Review of Algebra I

Which of the following is a solution set to x ² - 12 = 5x + 2 ?

Solve for y in 2y + 5 = - 3y - 10 .

Which property is illustrated in the following:
y = 5x and 5x = 3 . Thus, y = 3 .

Meredith and Molly go shopping. Meredith buys a shirt for $10 and two pairs of pants for $10 each. She has $15 left over. Molly buys a dress for $50 and two packs of cards. If Molly started with $20 more than Meredith, and if Molly spent all her money, how much does one pack of cards cost?

Tobin rows 2 miles per hour faster than her opponent. If it takes Tobin 30 minutes to finish a race, and it takes her opponent 45 minutes to finish the same race, how fast does Tobin row?

Greg receives the following scores on his math tests: {90, 83, 78, 95} . What is the minimum score he needs on the last math test in order to get an 85 average in the class?

Solve for x in 3x + 2≤ - x - 2 .

What inequality does the following graph represent?

Solve for y in - y + 6 < - 4y .

Name all the members of set A :

If P = {2, 3, 0, 8, 7, -1} and Q = {0, 1, 6, 8, -3, -2} , what is Q∩P ?

What inequality does the following graph represent?

Compute 3×| 4 - 5|×| 15| - | - 2| .

Solve for x in -4| x - 3| = - 16 .

Solve for y in 6 - | - 3y + 1| = 8 .

If Marsha grabs one shirt from a drawer containing 2 white shirts, 6 black shirts, and 8 striped shirts, what is the probability that she will grab a black shirt?

(A)

(B)

(C)

(D)

What is the probability of an event if the probability of its complement is ?

(A) -

(B) -

(C)

(D)

The mean of {5, 6x - 1, 12, and - 2} is 8 . What is x ?

(A) x =

(D) x =

The median of {2, 3, 6, x, 11, -2} is 4.5 . Which of the following numbers could be a value of x ?

The mode of {2, 8, 9, 8, 4, 4, 8, x} is 8. Which of the following could not be a value of x ?

Which of the following ordered pairs (x, y) is a solution to xy = 3x - 9 ?

Which of the following could be a graph of y - 3 = 2x ?

What is the x -intercept of y - 6 = 3(x + 2) ?

What is the slope of the line that passes through (- 2, 4) and (7, 1) ?

(A) -

(B)

What is the slope of the line given by the equation 6y - 3x = 12 ?

(B) -

(C)

Which equation describes the following graph?

What is y - 4 = (x - 2) in general linear form?

(A) y = x + 3

What is 4x - 3y = 8 in slope-intercept from?

(A) y = x - 2

(B) y = x -

(C) y = - x +

(D) y = x - 8

If y varies directly as x , and y = 6 when x = 9 , which of the following equations describes this variation?

(A) y = x

(B) y =

(C) y = x

If y varies directly as x , and y = 7 when x = 14 , what is x when y = 18 ?

(A) x =

If y varies inversely as x , and y = 4 when x = 2 , which of the following equations describes the variation?

(A) xy =

Solve the following system of equations for (x, y) :

Solve the following system of equations for (x, y) :

Which statement is true about the system:

4y - 5x	=	16
y	=	+ 4

Which of the following is an inconsistent system?

(B) 6y + 3x = - 6
y = - x - 6

Simplify and rationalize the denominator:

(A)

(B)

(C)

(D)

Simplify and rationalize the denominator: ×

(A)

(B)

(C)

(D)

Simplify .

(A) 5xz

(B) 15xy

(C) 225x ² y ²

(D) 15x ² y

Simplify (x ²)(4x) + (- 6x ²)³ - .

Write the answer in scientific notation: 4.5×10¹7 - 5.6×10¹6

Write the answer in scientific notation: (3.0×10⁵)×(1.5×10^-9)

Write the answer in scientific notation: (7.5×10^-6)÷(2.5×10^-3)

What is the degree of the polynomial -5x ⁶ y ² +2x ⁷ +3x ² + xyz ⁵ ?

Simplify 5x ² y(- 3x - 2xy + x ² y) .

Multiply and simplify: (4x - 3)(- 2x + 1)

Factor x ² - 10x - 24 .

Solve for x in x ² + 6x + 9 = 0 .

Solve for x in 12x ² - x - 2 = 0 .

(B) x = , -

(D) x = , -

How many times does the graph of y = - 5x ² + 6x - 2 cross the x -axis?

Complete the square in the equation y = 8x ² + 8x + 1 .

(B) y = 8(x + )² - 1

(C) y = 8(x + )² - 1

(D) y = 8(x + )² +