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Arithmetic Operations and Problem Solving Quiz

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#1

What is the result of 8 + 5?

13
Explanation

Addition of 8 and 5.

#2

If a = 6 and b = 3, what is the value of a * b?

18
Explanation

Multiplication of a (6) and b (3).

#3

If a rectangle has length 10 units and width 5 units, what is its area?

25 square units
Explanation

Area calculation for a rectangle.

#4

If the perimeter of a square is 36 units, what is the length of each side?

6 units
Explanation

Perimeter formula for a square.

#5

Solve the expression: 4 + (8 / 2) - 1

11
Explanation

Evaluate the arithmetic expression.

#6

If x = 5 and y = 2, what is the value of x^2 - y^2?

25
Explanation

Substitute x=5 and y=2 into the expression.

#7

Solve the expression: (2 + 3) * 4 / 2

8
Explanation

Follow the order of operations.

#8

If the sum of three consecutive integers is 57, what is the middle integer?

19
Explanation

Set up and solve an equation.

#9

If the product of two consecutive odd integers is 143, what are the integers?

15, 17
Explanation

Set up and solve an equation for consecutive odd integers.

#10

Solve the equation for x: 3x + 7 = 16

3
Explanation

Algebraic solution for x.

#11

Solve the equation for x: 2(x - 3) = 4x + 6

-6
Explanation

Algebraic solution for x.

#12

If a car travels at a speed of 60 km/h for 2 hours, how far does it travel?

120 km
Explanation

Distance calculation using speed and time.

#13

If the sum of two numbers is 20, and their difference is 6, what are the numbers?

8, 12
Explanation

Set up and solve a system of equations.

#14

Solve the system of equations: 2x + y = 10 and x - y = 2

x = 4, y = 2
Explanation

Algebraic solution for x and y.

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