Age Relationships and Geometry Problems

The video tutorial covers various math problems from a practice test, including age calculations, coordinate geometry, ratio analysis, frame perimeter calculations, and solving equations. The instructor provides step-by-step solutions and encourages students to understand the concepts and ask questions if needed.

If Yvonne is 7 years old, how old is Rebecca?

• 20

• 22

• 21

• 19

What is the correct expression for Rebecca's age if Yvonne's age is represented by y?

• 1 - 3y

• 3y - 1

• y - 3

• 3y + 1

What is the side length of a square with a perimeter of 20 units?

• 4

• 7

• 5

• 6

Which of the following coordinates would form a side length of 5 units with point K at (1, 2)?

• (4, 2)

• (1, 6)

• (-4, 2)

• (1, -3)

Why is the student's claim about the ratio of x and y values incorrect?

• The ratio is 2 to 1.

• The ratio is 1 to 5.

• The ratio is 5 to 1.

• The ratio is different for each ordered pair.

What is the total length of wood needed to frame a painting with a height of 24 inches and a width of 18 inches?

• 96 inches

• 100 inches

• 104 inches

• 92 inches

What is the number of square inches of wood needed for a frame if the painting has a height of 36 inches?

• 192

• 144

• 116

• 176

What is the solution to the equation x + 5 = 12?

• 8

• 5

• 6

• 7

Which step is used to solve the equation x + 5 = 12?

• Add 5 to both sides

• Divide both sides by 5

• Subtract 5 from both sides

• Multiply both sides by 5

What information is needed to determine the time it will take for a machine to make enough toy cars to fill an order?

• The number of toy cars available when the order was received

• The number of people needed to run the machine

• The rate at which the machine makes toy cars

• The cost to make each toy car