Practice Questions

Math · Algebra · Difficulty: 1

What is the value of $x$ if $3x + 7 = 22$?

1. 3
2. 5
3. 7
4. 9

Math · Advanced Math · Difficulty: 2

In the $xy$-plane, the graph of $y = x^2 - 4x + 7$ intersects the line $y = 2x + 1$ at two points. What is the sum of the $x$-coordinates of the two intersection points?

1. 2
2. 4
3. 6
4. 12

Math · Advanced Math · Difficulty: 2

$\sqrt{2x+3}=x$ Which value of $x$ satisfies the equation above?

1. $-3$
2. $-1$
3. $1$
4. $3$

Math · Advanced Math · Difficulty: 2

The function $f$ is defined by $f(x)=\frac{2^x}{4}$. If $f(2a)=64$, what is the value of $a$?

1. 1
2. 2
3. 3
4. 4

Math · Advanced Math · Difficulty: 1

If $x > 0$, what is the value of $x$ that satisfies $x^4 = 16$?

1. $-2$
2. $2$
3. $4$
4. $8$

Math · Advanced Math · Difficulty: 2

The function $f$ is defined by $f(x) = -2x^2 + 8x + 10$. What is the maximum value of $f$?

1. $18$
2. $8$
3. $10$
4. $2$

Math · Advanced Math · Difficulty: 2

For all values of $x$ where $x \neq 4$ and $x \neq -4$, which expression is equivalent to $\frac{3x^2 - 12x}{x^2 - 16}$?

1. $\frac{3x}{x + 4}$
2. $\frac{3x}{x - 4}$
3. $\frac{3x - 12}{x + 4}$
4. $\frac{x}{x + 4}$

Math · Advanced Math · Difficulty: 2

For $x \geq 0$, which expression is equivalent to $\sqrt{50x^6}$?

1. $25x^3$
2. $2\sqrt{5}\,x^3$
3. $5\sqrt{2}\,x^6$
4. $5\sqrt{2}\,x^3$

Math · Advanced Math · Difficulty: 1

Which of the following expressions is equivalent to $x^2-9$?

1. $(x-3)(x+3)$
2. $(x-9)(x+1)$
3. $(x-3)^2$
4. $(x+3)^2$

Math · Algebra · Difficulty: 2

The line in the $xy$-plane passes through the points $(2, 7)$ and $(6, 15)$. Which equation represents this line?

1. $y = 2x + 3$
2. $y = 4x - 1$
3. $y = \frac{1}{2}x + 6$
4. $y = 2x + 7$