An **algebraic expression** is an **expression** that is built up from integer constants, variables, and mathematical operations like; addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number.

**Algebraic Expressions & Equations Worksheet-5**

- What is the variable in the expression shown below?

y + 10 − 3

A. y B. 10 C. y + 10 D. 3

- Manju baked 15 cupcakes and her friend Yamini baked twice as many cupcakes. How many cupcakes did Yamini bake?

A. 8 B. 32 C. 30 D. 45

- If y represents a number, which of the following means "8 divided by that number"?

A. 8 + y B. y – 8 C. y ÷ 8 D. 8 ÷ y

- Product of two numbers is 64. If one of the number is 8, find the other number.

A. 7 B. 8 C. 56 D. 6

- Write the following statement as an algebraic equation. Four times a number n, is 28.

A. n/4 = 28 B. 4n + 28

C. 28 − n = 4 D. 4 × n = 28

- Based on the pattern shown in the table, what is the cost of one bubblegum?

A. 4 Rs B. 7 Rs C. 8 Rs D. 12 Rs

- If n represents the number of oranges purchased at Rs.0.30 each, which of the following is the total value of the purchase?

A. Rs.0.30 + n B. Rs.0.30 × n

C. Rs.0.30 − n D. n ÷ Rs.0.30

- Find the value of y in the following equation.

9 × y = 9

A. 3 B. 2 C. 0 D. 1

- Swati purchased 6 pens. If D represents the amount she paid for the pens, which of the following represents the cost of one pen?

A. D × 6 B. 6 ÷ D C. D ÷ 6 D. d + 6

- A number divided by 8 is 8. What is that number?

A. 1 B. 16 C. 8 D. 64

- What is the value of x, in x - 3 = 6?

A. 6 B. 7 C. 9 D. 5

- The difference between two numbers is 6. The sum of these two numbers is 18. What is the smaller number of the two?

A. 12 B. 18 C. 6 D. 9

- Parvin works part time at a library on Saturdays. She works for n hours each Saturday and gets paid Rs.8 per hour. Which of the following expressions calculates her total earning on each Saturday?

A. 8 + n B. n ÷ 8 C. (8 + n) ÷ 2 D. n x 8

- Reema makes Rs.5 per hour as a hair stylist. In January, her paycheck was for Rs.400. How many hours did she work?

A. 15 hours B. 80 hours C. 60 hours D. 81 hours

**Answer Keys**

(11)–A; (12)–C; (13)–D; (14)–B; (15)–D; (16)–C; (17)–B; (18)–D; (19)–C; (20)–D; (21)–C; (22)–C; (23)–D; (24)–B