) is defined by ( f(x) = (x - 5)^2 + 1 ). Function ( g ) is defined by ( g(x) = f(x) - 2 ). The four quadrants are labeled in the xy-plane shown. Which quadrants contain points on the graph of ( y = g(x) )?

• 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

Tags

CCSS.HSF-BF.A.1A

A system of equations is given: What is the value of x in the solution (x, y) to the system?

• 4/7

• 4/11

• 2/7

• 2/11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6