# Solving Equations

> 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 x + 3(2x − 5) = 6 what is the value of x?

**A.** $- 2$

**B.** $1 \frac{4}{7}$

**C.** 0

**D.** 3


#### 2. If 3(4x + 2) = 7 what is the value of x?

**A.** $- 1$

**B.** $\frac{1}{12}$

**C.** 10

**D.** $-5$


#### 3. If 4p + 1 = 10 what is the value of p?

**A.** $- 2$

**B.** $\frac{9}{4}$

**C.** $- 1$

**D.** $\frac{11}{4}$


#### 4. If $x = 3$ in the equation below, what is the value of a? $ax - 10 = x + 2$

**A.** 5

**B.** 10

**C.** 15

**D.** 20


#### 5. If x − 10 = 5x − 10 what is the value of x?

**A.** $- 5$

**B.** $-3 \frac{2}{3}$

**C.** 0

**D.** 5


#### 6. If $6(t - 2) - 4 = 2t$, then t =?

**A.** $-2$

**B.** 0

**C.** 2

**D.** 4


#### 7. If $4 = \frac{7+y}{2}$, then $y = ?$

**A.** $-1$

**B.** $\frac{7}{9}$

**C.** 1

**D.** 7


#### 8. If $\frac{x}{2} = \frac{x+1}{3}$, then $x = ?$

**A.** 1

**B.** 2

**C.** 3

**D.** 4


#### 9. If $4b - 3 = 2b$, then 12b = ?

**A.** 6

**B.** 8

**C.** 18

**D.** 24


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

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

**B.** 1

**C.** $\frac{25}{5}$

**D.** 8


#### 11. If $\frac{x}{4} = \frac{x+1}{5}$, then $x = ?$

**A.** 1

**B.** 2

**C.** 3

**D.** 4


#### 12. If $3 = \frac{8-r}{2}$, then $r = ?$

**A.** $- 1$

**B.** $-2$

**C.** 2

**D.** 4


#### 13. If $3 = \frac{8-r}{r}$, then $r = ?$

**A.** $- 1$

**B.** $-2$

**C.** 2

**D.** 4


#### 14. If $3(4x + 2) = 7$, then x =?

**A.** 12

**B.** $\frac{1}{2}$

**C.** $\frac{5}{12}$

**D.** $\frac{1}{12}$


#### 15. If $\frac{2}{(5x)} + \frac{1}{x} = 35$, then x = ?

**A.** $\frac{1}{25}$

**B.** $\frac{1}{5}$

**C.** 5

**D.** 7


#### 16. If x + y = 12 and x = 2y, then x?

**A.** 2

**B.** 6

**C.** 8

**D.** 10


#### 17. If $n + (3n) = 12$, what is n?

**A.** 2

**B.** 3

**C.** 4

**D.** 5


#### 18. If x = 5 and y = 3, then 3x + 5y =?

**A.** 25

**B.** 30

**C.** 35

**D.** 40