ACT Math

SAT Question of the Day

The SAT question of the day is an Identifying Sentence Errors Question that has already been addressed on this blog: click here to see an explanation.

ACT Question of the Day

The ACT question for today asks how you would represent an x that is multiplied by itself four times.  This should be an easy question if you understand exponents.  Think about it: (x)(x)(x)(x) contains x four different times.  You write this in math as x to the power of 4.  Remember, an exponent is just a short way to write how many times you are multiplying a number by itself.  If you find exponents difficult, you can still reach the answer by using the strategy of choosing a number for x and seeing which answer choice matches the original problem.   Look at the answer choices on the ACT site.

(A)  Is meant to distract you if you see x four times and think of multiplication.  However, try plugging in x = 1.  (1)(1)(1)(1) = 1, but 4(1) = 4.  This answer cannot be correct.

(B)  This answer matches your answer!  It also works if you plug in x = 1.   (1)(1)(1)(1) = 1 and 14 =1.

(C)  If you plug in x = 1, you will see that this answer is incorrect.   (1)(1)(1)(1) = 1, but 1 + 4 = 5.

(D)  Again, if you aren’t sure, plug in x = 1.  (1)(1)(1)(1) = 1, but 41 = 4.  This does not match your original equation.

(E)  This answer is also incorrect.  (1)(1)(1)(1) = 1, but 2(1)2 = 2.

The correct answer is (B).

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