Mixed Math Review

Simplify: 3(2x - 5) + 4(3x + 2)

• 18x - 7

• 12x - 3

Answer explanation

To simplify, distribute the numbers: 3(2x - 5) + 4(3x + 2) = 6x - 15 + 12x + 8 = 18x - 7. Therefore, the correct answer is 18x - 7.

Find the value of x: 5x - 8 = 12

• x = 5

• x = 4

Answer explanation

To find the value of x, add 8 to both sides of the equation: 5x = 20. Then, divide by 5 to get x = 4. Therefore, the correct answer is x = 4.

Calculate the area of a rectangle with length 6 cm and width 4 cm

• 28 square cm

• 24 square cm

Answer explanation

To calculate the area of a rectangle, multiply the length by the width. In this case, 6 cm * 4 cm = 24 square cm. Therefore, the correct answer is 24 square cm.

Solve for y: 2y + 7 = 15

• y = 6

• y = 4

Answer explanation

To solve for y, first subtract 7 from both sides: 2y = 8. Then divide by 2 to get y = 4. Therefore, the correct answer is y = 4.

What is the result of 3^2 + 4^2?

• 25

• 16

Answer explanation

To find the result, we calculate 3^2 = 9 and 4^2 = 16. Adding these together gives us 9 + 16 = 25. Therefore, the correct answer is 25.

If a car travels at 60 km/h for 3 hours, how far did it travel?

• 90 km

• 180 km

Answer explanation

To calculate the distance, multiply the speed (60 km/h) by the time (3 hours) traveled: 60 km/h * 3 hours = 180 km. Therefore, the car traveled 180 km.

Simplify: 5x^2 + 3x - 2x^2 + 7

• 3x^2 + 3x + 7

• 5x^2 + 4x + 7

Answer explanation

Combine like terms to simplify the expression: 5x^2 + 3x - 2x^2 + 7 = 3x^2 + 3x + 7. Therefore, the correct choice is 3x^2 + 3x + 7.

Find the perimeter of a square with side length 9 cm

• 81 cm

• 36 cm

Answer explanation

The perimeter of a square is calculated by multiplying the side length by 4. Therefore, the perimeter of a square with side length 9 cm is 9 cm * 4 = 36 cm.

Solve for z: 4z - 9 = 27

• z = 27 - 9 / 4

• z = 9 + 27 / 4

Answer explanation

To solve for z, first add 9 to both sides of the equation to isolate 4z. Then divide by 4 to find z. Therefore, z = 9 + 27 / 4.

What is the square root of 144?

• 12

• 16

Answer explanation

The square root of 144 is 12 because 12 multiplied by 12 equals 144.