CAT · Quantitative Ability

Algebra

37 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 37 questions

If $6 x + 3 = 15$ , what is the value of $7 x$ ?
If $4 x + 3 = 27$ , what is the value of $5 x$ ?
If $6 x + 7 = 37$ , what is the value of $7 x$ ?
If $5 x + 2 = 37$ , what is the value of $6 x$ ?
If $4 x + 7 = 39$ , what is the value of $5 x$ ?
If $x^{2} - 7 x + 12 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 11 x + 28 = 0$ , what is the sum of the possible values of $x$ ?
If $4 x + 8 = 44$ , what is the value of $5 x$ ?
If $6 x + 2 = 50$ , what is the value of $7 x$ ?
If $4 x + 7 = 19$ , what is the value of $5 x$ ?
If $2 x + 3 = 17$ , what is the value of $3 x$ ?
If $6 x + 3 = 27$ , what is the value of $7 x$ ?
If $x^{2} - 5 x + 4 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 9 x + 14 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 10 x + 9 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 7 x + 10 = 0$ , what is the sum of the possible values of $x$ ?
If $3 x + 6 = 30$ , what is the value of $4 x$ ?
If $5 x + 7 = 47$ , what is the value of $6 x$ ?
If $2 x + 2 = 20$ , what is the value of $3 x$ ?
If $5 x + 2 = 42$ , what is the value of $6 x$ ?
If $5 x + 8 = 48$ , what is the value of $6 x$ ?
If $2 x + 2 = 16$ , what is the value of $3 x$ ?
If $x^{2} - 10 x + 24 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 15 x + 54 = 0$ , what is the sum of the possible values of $x$ ?
How many ordered pairs $(x, y)$ of positive integers satisfy $x^{2} - y^{2} = 105$ ?
If $α$ and $β$ are the roots of $x^{2} - 6 x + 4 = 0$ , what is the value of $\frac{α ^{2}}{β} + \frac{β ^{2}}{α}$ ?
For how many integer values of $x$ is $\frac{( x - 1 ) ( x - 4 )}{( x - 2 ) ( x - 6 )} \leq 0$ ?
If $2 x + 4 = 22$ , what is the value of $3 x$ ?
If $x^{2} - 14 x + 48 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 6 x + 8 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 10 x + 16 = 0$ , what is the sum of the possible values of $x$ ?
If $2 x + 5 = 11$ , what is the value of $3 x$ ?
If $x^{2} - 8 x + 7 = 0$ , what is the sum of the possible values of $x$ ?
If $x^{2} - 15 x + 56 = 0$ , what is the sum of the possible values of $x$ ?
If log_2(x) + log_4(x) + log_16(x) = 21/4, what is the value of x?
For how many integer values of n is the expression (n^2 - 9n + 20) / (n - 3) an integer?
If a, b, and c are positive real numbers such that a + b + c = 1, what is the minimum value of (1/a + 1/b + 1/c)?

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