# Algebraic 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. A rental car company charges \$45 per day for a car rental, plus an additional \$0.25 per mile driven. Which of the following represents the cost in dollars of renting a car per d days and driving m miles?

**A.** $45 + 0.25 + d + m$

**B.** $45 \cdot 0.25 + d$

**C.** $45d + 0.25m$

**D.** $45 d + 25 m$


#### 2. A rectangular swimming pool is x meters wide. The length of the swimming pool is twice as long as the width. If the perimeter of the pool is 64 meters, which of the following equations represents the given information?

**A.** $x + x + 2x + 2x = 64$

**B.** $x + 2x = 64$

**C.** $x + 2 + x + 2 = 64$

**D.** $2x + 2x + 2x + 2x = 64$


#### 3. The width of a rectangle is 10 meters. The length of the rectangle is three times as long as it's width. Which is equal to the perimeter of the rectangle?

**A.** $(10 + 10 + 30 + 30)$

**B.** $(10 + 30)$

**C.** $(10 \times 30)$

**D.** $2(10 \times 30)$


#### 4. Which of the following sentences can be used to represent the equation below? $\frac{n}{3}$ + 6 = 5

**A.** Six more than a number n equals 5

**B.** Six more than one third of a number n equals 5

**C.** Three more than a number n divide by 6 equals 5

**D.** A number n put one third of 6 equals 5


#### 5. Which of the following number that added to 5, gives a result less than 13?

**A.** 7

**B.** 8

**C.** 9

**D.** 10


#### 6. Twice a number is 4 less than 26. What is the number?

**A.** 9

**B.** 11

**C.** 15

**D.** 18


#### 7. Which of the following expressions is 5 times as much as the sum of r and s?

**A.** $5 \times r + s$

**B.** $5 + r + s$

**C.** $r + s \times 5$

**D.** $(r + s) \times 5$


#### 8. Alice earns x dollars per hour for the first 40 hours she works and 1.5 times as much for each hour over 40. If Alice works for 48 hours, how much money will she earn?

**A.** \$52x$

**B.** \$48x$

**C.** $40 + 12x$

**D.** $40x + 12$


#### 9. Maria has three more dollars than Zulma. According to the statement above, which of the following inequalities is true?

**A.** Maria > Zulma

**B.** Maria < Zulma

**C.** Maria + 3 < Zulma

**D.** Maria < Zulma − 3


#### 10. At a restaurant the cost for a breakfast taco and a small glass of milk is \$2.10. The cost for 2 tacos and 3 small glasses of milk is \$5.15. What pair of equations can be used to determine t, the cost of a taco, and m, the cost of a small glass of milk?

**A.** $t + m = 5.15; 2t + 3m = 2.10$

**B.** $t - m = 5.15; 2t - 3m = 2.10$

**C.** $t + m = 2.10; 2t + 3m = 5.15$

**D.** $t - m = 2.10; 2t - 3m = 5.15$


#### 11. Jill read a book at an average of p pages per minute for m minutes, the book has 160 pages, which of the following represents this context?

**A.** $p m = 160$

**B.** $p + m = 160$

**C.** $p \cdot m = 160$

**D.** $160 + m = p$


#### 12. A store charges 25 cents for each ruler and 5 cents each pencil. Sarah bought r and p from store, which of the following represents the amount in cents the store charged her?

**A.** $25r + p$

**B.** $5(5r + p)$

**C.** $30(r + p)$

**D.** $5r + 25p$