Translating Words to Equations

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Show your work for each problem.

1.
Which equation represents "a number increased by 5 equals 12"?
1. a)
2. b)
3. c)
4. d)
2.
What does "the product of 4 and a number" translate to?
1. a)
2. b)
3. c)
4. d)
3.
Translate "5 less than " into an algebraic expression.
4.
Translate "the sum of and 8" into an algebraic expression.
5.
What operation does the word "quotient" indicate?
1. a)Subtraction
2. b)Multiplication
3. c)Division
4. d)Addition
6.
Translate "twice a number decreased by 7" into an algebraic expression.
7.
Which equation represents "three times the sum of a number and 4 equals 21"?
1. a)
2. b)
3. c)
4. d)
8.
Translate and solve: "A number multiplied by 4, then increased by 6, equals 30."
9.
Write an equation for: "8 more than triple a number is 29." Then solve.
10.
A shirt costs 12€ more than a hat. If the shirt costs 35€, write an equation for the hat's cost ().
11.
Maria's age is 3 years less than twice her sister's age. Maria is 15. How old is her sister?
12.
Which equation represents "the difference between a number and 7, divided by 2, equals 5"?
1. a)
2. b)
3. c)
4. d)
13.
A concert ticket costs 5€ more than half the cost of a VIP ticket. If a regular ticket costs 35€, what is the VIP ticket price?
14.
The perimeter of a rectangle is 48 cm. The length is 6 cm more than the width. Find the width.
15.
You earn 15€ per hour plus a 25€ bonus. Write an equation for total earnings () in terms of hours worked ().
16.
The sum of three consecutive integers is 72. Find the smallest integer.