TABE Exam 1 Mathematics

Evaluate the expression.

397 + 451

Which statement best describes a remainder in division?

Evaluate the expression.

\(12 \div 4 \times 3 + 1\)

Find the circumference, in inches, of a circle with a diameter of 6 inches. Use 3.14 for \(\pi\).

What is the intersection of two walls in a room?

What is the order of rotational symmetry for a parallelogram?

Write 62.42% as a fraction.

Write \(1 \frac{11}{20}\) as a percent.

Solve the equation for the unknown.

\(2 \left( x-4 \right) =5 \left( x+2 \right)\)

Solve the inequality for the unknown.

\( \frac{1}{4}x-\frac{1}{3} \left( x+2 \right) \leq \frac{1}{12} \left( 2x+3 \right) +x-1 \)

Solve the system of equations by graphing.

\(y=-2x+3\\y=3\)

Solve the system of equations.

\(x-5y=-21\\3x+y=33\)

If the multiple of some positive number is prime, which statement about that positive number is true?

Identify the variable from a census study that is categorical.

The box plot shows the number of weekly sales by a business during the year. Which statement is true for the box plot?

The bar chart shows the number of boys and girls who participate in sports. What is the greatest difference between numbers of participants in any year?

Elementary school teachers were told that children’s parents were high school graduates, did not complete college, or were college graduates. Then, the children’s grades were compared. Determine the dependent variable.

A sand timer is made up of two cones. What is the volume if the diameter and height of one cone is 30 millimeters?

Find the volume in cubic inches of a cylinder with a circumference of \( 14 \pi \) inches and a height of 12 inches.

Multiply.

\(\frac{2}{5}\times 3\)

Divide.

\(1\frac{9}{14} \div \frac{3}{5}\)

Multiply.

\( -4x^{2}y^{2} \left( 5xy^{3} \right) \)

Perform the operation.

\(\left( 3y^{3}-4y^{2}+6y+3 \right) – \left( 2y^{3}-3y \right)\)

One cell has a diameter of 5 x 10⁻⁸ meter, and another cell has a diameter of  6 x 10⁻⁹ meter. How many times larger is the first cell?

Simplify.

\(\left( 9x^{-2}y^{3} \right) ^{2}\)

Which ratio is equal to 31%?

If a baseball is 15 feet high when a stopwatch reads 3.2 seconds and 30 feet high when the stopwatch reads 3.6 seconds, what is its vertical speed (that is, rate of change of height)? Assume the speed is constant between 3.2 and 3.6 seconds on the stopwatch.

A yield sign in the shape of a triangle has a base length of 90 centimeters and a height of 80 centimeters.

What is the area in square centimeters?

A park is in the shape of a square with side lengths of 175 yards. One corner of the park is on the coordinate plane as (-50,-50). What could be two coordinates of the square?

Solve the equation by completing the square.

\(x^2+10x-10=0\)

Solve the equation by the quadratic formula.

\(x^2+10x+8=0\)

A small landscaping company mows lawns and has three 5.4–gallon gas cans. One day, the landscapers empty each of the gas cans three times. How many gallons of gas did they use?

A pair of jeans with tax costs $39.97, and a shirt with tax costs $18.49. What is the amount of change for a pair of jeans and two shirts if playing with a $100 bill?

Convert 4 tons to pounds.

Convert 147 liters to kiloliters.

Identify the sampling technique that is a convenience sample.

Identify the study that is a survey.

A spinner is labeled 1–10. What is the probability of landing on a multiple of 3?

The table below shows the value of the prizes and the probability of winning a prize in a state contest.

Calculate the expected value.

Find the area in square inches of a circular pizza with a diameter of 10.5 inches. Round to the nearest hundredth. Use 3.14 for π.