Equations & Word Problems

Solve the equation: 2x + 5 = 3x - 1

• x = 6

• x = 4

• x = -2

• x = 8

Find the solution to the equation: 3/4y = 5

• y = 5.67

• y = 4.5

• y = 7.33

• y = 6.67

Simplify the expression: 2(3x + 4) = 10

• x = 5

• x = 1/3

• x = -4

• x = 2

Translate the following word problem into an equation: If a number is increased by 8, the result is 20. What is the number?

• 15

• 10

• 12

• 18

Identify the key information in the word problem: A rectangle has a length of 5 more than twice its width. If the perimeter is 24, find the dimensions of the rectangle.

• Width: 6, Length: 10

• Width: 3, Length: 15

• Width: 8, Length: 12

• Width: 4, Length: 13

Solve the multi-step word problem: John has 3 times as many apples as Mary. If Mary has 4 apples and John has 12 more than Mary, how many apples does John have?

• 30

• 20

• 16

• 24

Given the equation: 2(x - 3) = 4x + 5, solve for x

• x = -2.5

• x = -5.5

• x = 0

• x = 3.5

If 3/5 of a number is 12, find the number

• 20

• 25

• 15

• 18

Simplify the expression: 3(2x + 1) = 2(3x - 4)

• x = 0

• x = 5

• No solution

• x = -3

A sum of money is divided between two persons in the ratio 5:3. If the difference between their shares is $80, find the total sum of money

• $240

• $320

• $280

• $360