# Algebra II Preview Readiness Test

26 Questions  Settings  Related Topics
• 1.
Evaluate:  [(y + x)/2] + (3y/x)  for x=2 and y =4
• 2.
Simplify:   (32prq)/(4qrp)
• 3.
Simplify:  8x - (-2x) - 14 - ( -5x) + 53
• 4.
Factor:   ax - ay - az
• 5.
Write an equation and solve the equation below:    Two and one half times a number equals one and one fifth. Find the number.
• 6.
F (x) = 3x + 7  and g (x) = x2 - 2x,  find f(8) - 5
• 7.
Translate the statement below into an equation:    The number g divided by the product of x and y.
• 8.
Solve the system:    6x + 5y = (-7)                              2y = (-1) - 3x(use commas between multiple answers)
• 9.
Simplify:    10 [ -12+ (-2/3)]                       -12 (-3/2)
• 10.
Solve:    |2 - 3x|  > 1
• 11.
Simplify  (3a2b)2 (ab3)3for answer just put x3 for x3
• 12.
Factor:  4x2y3 + 3x3yremember: just put x3 for x3
• 13.
Factor:  8a2 - 24a + 18
• 14.
Factor:    ab - 2a + 5b - 10
• 15.
Factor:  54x3 + 2y3remember: just put x3 for x3
• 16.
Solve:  (1/4)(8y + 4) - 17 = (-1/2)(4y - 8)
• 17.
Given the equation of a line is   2x = 3y + 6   ,    (a)    Find the slope of the line.    (b)    Find the coordinates of the point where the line crosses the y-axis (place a comma between multiple answers)
• 18.
Find the GCF (greatest common factor) of   15a3c2, 45ac3, 60a2c4 remember: just put x3 for x3
• 19.
Find the LCM (least common multiple) of  6a2b, 18ab3, 12b5 remember: just put x3 for x3
• 20.
Multiply and simplify:    (2x2 + 3x + 1)(2x + 1)remember: just put x3 for x3
• 21.
Add the polynomials:    2p3q - 3pq2   and p2q2 + 2pq2 - pq3                 remember: just put x3 for x3
• 22.
Subtract the first polynomial from the second: 2p3q - 3pq2   and p2q2 + 2pq2 - pq3remember: just put x3 for x3
• 23.
Solve:   4|x - 7| < 12
• 24.
Simplify: (2a2b)3(3b)remember: just put x3 for x3
• 25.
Find the domain and the range of the function given:  {(-1,5), (6,2),(7,2),(10,3)}.e.g. answer   D: {...,...,...}                      R: {...,...,...}make sure to put them in order from least to greatest with commas between them
• 26.
Solve: 3(x - 1) + 2x = 4