TSIA2 Math Practice Test

Lisa is baking cupcakes for her dad’s birthday. The recipe she finds makes 24 cupcakes, but she wants to make 8. If the recipe requires 4 cups of flour, how many cups will Lisa need?

Mrs. Waters is planning a field trip for her class. The school requires that, for every 5 children, there must be 2 adults. Which of the following represents the ratio of children to the total number of people?

Alicia finds a jacket she likes at a shopping mall for $32. She wants to know the sales tax for the jacket to make sure she has enough money to buy it. The tax is 8.5%. What is the total amount Alicia must pay to buy the jacket?

How can we formulate a function to represent Sarah’s overall spending \((y)\) at an amusement park, where she pays $24 for admission and $3 for each ride \((x)\), assuming she doesn’t purchase any food or drinks during her visit?

Which of the given scenarios can be represented by the following equation?

\(2x+1=25\)

A fair six-sided die (numbered 1–6) is rolled. What is the probability that the number will be even?

Solve the following equation for \(x\):

\(11x+9=4(6x-1)\)

What is the solution to the following equation?

\(5x^2+4x-1=0\)

Using the following chart, determine which team scored the most points after two rounds.

Solve the following equation for \(x\):

\(4+\sqrt{x − 1} = 7 \)

If \(f(x)=3x-5 \,\) and \(\, g(x)=x^2+8\), find \(f(g(x)).\)

A standard football is 11 inches long. A football field is about 100 yards long. How many footballs would you need to cover the entire length of a football field?

What is the total area of the regular pentagon shown below?

\(\text{The area of a regular pentagon} = \dfrac{1}{2} \times \text{perimeter} \times \text{apothem}\)

There are two congruent triangles and three congruent rectangles in the triangular prism shown below. Calculate the surface area of the figure.

A triangle is formed by the following vertices:

\((2, 6),(1, −5),(−6,0)\)

What are the vertices after the triangle is reflected over the y-axis?

Which of the following represents a quantitative set of data?

Choose a box plot that represents the following set of data:

{1, 5, 4, 2, 4, 3, 8, 9, 1, 3, 4, 2, 9}

Find measures of the center for the data set:

{11, 15, 14, 12, 14, 13, 18, 19, 11, 13, 14, 20, 19}

A bag of marbles has 5 red marbles, 3 blue marbles, 1 green marble, and a yellow marble. What is the probability of picking a red marble, then a blue, and then a green without replacing any marbles?

Whitney is selling necklaces and rings to raise money for her trip to New York City. She is selling the necklaces for $8 each and rings for $5 each. She sold 50 items during the day and made $301. How many necklaces and rings did she sell?