# Simplify Expressions

> TSI Math Test Study Guide · Hightower High School P-TECH (2023)
>
> Source: [complete Markdown guide](../TSI-Math-Test-Study-Guide.md) · [original PDF](../1062198634-Hightower-TSI-Test-Study-Guide-v2-MATH.pdf)


#### 1. If $4b - 1 = b$, then 24b = ?

**A.** $\frac{1}{3}$

**B.** 8

**C.** 4

**D.** $-3$


#### 2. $\left(\frac{5a}{b}\right)^2$ = ?

**A.** $\frac{5a^2}{b^2}$

**B.** $\frac{25a}{b^2}$

**C.** $\frac{25a^2}{b^2}$

**D.** $\frac{10a^2}{b}$


#### 3. $\left(\frac{7}{x}\right)^2$ = ?

**A.** $\frac{14}{x^2}$

**B.** $\frac{49}{x^2}$

**C.** $\frac{7^2}{x}$

**D.** $\frac{x^2}{49}$


#### 4. $\left(\frac{12}{b}\right)^2$ = ?

**A.** $\frac{24}{b^2}$

**B.** $\frac{12}{b}$

**C.** $\frac{144}{b}$

**D.** $\frac{144}{b^2}$


#### 5. If a ≠ 0, a ≠ 1, and (ax − b) / (a − 1) = b, what is the value of x?

**A.** $b$

**B.** 1

**C.** $a$

**D.** $\frac{b}{a}$


#### 7. If $a + \sqrt{x} = b$, then x = ?

> Added practice choices; these options were not printed in the original PDF.

**A.** $b - a$


**B.** $(b - a)^2$


**C.** $b^2 - a$


**D.** $a^2 - b^2$