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1-2 Variables and Expressions
Translate each phrase into an algebraic expression.
1. four dollars less than the cost of the sweater
SOLUTION: Let c represent the cost of the sweater. The words “less than” indicate subtraction. So, the phrase four dollars less
than the cost of the sweater can be translated into the algebraic expression c – 4.
2. 13 more students than teachers
SOLUTION: Let t represent the number of teachers. The words “more than” indicate addition. So, the phrase 13 more students
than teachers can be translated into the algebraic expression 13 + t.
3. money earned babysitting at $10 per hour
SOLUTION: Let h represent the number of hours of babysitting. The words “per hour” indicate multiplication. So, the phrase
money earned babysitting at $10 per hour can be translated into the algebraic expression 10h.
4. 30 pencils divided among some students
SOLUTION: Let s represent the number of students. The words “divided among” indicate division. So, the phrase 30 pencils
divided among some students can be translated into the algebraic expression 30 ÷ s.
ALGEBRA Evaluate each expression if g = 6, h = 10, and j = 5.
5. h + 15
SOLUTION: 6. g – 3
SOLUTION: 7. 20 – h + g
SOLUTION: 8. 22 – 3j
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SOLUTION: 1-2 Variables and Expressions
8. 22 – 3j
SOLUTION: 9. SOLUTION: 10. 4g + (3h – 4j )
SOLUTION: 11. CAPACITY One pint of liquid is the same as 16 fluid ounces.
a. Suppose the number of pints of liquid is represented by p . Write an expression to find the number of fluid ounces.
b. How many fluid ounces is 5 pints?
SOLUTION: a. Since one pint of liquid is the same as 16 fluid ounces, the number of fluid ounces in p pints can be found by
multiplying 16 by p . So, the expression 16p can be used to find the number of fluid ounces in p pints.
b. To find the number of fluid ounces in five pints, replace p with 5 in the expression 16p .
So, there are 80 fluid ounces in five pints.
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