Translating Equations Worksheet
This worksheet helps Grade 11 students practice translating verbal expressions into algebraic equations and vice-versa, covering common mathematical operations and inequalities.
Includes
Standards
Topics
Translating Equations Worksheet
Name:
Date:
Score:
Read each question carefully and follow the instructions. This worksheet focuses on translating between verbal expressions and algebraic equations or inequalities.
Translate the following verbal expressions into algebraic equations or inequalities. Use 'x' for the unknown number.
1. Five less than twice a number is equal to fifteen.
2. The product of a number and seven, increased by ten, is at least thirty-one.
3. The quotient of a number and three, decreased by two, is less than the number itself.
4. The sum of three consecutive integers is fifty-four.
Translate the following algebraic equations or inequalities into verbal expressions.
5. 3x + 8 = 20
6. (y - 5) / 2 > 10
7. 4(z + 1) ≤ 16
Choose the correct algebraic translation for each verbal expression.
8. Six more than a number is negative twelve.
6x = -12
x + 6 = -12
x - 6 = -12
x / 6 = -12
9. A number divided by four is no more than five.
x / 4 > 5
x / 4 < 5
x / 4 ≤ 5
x / 4 ≥ 5
Determine if the following statements are true or false.
10. The verbal expression 'the sum of a number and its square' can be translated as x + x².
True
False
11. The algebraic equation '5 - 2x = 1' translates to 'two times a number subtracted from five equals one'.
True
False
Translate the following word problems into algebraic equations or inequalities and then solve them.
12. Sarah bought 3 notebooks and 2 pens. Each notebook costs $4, and she spent a total of $18. How much did each pen cost?
Equation:
Solution:
13. A rectangle has a perimeter of 50 cm. The length is 5 cm more than twice the width. Find the dimensions of the rectangle.
Equation(s):
Solution: