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SAT Equivalent expressions practice questions

Factor, expand, and rewrite polynomial, rational, and exponential expressions. Below are 20 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.

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Question 1
Which expression is equivalent to 3(2x - 5) + 4x?
Easy
Question 2
Which expression is equivalent to (x^2 + 3x - 4) - (2x^2 - x + 6)?
Easy
Question 3
Which expression is equivalent to x^2 - 25?
Easy
Question 4
Which expression is equivalent to 4x^3 3x^2?
Easy
Question 5
The expression (x + 4)(x + 6) is equivalent to x^2 + bx + 24, where b is a constant. What is the value of b?
Easy
Question 6
For x > 0, which expression is equivalent to 12x^2 + 8x4x?
Easy
Question 7
Which expression is equivalent to (2x - 3)^2?
Medium
Question 8
The expression (3x + 2)(2x - 5) is equivalent to ax^2 + bx + c, where a, b, and c are constants. What is the value of a
Medium
Question 9
Which of the following is a factor of 2x^2 + 7x - 15?
Medium
Question 10
For x > 0, which expression is equivalent to x^32?
Medium
Question 11
For x > 2, which expression is equivalent to 1x + 2 + 1x - 2?
Medium
Question 12
Which expression is equivalent to 9x^2 - 30x + 25?
Medium
Question 13
For x -4, the expression 2x^2 + 5x - 12x + 4 is equivalent to ax + b, where a and b are constants. What is the value of
Medium
Question 14
For x > 0 and y > 0, which expression is equivalent to x^-2y^3x^4y^-1?
Medium
Question 15
The expression (ax + 3)(5x + b), where a and b are constants, is equivalent to 10x^2 + kx + 21, where k is a constant. W
Hard
Question 16
For x 12, the expression 6x + 52x - 1 is equivalent to 3 + A2x - 1, where A is a constant. What is the value of A?
Hard
Question 17
Which of the following expressions is equivalent to 1,200(1.06)^t?
Hard
Question 18
The expression 4x^2 - 24x + 41 is equivalent to a(x - h)^2 + k, where a, h, and k are constants. What is the value of k?
Hard
Question 19
If x - 1x = 5, what is the value of x^2 + 1x^2?
Hard
Question 20
For x > 3, which expression is equivalent to 2x - 3 - 12x^2 - 9?
Hard