TSI Practice Test

Front

What is the probability of flipping a coin and getting heads while rolling a die and getting an odd number?

Back

Front

How do you calculate the cost of cookies based on a given price for a specific quantity?

Back

To find the cost of 20 cookies when 12 cookies cost $2.70, first find the cost per cookie: $2.70 / 12 = $0.225. Then multiply by 20: $0.225 * 20 = $4.50.

Front

What is the X-intercept of the line given by the equation 2y = 3x - 6?

Back

To find the X-intercept, set y = 0: 2(0) = 3x - 6, which simplifies to 3x = 6, giving x = 2.

Front

How do you expand the expression (4x + 3)(8x - 1)?

Back

Using the distributive property (FOIL), the expansion is: 4x * 8x + 4x * (-1) + 3 * 8x + 3 * (-1) = 32x^2 - 4x + 24x - 3 = 32x^2 + 20x - 3.

Front

If a 1,500 square ft. home costs $300,000, how do you find the cost of a 2,000 square ft. home?

Back

Use the unit price: $300,000 / 1,500 sq ft = $200 per sq ft. Then multiply by 2,000 sq ft: $200 * 2,000 = $400,000.

Front

What is the formula for calculating probability?

Back

Front

What is the definition of a fair die?

Back

Front

What does it mean to find the intercept of a line?

Back

Finding the intercept of a line involves determining where the line crosses the x-axis (X-intercept) or y-axis (Y-intercept).

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

How do you find the slope of a line from its equation?

Back

For a line in the form y = mx + b, the slope (m) is the coefficient of x. It represents the rate of change of y with respect to x.