Keystone Algebra I Practice

An expression is shown below. 6√(91x) Which value of x makes the expression equivalent to 42√(91) ?

• 7

• 49

• 294

• 1,764

What is the greatest common factor of 36x^3 and 8x?

• 8x^3

• 4x

• 8x

• 4x^3

Simplify the expression.

• 24

• 384

• 512

• 1,536

Factor the expression below. x² - 8x + 16

• (x - 4)(x - 4)

• 4(x² - 2x + 4)

• (x + 4)(x + 4)

• (x - 4)(x + 4)

Simplify the rational expression. x² - 3x - 54 / x² - x - 42; x ≠ -6, 7

• x - 9 / x - 7

• x + 6 / x - 7

• x + 9 / x + 7

• x - 6 / x + 7

Eric makes $8 per hour plus an average of $200 per week in commission at the DBM record store. If x represents the number of hours he works per week, and C is the total amount of money he makes per week, which equation represents the total amount of money he makes per week?

• C = 200x + 8

• C = 8x

• C = 40x

• C = 8x + 200

Identify the graphical solution to the inequality. | -2x + 7 | ≥ 23

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Craig had a budget of 84 dollars to spend on books and movies. He bought six books at x dollars each and three movies at 12 dollars each. Model Craig's situation with an inequality, and solve for x. What can be interpreted about the solution of the inequality?

• Each book costs no more than 8 dollars.

• Each book costs no more than 7 dollars.

• Each book must cost at least 7 dollars.

• Each book must cost at least 8 dollars.

The number of trading cards sold by a toy store during the first 5 days since the cards were released are listed below. 1,075 1,115 1,155 1,195 1,235 The number of trading cards sold follows a pattern. Which expression can be used to determine the number of trading cards sold on the nth day after they were released?

• 40(n + 1,035)

• 1,035n + 40

• 40n + 1,035

• 1,075n

Identify the relation that is also a function.

• {(1, 0), (2, 3), (3, -1), (1, 5)}

• {(5, 4), (5, 1), (5, 3), (0, 5)}

• {(0, -1), (1, -2), (2, -3), (-1, 2)}

• {(4, 2), (4, -3), (9, 3), (9, -3)}